Chapter 9 Review Test 5 Grade Answers Page 577
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Go Math Grade v Reply Central Chapter 9 Algebra: Patterns and Graphing
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Lesson ane: Line Plot
- Share and Show – Folio No. 371
- UNLOCK the Trouble – Folio No. 372
Lesson 2: Ordered Pairs
- Share and Evidence – Folio No. 375
- Problem Solving – Page No. 376
Lesson three: Investigate • Graph Data
- Share and Show – Folio No. 379
- Problem Solving – Page No. 380
Lesson 4: Line Graphs
- Share and Show – Page No. 383
- Connect to science – Page No. 384
Mid-Chapter Checkpoint
- Mid-Chapter Checkpoint – Vocabulary – Folio No. 385
- Mid-Chapter Checkpoint – Page No. 386
Lesson 5: Numerical Patterns
- Share and Show – Page No. 389
- Problem Solving – Page No. 390
Lesson half-dozen: Problem Solving • Find a Rule
- Share and Show – Folio No. 393
- On Your Own – Page No. 394
Lesson 7: Graph and Analyze Relationships
- Share and Testify – Folio No. 397
- Trouble Solving – Folio No. 398
Chapter 9 Review/Test
- Chapter Review/Exam – Page No. 399
- Chapter Review/Test – Page No. 400
- Affiliate Review/Examination – Page No. 401
- Chapter Review/Examination – Page No. 402
Share and Testify – Page No. 371
Utilise the data to complete the line plot. And so answer the questions.
Lilly needs to buy beads for a necklace. The beads are sold by mass. She sketches a blueprint to determine what beads are needed and then writes down their sizes. The sizes are shown beneath.
\(\frac{ii}{5} g, \frac{2}{five} g, \frac{4}{5} g, \frac{2}{five} k, \frac{1}{5} g, \frac{1}{five} one thousand, \frac{iii}{5} g, \frac{4}{5} m, \frac{1}{v} g, \frac{2}{5} g, \frac{3}{v} m, \frac{3}{5} grand, \frac{2}{5} k\)
Think: There are ___ Xs higher up \(\frac{1}{5}\) on the line plot, and so the combined mass of the beads is _____ fifths, or _____ gram.
Question i.
What is the combined mass of the beads with a mass of 1/5 gram?
\(\frac{□}{□}\) grams
Answer: \(\frac{3}{five}\) grams
Caption:
For first nosotros volition count the number of \(\frac{1}{v}\) grams for each amount. Draw an x for the number of times each amount is recorded to complete the line plot.
There are 3 xs above \(\frac{1}{5}\) on the line plot, so the combined mass of the beads is 3 fifths
3 × \(\frac{ane}{5}\) = 3/5 gram.
Question 2.
What is the combined mass of all the beads with a mass of \(\frac{2}{5}\) gram?
_____ grams
Answer: 2
Explanation:
For start we volition count the number of \(\frac{2}{5}\) grams for each corporeality. Depict an ten for the number of times each amount is recorded to complete the line plot.
At that place are 5 xs above \(\frac{two}{5}\) on the line plot, so the combined mass of the beads is 5 2 fifths.
5 × \(\frac{two}{5}\) = two grams
Question 3.
What is the combined mass of all the beads on the necklace?
_____ grams
Answer: 6
Explanation:
Total mass of all the beads on the necklace is \(\frac{3}{5}\) + ii + \(\frac{8}{5}\) + \(\frac{9}{5}\) = \(\frac{thirty}{5}\) = six
Therefore the combined mass of all the beads on the necklace is vi.
Question iv.
What is the average weight of the beads on the necklace?
\(\frac{□}{□}\) grams
Respond: \(\frac{3}{7}\) grams
Caption:
Divide the sum by the number of beads to discover the average.
The number of beads = 3 + five + iii + two = 14
Split up by half-dozen.
6 ÷ 14 = 3/7
So, the average mass of the chaplet on the necklace is 3/7 gram.
On Your Own
Use the data to complete the line plot. Then respond the questions.
A breakfast chef used different amounts of milk when making pancakes, depending on the number of pancakes ordered. The results are shown below.
\(\frac{i}{2} c, \frac{ane}{4} c, \frac{1}{2} c, \frac{3}{4} c, \frac{one}{2} c, \frac{3}{4} c, \frac{1}{2} c, \frac{1}{4} c, \frac{1}{2} c, \frac{1}{ii} c\)
Question v.
How much milk combined is used in \(\frac{one}{4}\)-cup amounts?
\(\frac{□}{□}\) loving cup
Answer: \(\frac{1}{2}\) cup
Explanation:
For starting time we will count the number of \(\frac{i}{4}\) cups for each amount.
2 × \(\frac{i}{4}\) = \(\frac{1}{2}\)
Question vi.
How much milk combined is used in \(\frac{ane}{ii}\)-cup amounts?
______ cups
Answer: 3 cups
Explanation:
For kickoff we will count the number of \(\frac{1}{2}\) cups for each amount.
In that location are six \(\frac{1}{ii}\) cups
6 × \(\frac{1}{2}\) = 3 cups
Question vii.
How much milk combined is used in \(\frac{3}{iv}\)-cup amounts?
_____ \(\frac{□}{□}\) cups
Answer: 1 \(\frac{1}{ii}\) cups
Explanation:
For first we will count the number of \(\frac{iii}{4}\) cups for each amount.
There are 2 \(\frac{3}{iv}\) cups of milk.
ii × \(\frac{3}{iv}\) = \(\frac{three}{2}\)
Convert from improper fraction to the mixed fraction.
\(\frac{3}{two}\) = one \(\frac{1}{two}\) cups
Question viii.
How much milk is used in all the orders of pancakes?
_____ cups
Answer: 5 cups
Explanation:
\(\frac{1}{2} c\) + [/latex]\frac{1}{4} c[/latex] + [/latex]\frac{1}{ii} c[/latex] + [/latex]\frac{iii}{four} c[/latex] + [/latex]\frac{ane}{ii} c[/latex] + [/latex]\frac{3}{iv} c[/latex] + [/latex]\frac{1}{2} c[/latex] +[/latex]\frac{i}{4} c[/latex] + [/latex]\frac{one}{2} c[/latex] + [/latex]\frac{i}{2} c[/latex]
= iii + [/latex]\frac{1}{4} c[/latex] + [/latex]\frac{3}{iv} c[/latex] + [/latex]\frac{iii}{four} c[/latex] + [/latex]\frac{1}{4} c[/latex]
= 3 + 1 + one = 5cups
Therefore 5 cups of milk is used in all the orders of pancakes.
Question nine.
What is the average amount of milk used for an gild of pancakes?
\(\frac{□}{□}\) cup of milk
Answer: \(\frac{1}{2}\) cup of milk
Explanation:
There are 6 \(\frac{ane}{2}\) cups of milk.
The average amount of milk used for an gild of pancakes is \(\frac{1}{2}\) cup.
Question ten.
Depict an amount yous could add to the information that would brand the average increase.
Type below:
_________
Reply: \(\frac{iii}{iv}\) cup
We can add together \(\frac{three}{4}\) to the data to increase the average amount of milk.
UNLOCK the Trouble – Folio No. 372
Question 11.
For x straight days, Samantha measured the amount of food that her cat Dewey ate, recording the results, which are shown below. Graph the results on the line plot. What is the average amount of true cat food that Dewey ate daily?
\(\frac{ane}{2} c, \frac{three}{8} c, \frac{5}{8} c, \frac{1}{two} c, \frac{5}{eight} c, \frac{one}{4} c, \frac{3}{4} c, \frac{1}{4} c, \frac{1}{2} c, \frac{5}{eight} c\)
a. What do y'all need to know?
Type beneath:
_________
Reply: I need to know the boilerplate corporeality of cat food that Dewey ate daily.
Question 11.
b. How tin yous apply a line plot to organize the information?
Type below:
_________
Answer:
We tin draw the line plot past using the given information.
Question 11.
c. What steps could y'all employ to find the average amount of food that Dewey ate daily?
Type below:
_________
Reply: \(\frac{1}{2}\) cup
Explanation:
Number of days = ten
i/four + one/iv + three/8 + 1/2 + 1/2 + i/two + five/viii + 5/8 + 5/8 + three/iv = 1 + ane + 1/four + three/8 + 1/2 + xv/viii
ii + 18/8 + three/four = two + 3 = 5
The average corporeality of food is 5 ÷ ten = v/10 = \(\frac{one}{2}\) cup
Question 11.
d. Fill in the blanks for the totals of each corporeality measured.
\(\frac{1}{iv}\) cup: __________
\(\frac{3}{8}\) loving cup: __________
\(\frac{i}{2}\) cup: __________
\(\frac{5}{8}\) cup: __________
\(\frac{3}{iv}\) cup: __________
Type below:
_________
Answer:
There are 2 xs above \(\frac{i}{four}\) loving cup: ii
There is 1 x in a higher place \(\frac{3}{viii}\) loving cup: one
There are 3 xs above \(\frac{1}{ii}\) cup: 3
In that location are 3 xs above \(\frac{five}{viii}\) cup: iii
In that location is 1 x above \(\frac{iii}{iv}\) cup: i
Question 11.
east. Detect the total amount of cat food eaten over 10 days.
_____ + _____ + _____ + _____ + _____ = _____
So, the average amount of food Dewey ate daily was ______.
Type below:
_________
Answer:
Number of days = ten
1/4 + one/4 + iii/eight + ane/2 + ane/2 + 1/2 + five/viii + v/8 + 5/eight + 3/4 = ane + 1 + 1/4 + 3/eight + one/ii + 15/eight
2 + eighteen/8 + iii/4 = two + 3 = 5 cups
Question 12.
Examination Prep How many days did Dewey eat the least amount of cat food?
Options:
a. ane day
b. ii day
c. 3 day
d. 4 day
Answer: 1 day
By seeing the higher up line plot we tin can say that Dewey eats the least amount of cat food on day 1.
Thus the correct answer is option A.
Share and Testify – Page No. 375
Apply Coordinate Grid A to write an ordered pair for the given point.
Question 1.
C( _____ , _____ )
Answer: 6, 3
Explanation:
Locate the bespeak for which you desire to write an ordered pair.
Look below at the x-centrality to identify the points horizontal distance from 0, which is its x-coordinate.
Look to the left at the y-centrality to identify the points vertical altitude from 0, which is it's y-coordinate.
And then, the ordered pair for C is (vi, 3).
Question 2.
D( _____ , _____ )
Answer: 3, 0
Explanation:
Locate the betoken for which you desire to write an ordered pair.
Look below at the ten-centrality to identify the points horizontal distance from 0, which is its x-coordinate.
Wait to the left at the y-centrality to identify the points vertical distance from 0, which is it'southward y-coordinate.
Thus the ordered pair for D is (3, 0)
Question 3.
E( _____ , _____ )
Answer: 9, 9
Explanation:
Locate the point for which you want to write an ordered pair.
Look below at the 10-axis to identify the points horizontal distance from 0, which is its x-coordinate.
Look to the left at the y-axis to identify the points vertical distance from 0, which is it's y-coordinate.
Thus the ordered pair for Due east (nine, ix)
Question four.
F( _____ , _____ )
Answer: 10, five
Explanation:
Locate the point for which you desire to write an ordered pair.
Look beneath at the x-axis to identify the points horizontal distance from 0, which is its x-coordinate.
Look to the left at the y-axis to identify the points vertical altitude from 0, which is it's y-coordinate.
Thus the ordered pair for F is (10, 5)
Plot and characterization the points on Coordinate Grid A.
Question 5.
M (0, 9)
Type below:
_________
Answer:
Question vi.
H (8, 6)
Type below:
_________
Answer:
Question seven.
K (10, 4)
Blazon beneath:
_________
Answer:
Question 8.
T (4, 5)
Blazon below:
_________
Reply:
Question 9.
West (5, 10)
Type beneath:
_________
Answer:
Question 10.
R (1, iii)
Type beneath:
_________
Respond:
On Your Ain
Use Coordinate Grid B to write an ordered pair for the given signal.
Question 11.
G( _____ , _____ )
Answer: 6, four
Caption:
Locate the indicate for which y'all want to write an ordered pair.
Look below at the x-axis to identify the points horizontal distance from 0, which is its x-coordinate.
Look to the left at the y-axis to place the points vertical altitude from 0, which is it'south y-coordinate.
So, the ordered pair for 1000 is (half-dozen, 4)
Question 12.
H( _____ , _____ )
Answer: 4, 9
Explanation:
Locate the point for which you want to write an ordered pair.
Await below at the 10-centrality to identify the points horizontal distance from 0, which is its x-coordinate.
Look to the left at the y-axis to identify the points vertical distance from 0, which is it's y-coordinate.
So, the ordered pair for H is (iv, 9)
Question 13.
I( _____ , _____ )
Reply: 0, 7
Caption:
Locate the point for which you want to write an ordered pair.
Expect below at the x-axis to place the points horizontal distance from 0, which is its ten-coordinate.
Look to the left at the y-axis to identify the points vertical distance from 0, which is it's y-coordinate.
So, the ordered pair for I is (0, 7)
Question fourteen.
J( _____ , _____ )
Answer: 9, 5
Caption:
Locate the point for which yous want to write an ordered pair.
Expect below at the 10-axis to place the points horizontal distance from 0, which is its x-coordinate.
Look to the left at the y-centrality to identify the points vertical altitude from 0, which is it'due south y-coordinate.
And then, the ordered pair for J is (nine, v)
Question xv.
K( _____ , _____ )
Reply: three, iii
Explanation:
Locate the betoken for which you want to write an ordered pair.
Look below at the x-axis to identify the points horizontal distance from 0, which is its 10-coordinate.
Look to the left at the y-axis to identify the points vertical distance from 0, which is it's y-coordinate.
Then, the ordered pair for K is (three, 3)
Question 16.
50( _____ , _____ )
Respond: v, ii
Explanation:
Locate the signal for which you lot want to write an ordered pair.
Look below at the x-centrality to identify the points horizontal distance from 0, which is its 10-coordinate.
Look to the left at the y-axis to identify the points vertical distance from 0, which is information technology's y-coordinate.
So, the ordered pair for L is (v, two)
Question 17.
M( _____ , _____ )
Answer: ane, 1
Explanation:
Locate the point for which you lot desire to write an ordered pair.
Look below at the ten-axis to identify the points horizontal altitude from 0, which is its x-coordinate.
Look to the left at the y-axis to place the points vertical distance from 0, which is it'southward y-coordinate.
So, the ordered pair for One thousand is (ane, 1)
Question eighteen.
N( _____ , _____ )
Answer: 2, v
Explanation:
Locate the indicate for which yous desire to write an ordered pair.
Expect below at the 10-axis to identify the points horizontal distance from 0, which is its ten-coordinate.
Look to the left at the y-axis to place the points vertical distance from 0, which is information technology's y-coordinate.
So, the ordered pair for North is (2, five)
Question nineteen.
O( _____ , _____ )
Reply: vii, viii
Explanation:
Locate the signal for which you desire to write an ordered pair.
Expect below at the 10-axis to identify the points horizontal distance from 0, which is its x-coordinate.
Await to the left at the y-centrality to place the points vertical altitude from 0, which is information technology's y-coordinate.
And then, the ordered pair for O is (7, 8)
Question 20.
P( _____ , _____ )
Answer: x, 10
Explanation:
Locate the point for which you want to write an ordered pair.
Expect beneath at the x-centrality to place the points horizontal altitude from 0, which is its x-coordinate.
Look to the left at the y-centrality to identify the points vertical altitude from 0, which is it's y-coordinate.
So, the ordered pair for P is (ten, ten)
Plot and label the points on Coordinate Grid B.
Question 21.
W (8, 2)
Answer:
Question 22.
Eastward (0, 4)
Answer:
Question 23.
X (two, nine)
Answer:
Question 24.
B (3, 4)
Respond:
Question 25.
R (4, 0)
Answer:
Question 26.
F (seven, six)
Answer:
Question 27.
T (5, 7)
Reply:
Question 28.
A (seven, ane)
Reply:
Question 29.
Due south (10, viii)
Answer:
Question 30.
Y (1, half dozen)
Answer:
Question 31.
Q (3, 8)
Respond:
Question 32.
V (3, ane)
Answer:
Problem Solving – Page No. 376
Nathan and his friends are planning a trip to New York Metropolis. Apply the map for 33–38. Each unit represents ane city block.
Question 33.
What ordered pair gives the location of Bryant Park?
( _____ , _____ )
Answer: 4, viii
Question 34.
What's the Fault? Nathan says that Madison Square Garden is located at (0, 3) on the map. Is his ordered pair right? Explain.
Type below:
__________
Answer: He needs to put indicate three on Y-axis but he placed on Ten-Centrality.
Question 35.
The Empire Land Building is located v blocks right and 1 block up from (0, 0). Write the ordered pair for this location. Plot and characterization a betoken for the Empire Country Building.
Blazon below:
__________
Reply: 5, 1
Question 36.
Paulo walks from point B to Bryant Park. Raul walks from point B to Madison Square Garden. If they only walk along the filigree lines, who walks farther? Explain.
__________
Answer: Paulo
By seeing the above graph we can say that Paulo walks farther forth the grid lines.
Question 37.
Explain how to notice the distance betwixt Bryant Park and a hot domestic dog stand at the point (four, ii).
_____ city blocks
Answer: 6
Question 38.
Test Prep Use the map in a higher place. Suppose a pizzeria is located at indicate B. What ordered pair describes this point?
Options:
a. (4,two)
b. (3,4)
c. (2,four)
d. (4,4)
Reply: (2,4)
Share and Show – Page No. 379
Graph the information on the coordinate filigree.
Question 1.
a. Write the ordered pairs for each point.
Blazon below:
__________
Reply: A(1, 30), B (2, 35), C (3, 38), D (iv, 41), Eastward (five, 44)
Question i.
b. What does the ordered pair (3, 38) tell you about Ryan'southward age and height?
Blazon beneath:
__________
Answer: The ordered pair tells that the age of Ryan is 3 and pinnacle is 38 inches.
Question 1.
c. Why would the point (half dozen, 42) be nonsense?
Blazon below:
__________
Answer: The bespeak (six, 42) be nonsense because the superlative will be increased. In the above-ordered pair the height is decreased. So, the argument is nonsense.
Question ii.
a. Write the ordered pairs for each bespeak.
Type below:
__________
Answer: We can write the ordered pairs past using the to a higher place table Day is the 10-axis and height is the y-axis. The coordinates are A (v,one), B (ten,iii), C (15, eight), D (20,12), Eastward (25,16), F(30,19).
Question 2.
b. How would the ordered pairs be different if the heights of the plants were measured every 6 days for thirty days instead of every 5 days?
Respond:
If the heights of the plants were measured every 6 days for 30 days instead of every 5 days the coordinates will be A (6,1), B (12,3), C (eighteen, eight), D (24,12), E (30,16)
Problem Solving – Page No. 380
What's the Error?
Question iii.
Mary places a miniature motorcar onto a rails with launchers. The speed of the automobile is recorded every foot. Some of the information is shown in the table. Mary graphs the information on the coordinate grid beneath.
Look at Mary'due south graphed information.
Find her error.
Graph the data and correct
the error.
• Depict the error Mary made.
Type below:
__________
Respond:
Graph the data and correct the error
Share and Show – Folio No. 383
Utilise the table at the right for one–three.
Question 1.
What scale and intervals would be appropriate to make a graph of the information?
Blazon beneath:
__________
Answer:
Scale is 1 cm = 10°F
Months will be on the x-centrality.
The temperature will be on the y-axis.
Question two.
Write the related pairs as ordered pairs.
Type below:
__________
Reply: The related pairs are A (January, twoscore), B (February, 44), C (Mar, 54), D (Apr, 62), Due east (May, 70)
Question three.
Make a line graph of the data.
Type below:
__________
Question 4.
Use the graph to determine between which 2 months the least modify in average temperature occurs.
Blazon below:
__________
Answer: By seeing the above graph we tin say that January and Feb has the to the lowest degree change in the boilerplate temperature.
On Your Own
Use the table at the right for 5–7.
Question 5.
Write the related number pairs for the plant height as ordered pairs.
Type below:
__________
Answer: The related number pairs of the above table are A (ane, xx), B(ii, 25), C (3, 29), D (four, 32)
Question six.
What calibration and intervals would be appropriate to brand a graph of the data?
Blazon below:
__________
Answer: The above table says that the X-Axis is Month and Y-Centrality is Summit in inches.
Calibration is 1 cm = 5 inches.
Caption:
The horizontal axis could represent months from i to iv. In this case, the scale interval is one month.
The vertical axis could stand for height from 20 inches to 32 inches just we can prove a break in the calibration between 1 inch and 16 inches since at that place are no heights between 0 inches and xx inches, the scale interval is 1 inch.
Question 7.
Make a line graph of the data.
Type beneath:
__________
Question 8.
Use the graph to notice the difference in peak between Calendar month 1 and Month ii.
Type beneath:
__________
Answer: By observing the in a higher place graph we can say that the difference between months 1 and 2 is 5 inches.
25 – twenty = 5 inches
From the graph nosotros can see that the plant grew the well-nigh between one and two months (almost v inches), the least change is between iii and 4 months (almost iii inches).
Question 9.
Use the graph to gauge the superlative at one \(\frac{1}{2}\) months.
_____ in.
Answer: The estimated height at 1 \(\frac{1}{2}\) months is 22.5 inches.
The average of month one and month 2 is (twenty + 25) ÷ 2 = 45/two = 22.5 inches.
Connect to science – Page No. 384
Evaporation changes water on Earth's surface into water vapor. H2o vapor condenses in the atmosphere and returns to the surface as precipitation. This process is called the water cycle. The ocean is an of import part of this cycle. Information technology influences the average temperature and precipitation of a place.
The overlay graph beneath uses ii vertical scales to show monthly average precipitation and temperatures for Redding, California.
Utilize the graph for 10–13.
Question ten.
About how much atmospheric precipitation falls in Redding, California, in February?
_____ inches
Answer: From the graph, we can see that the precipitation in February is four.2 inches.
Question 11.
What is the boilerplate temperature for Redding, California, in February?
_____ °F
Answer: From the graph, we tin run into that the temperature in February is 50°F.
Question 12.
Explain how the overlay graph helps you relate precipitation and temperature for each month.
Type below:
__________
Answer: The boilerplate temperature for each month is plotted on the graph with the blue line and the red bar graph represents the atmospheric precipitation. As the temperature increases the precipitation decreases.
Question xiii.
Describe how the average temperature changes in the first 5 months of the year.
Type below:
__________
Answer: From the graph, we tin can see that the temperature in the starting time 5 months of the year just the amount of precipitation is decreasing. Information technology'southward logical because when the temperature is increasing the amount of precipitation is decreasing.
Question 14.
Test Prep Which day had an increase of 3 anxiety of snowfall from the previous 24-hour interval?
Options:
a. Twenty-four hour period ii
b. Mean solar day 3
c. Solar day v
d. Day 6
Answer: Solar day v
Explanation:
By seeing the above graph we can say that the snow level has increased 3 anxiety from 24-hour interval 4 to Day 5.
Thus the correct answer is option C.
Mid-Affiliate Checkpoint – Vocabulary – Page No. 385
Choose the best term from the box.
Question ane.
The ______ is the horizontal number line on the coordinate grid.
__________
Answer: X-Centrality
The X-Axis is the horizontal number line on the coordinate filigree.
Question 2.
A ______ is a graph that uses line segments to show how data changes over time.
__________
Answer: Line graph
A Line graph is a graph that uses line segments to testify how information changes over time.
Concepts and Skills
Apply the line plot at the right for iii–5.
Question 3.
How many kittens weigh at least \(\frac{3}{8}\) of a pound?
______ kittens
Answer: ix
Explanation:
The line plot shows that at that place are 4 xs to a higher place \(\frac{3}{8}\), three xs above \(\frac{ane}{2}\) and ii xs on \(\frac{5}{8}\).
To observe the kittens weigh at least \(\frac{three}{8}\) nosotros need to add all above \(\frac{3}{8}\)
= 4 + 3 + 2 = ix
Question 4.
What is the combined weight of all the kittens?
______ lb
Reply: v
Caption:
There are 3 xs above ane/4 on the line plot, and so the combined weight of Kitten in the animal shelter is three fourths
three × 1/4 = 3/4.
There are 4 xs above 3/8 on the line plot, so the combined weight of kittens in the animal shelter is 4 three eights or
iv × 3/eight = 12/eight = iii/two
There are 3 xs above ane/2 on the line plot, and then the combined weight of kittens in the beast shelter is 3 halves = three/2
In that location are 2 xs above 5/viii on the line plot, so the combined weight of kittens in the animal shelter is 10/viii
3/4 + 1 4/8 + 1 1/2 + 1 2/8
= three/4 + 12/eight + 3/2 + 10/8 = 6/8 + 12/8 + 12/8 + 10/8 = 40/eight = v lb
Question 5.
What is the average weight of the kittens in the shelter?
______ lb
Answer: v/12
Caption:
Divide the sum you establish in example 4. v lb by the number of the kittens to find the average. The number of kittens is 12 so we will divide 5 lb past 12.
5 ÷ 12 = 5/12.
Thus the average weight of the kittens in the shelter as 5/12 lb.
Use the coordinate grid at the right for 6–13.
Write an ordered pair for the given point.
Question 6.
A( ______ , ______ )
Answer: one, half-dozen
The ordered pair for A is (1,6)
Question vii.
B( ______ , ______ )
Answer: 2, ii
The ordered pair for B is (two, 2)
Question 8.
C( ______ , ______ )
Answer: four, iv
The ordered pair for C is (4, 4)
Question ix.
D( ______ , ______ )
Answer: 0, iii
The ordered pair for D is (0, 3)
Plot and label the point on the coordinate filigree.
Question ten.
E(6, ii)
Type below:
__________
Answer:
Question 11.
F(5, 0)
Type below:
__________
Answer:
Question 12.
G(three, 4)
Type below:
__________
Reply:
Question 13.
H(3, ane)
Type below:
__________
Answer:
Mid-Chapter Checkpoint – Folio No. 386
Question 14.
Jane drew a point that was 1 unit to the right of the y-axis and seven units to a higher place the x-centrality. What is the ordered pair for this location?
( ______ , ______ )
Answer: (1, 7)
The ordered pair for the location is (1, vii).
Question xv.
The graph below shows the corporeality of snowfall in a 6-hour menstruum.
Between which hours did the least amount of snow autumn?
betwixt 60 minutes ______ and hour ______
Answer: From the graph, we can see that the to the lowest degree amount of snow fall between 2 hours and 4 hours, 0 inches.
Question 16.
Joy recorded the distances she walked each 24-hour interval for five days. How far did she walk in 5 days?
______ \(\frac{□}{□}\) miles
Respond: 2 \(\frac{1}{6}\) miles
Caption:
There are iii xs above \(\frac{i}{3}\) = 3 × \(\frac{one}{3}\) = ane
There are one 10 above \(\frac{one}{ii}\) = one × \(\frac{1}{2}\) = \(\frac{1}{2}\)
There is ane ten above \(\frac{2}{3}\) = 1 × \(\frac{ii}{three}\) = \(\frac{two}{3}\)
one + \(\frac{2}{3}\) + \(\frac{i}{2}\) = (6 + 3 + iv)/6 = 13/vi
The mixed fraction of 13/6 is 2 \(\frac{1}{vi}\) miles
Thus she walked 2 \(\frac{1}{six}\) miles in 5 days.
Share and Show – Page No. 389
Utilise the given rules to complete each sequence. And then, complete the rule that describes how nickels are related to dimes.
Question 1.
Type beneath:
__________
Answer: The number of Dimes is 2 times the number of Nickels.
We need to add together five to Nickels = five + 5 + 5 + v + v = 25
We need to add x to Dimes = 10 + x + 10 + ten + 10 = 50
Complete the rule that describes how one sequence is related to the other. Use the rule to observe the unknown term.
Question 2.
Multiply the number of books past ______ to find the corporeality spent.
______
Explain:
__________
Reply: The amount spent is 4 times the number of books so we multiply the number of books by 4 to find the amount spent.
Multiply iv to the amount spent = 24 × 4 = 96
Question 3.
Split up the weight of the bag past _____ to find the number of marbles.
______
Explain:
__________
Answer: The weight of Purse is 3 times the number of marbles Then, nosotros divide the weight of Bag by 3 to find the number of marbles.
Carve up 360 past three
360/iii = 120
On Your Own
Consummate the dominion that describes how one sequence is related to the other. Use the rule to discover the unknown term.
Question 4.
Multiply the number of eggs past _______ to find the number of muffins.
Type below:
__________
Answer: The muffins is 6 times the number of eggs so we multiply the number of eggs past 6 to find the muffins.
The unknown term in the table we will find when multiply 18 by half dozen.
18 × 6 = 108
The unknown term is 108.
Question v.
Divide the number of meters by _______ to observe the number of laps.
Type below:
__________
Answer: The number of meters is 400 times the number of laps then we divide the number of meters by 400 to find the number of laps.
The unknown term in the table we will find when divide 6400 by 400.
6400 ÷ 400 = 16
The unknown term is 16.
Question 6.
Suppose the number of eggs used in Practise 4 is changed to 3 eggs for each batch of 12 muffins, and 48 eggs are used. How many batches and how many muffins will be fabricated?
______ batches
______ muffins
Answer: 16 batches 192 muffins will be made.
Caption:
If we alter to 3 eggs for each batch of 12 muffins and 48 eggs are used we volition have sixteen batches.
sixteen × iii = 48
The muffins are four times the number of eggs then we multiply the number of eggs by iv to fins the number of muffins.
If the number of batches is 16 and in that location are 48 eggs to find the number of muffins we will multiply the number of eggs 48 with 4:
48 × iv = 192
192 muffins will be made.
Problem Solving – Folio No. 390
Question 7.
Emily has a road map with a cardinal that shows an inch on the map equals 5 miles of bodily distance. If a altitude measured on the map is 12 inches, what is the actual altitude? Write the rule you used to notice the actual distance.
______ miles
Answer: sixty miles
Caption:
For starting time the total length of roads is five inches + 7 inches = 12 inches
1 inch on the map represents 5 miles of actual distance so to detect what bodily distance corresponding to 12 inches we will observe with using proportion.
1 inch : 5 inches = 12 inches: 10 inches
1 × 10 = 5 × 12
ten = 60 miles
The bodily altitude which Emily volition drive is 60 miles.
The dominion which nosotros used to find the actual distance is multiplied by 5 which is a mark in solution.
Question 8.
To make a shade of lavender paint, Jon mixes iv ounces of red tint and 28 ounces of blueish tint into i gallon of white paint. If 20 gallons of white paint and eighty ounces of red tint are used, how much blue tint should be added? Write a rule that you can use to find the corporeality of blue tint needed.
______ oz
Answer: 560 oz
Caption:
For one gallon of white paint, Jon mixed 28 ounces of blue tint and then to find how much tint corresponding to twenty gallons of white paint we volition find with using proportion.
1 gallon of white pigment:28 ounces of blueish tint = xx gallons of white paint:x ounces of the blueish tint.
1 × x = 28 × 20
ten = 560
560 ounces of blue tint should exist added.
The rule which we used to find the corporeality of blue tint needed is to multiply by 28 which is the mark in solution.
Question nine.
In the cafeteria, tables are arranged in groups of 4, with each table seating 8 students. How many students tin sit at ten groups of tables? Write the rule you used to find the number of students.
______ students
Reply: 320 students
Explanation:
Tables are arranged in groups of iv, with each table seating 8 students, so in one grouping sit down
4 × eight = 32 students
To find how many students tin can sit at 10 groups of tables, we will find when multiplying 32 students with x.
32 × 10 = 320
Finally, 320 students can sit at ten groups of tables. The rule which we used to notice the number of students is to multiply past 32 which is marked is a solution.
Question x.
Test Prep What is the unknown number in Sequence 2 in the chart? What rule could you write that relates Sequence 1 to Sequence 2?
Options:
a. 70; Multiply by 2.
b. 100; Add 25.
c. 105; Multiply past 3.
d. 150; Add 150.
Answer: 105; Multiply by 3.
Explanation:
The unknown number in Sequence number 7 nosotros volition get when multiply 35 with 3 because the rule that releases the number of miles to the number of runners is multiplying by 3.
The unknown number is: 35 × 3 = 105
Thus the correct answer is selection C.
Share and Show – Folio No. 393
Question 1.
Max builds runway fences. For i manner of fence, each department uses 3 vertical fence posts and 6 horizontal runway. How many posts and rails does he need for a contend that will be ix sections long?
Offset, think most what the problem is asking and what you know. Every bit each section of contend is added, how does the number of posts and the number of rails modify?
Adjacent, make a table and expect for a pattern. Utilize what you know about 1, ii, and 3 sections. Write a rule for the number of posts and runway needed for 9 sections
of fence.
Possible rule for posts: _____________
Possible dominion for rails: ______________
Finally, employ the rule to solve the problem.
Type beneath:
__________
Answer:
Possible rule for posts: 27
Possible dominion for rails: 54
Explanation:
The number of posts is 3 times the number of sections. So, we multiply the number of posts by 3.
With using the dominion the unknown number is ix × 3 = 27
Thus the possible dominion for posts is 27.
At present multiply the number of rails by 2.
With using the rule the unknown number is 27 × ii = 54
Thus the possible dominion for rails is 54.
Question 2.
What if another style of rail fencing has 6 rails between each pair of posts? How many rails are needed for nine sections of this debate?
Possible rule for rail: ____________________
______ rails
Respond: 108 rail
Caption:
The number of posts is three times the number of sections. So, we multiply the number of posts past 3.
With using the rule the unknown number is 9 × three = 27
Thus the possible rule for posts is 27.
Now multiply the number of rails past 4.
With using the rule the unknown number is 27 × 4 = 108
Thus the possible rule for runway is 108.
Question 3.
Leslie is buying a glaze on layaway for $135. She will pay $15 each calendar week until the coat is paid for. How much will she have left to pay after 8 weeks?
$ ______
Reply: $15
Explanation:
Leslie is ownership a coat on layaway for $135. She will pay $fifteen each calendar week until the coat is paid for.
Multiply the number of weeks by xv.
15 × 8 = $120
Now subtract $120 from $135
= $135 – $120 = $fifteen
On Your Own – Folio No. 394
Question 4.
Jane works as a limousine driver. She earns $l for every ii hours that she works. How much does Jane earn in one calendar week if she works forty hours per week? Write a rule and complete the table.
Possible dominion: _____________
$ ______
Reply: 1000
Explanation:
The possible rule for 60 minutes Worked: We can see that the deviation between terms is 2.
So, the rule which describes this is Add together 2.
The possible rule for Jane's Pay: We tin see that the difference between terms is fifty.
So, the rule which describes this is Add l.
Jane's Pay is 25 times the hours worked and so, nosotros will multiply the hours worked by 25 to notice Jane'south Pay.
The unknown number Jane's Pay we volition detect when multiplying twoscore with 25:
twoscore × 25 = 1000
She earns 1000 dollars.
Question 5.
Rosa joins a paperback book club. Members pay $viii to buy 2 tokens, and tin can trade 2 tokens for 4 paperback books. Rosa buys 30 tokens and trades them for 60 paperback books. How much money does she spend? Write a rule and complete the table.
Possible rule: _______________
$ ______
Reply: 120
Explanation:
Possible rule for Tokens: We can see that the difference betwixt terms is 8.
Then, the dominion which describes this is Add viii.
Possible dominion for Games: Nosotros tin run across that the departure betwixt terms is 4.
And so, the rule which describes this is Add together iv.
Tokens are two times the games so, we will divide the tokens by 2 to find how many games can she3 play.
The unknown number of games we will find when dividing 120 with 2:
120 ÷ 2 = lx
She can play 60 games for 120 tokens.
Question half-dozen.
Paul is taking a taxicab to a museum. The taxi driver charges a $three fee plus $ii for each mile traveled. How much does the ride to the museum cost if it is eight miles away?
Answer: $40
Explanation:
Paul is taking a taxicab to a museum. The taxi driver charges a $3 fee plus $2 for each mile traveled.
That means the driver charged $5 per mile.
For 8 miles = 8 × $five = $40.
Question seven.
Examination Prep Which expression could depict the adjacent effigy in the pattern, Figure 4?
Options:
a. 2 × five
b. ii + iv + 4
c. 2 + 4 + 4 + 4
d. sixteen
Answer: 2 + four + 4 + 4
Explanation:
Nosotros can see that the difference between two consecutive figures is 4 squares.
So, the rule which describes this is Add 4.
Thus figure 4 has 14 squares.
Thus the correct answer is selection C.
Share and Show – Page No. 397
Graph and label the related number pairs as ordered pairs.
And so complete and utilize the dominion to find the unknown term.
Question ane.
Multiply the number of tablespoons past ___ to find its weight in ounces.
Blazon below:
_________
Answer: Multiply the number of tablespoons by 2 to detect its weight in ounces.
5 × two = ten
Question 2.
Multiply the number of hours by ____ to find the altitude in miles.
Type below:
_________
Answer: Multiply the number of hours past 3 to observe the altitude in miles.
iv × iii = 12 miles
On Your Own
Graph and label the related number pairs as ordered pairs.
And then consummate and use the rule to find the unknown term.
Question 3.
Multiply the number of inches by ____ to find the distance in miles.
Type below:
_________
Respond: Multiply the number of inches by 5 to find the altitude in miles.
x × 5 = 50
Question 4.
Multiply the number of centiliters by ____ to find the equivalent number of milliliters.
Answer:
Multiply the number of centiliters by ten to find the equivalent number of milliliters.
5 × 10 = 50 milliliters
Problem Solving – Page No. 398
Sense or Nonsense?
Question v.
Elsa solved the following problem.
Lou and George are making chili for the Annual Fireman's Ball. Lou uses 2 teaspoons of hot sauce for every 2 cups of chili that he makes, and George uses 3 teaspoons of the same hot sauce for every loving cup of chili in his recipe. Who has the hotter chili, George or Lou?
Write the related number pairs equally ordered pairs then graph them. Use the graph to compare who has the hotter chili, George or Lou.
Lou's chili: (ii, 2), (four, 4), (half-dozen, 6), (8, 8)
George's chili: (1, 3), (two, 6), (three, ix), (four, 12)
Elsa said that George's chili was hotter than Lou's because the graph showed that the corporeality of hot sauce in George's chili was e'er iii times as dandy as the amount of hot sauce in Lou'due south chili.
Does Elsa's answer brand sense, or is it nonsense?
Explain.
Answer: Elsa'southward Reply makes sense.
Explanation:
Elsa'south answer makes sense because the amount of hot sauce in George's chili was always 3 times as bang-up as the corporeality of hot sauce in Lou'due south chili. To prove this we will take ii points from the graph which has an equal amount of cups of chili and compares the corporeality of hot sauce in George's chili with the amount of hot sauce in Lou's chili.
If nosotros have four cups of George'due south chili and Lou'southward chili the amount of hot sauce in George's chili is 12 teaspoons and the corporeality of hot sauce in Lou's chili is four teaspoons.
12 is iii times greater than 4 so Elsa'due south answer makes sense.
Chapter Review/Exam – Vocabulary – Folio No. 399
Cull the best term from the box.
Question i.
The __________ is the bespeak where the 10-centrality and y-axis run across. Its __________ is 0, and its __________ is 0.
The ________ is the signal where the x-centrality and y-centrality encounter.
Its ________ is 0,
and its ________ is 0.
Reply:
The Origin is the point where the x-axis and y-axis meet.
Its x-coordinate is 0,
and its y-coordinate is 0.
Question two.
A __________ uses line segments to show how information changes over time.
Reply: A line graph uses line segments to show how data changes over time.
Cheque Concepts
Use the table for 3–iv.
Question 3.
Write related number pairs of data as ordered pairs.
Blazon below:
__________
Answer:
The ordered pair for week i is (i, 2)
The ordered pair for week 2 is (2, 6)
The ordered pair for week iii is (three, xiv)
The ordered pair for week 4 is (4, sixteen)
Question 4.
Make a line graph of the data.
Type beneath:
__________
Answer:
The ordered pair for week 1 is (1, 2)
The ordered pair for week ii is (2, half-dozen)
The ordered pair for calendar week 3 is (3, 14)
The ordered pair for week four is (four, 16)
Complete the rule that describes how one sequence is related to the other. Employ the rule to notice the unknown term.
Question 5.
Multiply the number of eggs by ________ to find the number of cupcakes.
_______
Answer:
Multiply the number of eggs by 6 to find the number of cupcakes.
The unknown number in batches 6 nosotros will become when multiply 18 with 6 because the rule that releases the number of eggs to the number of cupcakes is multiplying past vi.
The number of eggs is multiple of 3 and the number of cupcakes is multiple of 6.
Chapter Review/Test – Page No. 400
Fill up in the chimera completely to show your respond.
Question half-dozen.
The messages on the coordinate grid represent the locations of the first iv holes on a golf course.
Which ordered pair describes the location of the hole labeled T?
Options:
a. (0, vii)
b. (1, 7)
c. (vii, 0)
d. (7, 1)
Answer: (0, 7)
By seeing the above graph nosotros can find the location of the hole label T i.e., (0, 7)
Use the line plot at the correct for 7–8.
Question 7.
What is the average of the information in the line plot?
Options:
a. \(\frac{1}{2}\) pound
b. i pound
c. 6 pounds
d. 6 \(\frac{3}{four}\) pounds
Answer: 6 pounds
Explanation:
In that location are three xs above \(\frac{1}{2}\) pound = 3 × \(\frac{1}{ii}\) = 3/2
There are 4 xs above \(\frac{ii}{3}\) pound = iv × \(\frac{two}{3}\) = 8/iii
There is 1 ten in a higher place \(\frac{5}{6}\) pound = 5/half-dozen
At that place are 2 xs higher up \(\frac{1}{6}\) = 2/6
At that place are two xs above \(\frac{ane}{3}\) = two/3
iii/2 + eight/iii + five/six + 2/half-dozen + ii/3 = half dozen pounds
Thus the correct answer is option C.
Question 8.
How many bags of rice weigh at least \(\frac{1}{ii}\) pound?
Options:
a. 2
b. 3
c. 5
d. 8
Answer: 8
Explanation:
Past seeing the above line plot we can find the number of numberless of rice counterbalance at to the lowest degree \(\frac{1}{2}\) pound
At that place are 3 xs above \(\frac{1}{2}\) pound = 3 × \(\frac{ane}{ii}\) = 3/two
In that location are iv xs above \(\frac{2}{iii}\) pound = 4 × \(\frac{2}{3}\) = 8/3
At that place is 1 10 in a higher place \(\frac{5}{6}\) pound = 5/vi
Total number of bags of rice weigh at least \(\frac{ane}{2}\) pound = iii + 4 + one = 8
Thus the correct answer is option D.
Chapter Review/Exam – Page No. 401
Fill in the bubble completely to show your answer.
Utilise the tabular array for ix–x.
Question nine.
Compare Tori's and Martin'due south savings. Which of the following statements is true?
Options:
a. Tori saves 4 times as much per week as Martin.
b. Tori will always take exactly $15 more in savings than Martin has.
c. Tori will save 15 times as much as Martin will.
d. On calendar week 5, Martin volition have $thirty and Tori will have $xc.
Answer: Tori saves iv times equally much per calendar week as Martin.
Explanation:
By seeing the above table nosotros can say that Tori saves 4 times equally much per week as Martin.
Thus the correct answer is option A.
Question 10.
What rule could you use to observe Tori's savings after x weeks?
Options:
a. Add ten from one calendar week to the adjacent.
b. Multiply the week by ii.
c. Multiply Martin's savings by four.
d. Split Martin's savings by 4.
Answer: Multiply Martin's savings by iv.
Explanation:
We tin can detect the savings of Tori past multiplying the savings of Martins by 4.
Thus the suitable argument is Multiply Martin's savings by 4.
Therefore the correct answer is selection C.
Question 11.
In an ordered pair, the x-coordinate represents the number of hexagons and the y-coordinate represents the total number of sides. If the x-coordinate is 7, what is the y-coordinate?
Options:
a. 6
b. seven
c. 13
d. 42
Respond: 6
Explanation:
Given that x-coordinate represents the number of hexagons.
Thus ten-coordinate is vi.
And also given that the y-coordinate represents the number of sides.
The figure hexagon contains 6 sides.
So, the y-coordinate is 6.
Thus the ordered pair is (vii, 6)
Therefore the correct answer is choice A.
Question 12.
Betoken A is 2 units to the correct and 4 units upwardly from the origin. What ordered pair describes signal A?
Options:
a. (2, 0)
b. (2, 4)
c. (4, 2)
d. (0, 4)
Reply: (two, 4)
Explanation:
Point A is 2 units to the correct and iv units upwards from the origin.
2 units volition be located on the ten-centrality and 4 units will be on the y-axis.
Thus the ordered pair for point A is (2, iv)
Therefore the correct reply is selection B.
Chapter Review/Test – Page No. 402
Constructed Response
Question 13.
Mr. Stevens drives 110 miles in 2 hours, 165 miles in 3 hours, and 220 miles in 4 hours. How many miles will he bulldoze in 5 hours?
Explain how the number of hours he drives is related to the number of miles he drives.
_____ miles
Answer: 275 miles
Explanation:
Given that, Mr. Stevens drives 110 miles in 2 hours, 165 miles in three hours, and 220 miles in 4 hours.
We have to divide the number of miles by number of hours
That ways, 110/ii, 165/3, 220/4
the distance gone in 5 hours can exist found with this equation
110/2 x ?/v
multiply 110 past 5 and then divide the production past ii
110 × v= 550
550/2 =275
Thus the answer is Mr. Stevens goes 275 miles in v hr.
Operation Job
Question 14.
Tim opens the freezer door and measures the temperature of the air within. He continues to mensurate the temperature every 2 minutes, as the door stays open, and records the data in the table.
A). On the grid below, make a line graph showing the data in the table.
Type below:
__________
Question 14.
B). Use the graph to judge the temperature at 7 minutes.
Estimate: _____ °F
Answer: By seeing the above graph we tin say that the estimated temperature at vii minutes is 15°F.
Question fourteen.
C). Write a question that tin can be answered by making a prediction. And so answer your question and explicate how you fabricated your prediction.
Type below:
__________
Question: Estimate the temperature at five minutes by using the graph.
Answer: By seeing the in a higher place table we tin say that the estimated temperature at five minutes is 13°F
Conclusion
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