Question 1

The graph below models the relationship between the time $(x)$, in hours, Janet works and the amount of money $( y)$, in dollars, she earns.

Which statement explains how Janet knows that the number of hours she works and the amount of money she earns are proportionally related?

Accepted Answer

The graph is a straight line that passes through $(0, 0)$.

Answer

The graph is a straight line that passes through $(1, 12.5)$.

Answer

The graph is a straight line with a positive slope.

Answer

The graph is a straight line with no negative $x$ or $y$ values.

Question 2

Which graph shows a proportional relationship with a unit rate of $\frac{3}{2}$?

Accepted Answer

https://uploads.quizalize.com/c12cfe18-5f88-222a-d95a-aa05c0e62c7d/question/46435fda-773c-ad49-6a01-61176373a0fb.png

Answer

https://uploads.quizalize.com/c12cfe18-5f88-222a-d95a-aa05c0e62c7d/question/20fc523a-35ae-54d3-bf88-d37b7a100e05.png

Answer

https://uploads.quizalize.com/c12cfe18-5f88-222a-d95a-aa05c0e62c7d/question/e788c8c8-9974-878c-0083-486049e2c1fc.png

Answer

https://uploads.quizalize.com/c12cfe18-5f88-222a-d95a-aa05c0e62c7d/question/8c31c243-1ef2-3caf-91c6-46b5703c37bf.png

Question 3

The graph below shows the relationship between the number of pages printed $(x)$ at a print shop and the total price $(y)$, in dollars.

Based on the graph, what is the unit price at the print shop?

Accepted Answer

$0.50 per page

Answer

$0.10 per page

Answer

$0.20 per page

Answer

$0.25 per page

Question 4

The table below shows the relationship between the number of water bottles at a park that are thrown away and the number of water bottles at the park that are recycled for each of five months.

Which statement correctly describes the relationship between the number of water bottles that are thrown away and the number of water bottles that are recycled at the park each month?

Accepted Answer

The relationship is proportional. For every 10 bottles that are thrown away each month,
3 bottles are recycled.

Answer

The relationship is not proportional. The difference between the number of bottles that
are thrown away and the number of bottles that are recycled is not the same for each
month.

Answer

The relationship is proportional. For every 3 bottles that are thrown away each month,
10 bottles are recycled.

Answer

The relationship is not proportional. The number of water bottles that are thrown away
increases more from month to month than the number of water bottles that are recycled.

Question 5

A technician tests batteries for a battery manufacturer several times each week. She determines that the number of defective batteries is proportional to the number of batteries tested. The table below shows the numbers of batteries the technician tested at two different times during week 1 and the number of defective batteries she found each time.

Between week 1 and week 2, the battery manufacturer changed its process. The number of defective batteries is still proportional to the number of batteries tested, but the constant of proportionality is greater. The technician tested 480 batteries during week 2 and found that 18 were defective. By what percent did the constant of proportionality increase?

Accepted Answer

$50\%$

Answer

$66\frac{2}{3}\%$

Answer

$125\%$

Answer

$33\frac{1}{3}\%$

Question 6

A concert hall sells tickets in three different price ranges. For each price range, there are both adult and child rates.

Which statement describes the relationship between the adult ticket prices $(a)$, in dollars, and the child ticket prices $(c)$, in dollars?

Accepted Answer

The relationship is proportional. It can be represented as $c=\frac{1}{4}a$.

Answer

The relationship is not proportional. The change in $c$ is not constant, and therefore the
relationship cannot be expressed as one equation.

Answer

The relationship is proportional. It can be represented as $c=4a$.

Answer

The relationship is not proportional. The change in $a$ is not constant, and therefore the
relationship cannot be expressed as one equation.

Question 7

When Rachel exceeds the number of minutes on her cell phone plan, she is charged an extra cost for each minute. The graph below shows the total cost $(y)$, in dollars, for exceeding her cell phone plan's minutes by $x$ minutes.

What does the $	ext{y-coordinate}$ represent when the $	ext{x-coordinate}$ has a value of $1$?

Accepted Answer

Rachel pays $0.25 for each minute she exceeds her cell phone plan's minutes.

Answer

Rachel pays $0.50 for each minute she exceeds her cell phone plan's minutes.

Answer

Rachel pays $4.00 for each minute she exceeds her cell phone plan's minutes.

Answer

Rachel pays $1.00 for each minute she exceeds her cell phone plan's minutes.

Question 8

Kenneth is making chocolate cakes. For each cup of milk he uses, he needs to use $1\frac{3}{4}$ cups of flour. For each cup of flour he uses, he needs to use $\frac{3}{7}$ cup of cocoa powder. Kenneth is making enough cakes that he needs to use $4$ cups of milk. How many cups of cocoa powder does Kenneth need to use?

Accepted Answer

$3$

Answer

$7$

Answer

$\frac{3}{28}$

Answer

$\frac{12}{7}$

Question 9

The graph below represents the amount of simple interest $(I)$, in dollars, earned on an investment of $P$ dollars over one year. The interest rate is $r$.

An investment of $$\$600$$ at a different interest rate $(q)$ will earn $$\$24$$ in simple interest over one year. Which statement about interest rates $r$ and $q$ is true?

Accepted Answer

Interest rate r is $2\%$ greater than interest rate $q$.

Answer

Interest rate $q$ is $12\%$ less than interest rate $r$.

Answer

Interest rate $r$ is $8\%$ less than interest rate $q$.

Answer

Interest rate $q$ is the same as interest rate $r$.

Question 10

For a science experiment, Annie removes a cold liquid from a refrigerator and measures its temperature every $\frac{1}{2}$ minute. Annie finds that the temperature increases by $1\frac{3}{4}$ degrees Fahrenheit $(^\circ	ext F)$ between each measurement for three minutes. What is the rate per minute of the temperature increase?

Accepted Answer

$3\frac{1}{2}^\circ	ext F$ per minute

Answer

$\frac{7}{8}^\circ	ext F$ per minute

Answer

$1\frac{1}{4}^\circ	ext F$ per minute

Answer

$2\frac{1}{4}^\circ	ext F$ per minute

Question 11

Clark and Phil are each running to raise money. The amount of money $	ext{(y)}$, in dollars, they each raise is based on the distance $	ext{(x)}$, in miles, they each run. Clark has an initial donation that he has received regardless of how many miles he runs. The graphs shown below model the amount of money each will raise based on the distance they each run.

What is the unit rate for the person for whom the amount of money and the number of miles
are proportionally related?

Accepted Answer

$7.50 per mile

Answer

$5.00 per mile

Answer

$15.00 per mile

Answer

$30.00 per mile

Question 12

Joe has a picture that measures $8$ centimeters by $12$ centimeters. He creates four enlargements of the picture. The table below shows the width and the length of each enlargement.

What is the constant of proportionality between the width and the length of the pictures?`

Accepted Answer

1.5

Answer

2.5

Answer

0.5

Answer

1.2

Question 13

Jaya is painting her room. She mixes $2$ pints of blue paint with $5$ pints of red paint to get her desired color. Which equation can be used to find the number of pints of blue paint $	ext{(x)}$ Jaya should mix with $18$ pints of red paint?

Accepted Answer

$\frac{2}{5}=\frac{x}{18}$

Answer

$\frac{x}{18}=\frac{5}{2}$

Answer

$\frac{2}{18}=\frac{5}{x}$

Answer

$\frac{2}{x}=\frac{18}{5}$

Question 14

Ernesto made a graph of the distance $(y)$, in miles, he can ride a bicycle in $x$ hours. Ernesto can ride $5.5$ miles in $0.5$ hour. Which point on the graph represents Ernesto's rate of travel, in miles per hour?

Accepted Answer

$(1, 11)$

Answer

$(0, 5.5)$

Answer

$(1, 5.5)$

Answer

$(0, 11)$

Question 15

The ratio of the number of students in the chess club to the number of students on the math team is $1 : 3$. The ratio of the number of students on the math team to the number of students on the quiz bowl team is $1 : 2$. There are $4$ students in the chess club. How many students are on the quiz bowl team?

Accepted Answer

24

Answer

12

Answer

7

Answer

9

Question 16

Coach Patrick is ordering football jerseys for his team. The table below shows the relationship between the number of jerseys ordered and the total cost of the jerseys.
Based on the information shown in the table, what is the total cost of ordering 52 jerseys?

Accepted Answer

$390

Answer

$375

Answer

$352

Answer

$450

Question 17

A turtle traveled $\frac{1}{10}$ mile in $\frac{1}{2}$hour. What was the turtle's rate in miles per hour?

Accepted Answer

$\frac{1}{5}$

Answer

$\frac{1}{6}$

Answer

$\frac{1}{12}$

Answer

$\frac{1}{20}$

Question 18

The graph below shows the relationship between the number of pounds of bananas purchased and the cost of the bananas. Four points on the graph are labeled.
Based on the graph, which statement about the unit price of the bananas is true?

Accepted Answer

Point $Y$ indicates that the unit price is $$\$0.60$$ per pound.

Answer

Together, point $W$ and point $X$ indicate that the unit price is $$\$0.50$$ per pound.

Answer

Together, point $X$ and point $Z$ indicate that the unit price is $$\$2.40$$ per pound.

Answer

Point $Z$ indicates that the unit price is $$\$0.00$$ per pound.

Question 19

One pound of pasta noodles can be made using the ingredients shown in the recipe below.
A chef uses $166\frac{1}{4}$cups of flour each week to make noodles. How many pounds of noodles does the chef make each week?

Accepted Answer

$47\frac{1}{2}$

Answer

$55\frac{1}{2}$

Answer

$53\frac{1}{4}$

Answer

$28\frac{1}{2}$

Question 20

A hardware store sells nails by the pound. The graph below represents the price of nails at the store.
What is the unit price of nails at the hardware store?

Accepted Answer

$2.50 per pound

Answer

$3.00 per pound

Answer

$0.40 per pound

Answer

$5.00 per pound

Question 21

The graph below shows the relationship between the number of pounds of tangerines purchased and the cost.
Based on the graph, which statement about the cost of tangerines is true?

Accepted Answer

The cost of 2 pounds of tangerines is $5.

Answer

The cost of 5 pounds of tangerines is $2.

Answer

The cost of 2 pounds of tangerines is $1.

Answer

The cost of 1 pound of tangerines is $2.

Question 22

Mr. Lockhart is digging a trench to put in the new school sprinkler system. Every $\frac{1}{4}$  hour, the length of his trench increases by $\frac{2}{3}$ foot. By how much does the length, in feet, of Mr. Lockhart's trench increase each hour?

Accepted Answer

$\frac{8}{3}$

Answer

$\frac{11}{12}$

Answer

$\frac{1}{6}$

Answer

$\frac{3}{7}$

Question 23

Gordon made a scale drawing of a bedroom. The table below shows the actual widths and the scaled widths for some objects in Gordon's drawing.

Gordon made a mistake in his scale drawing. For which object did Gordon NOT use the same scale as he did for the other objects?

Accepted Answer

bed

Answer

floor

Answer

table

Answer

door

Question 24

The table below shows the number of baskets Javier attempted and the number of baskets he made during his first three basketball games this season.

Which statement correctly describes the relationship between the number of baskets Javier attempted and the number of baskets he made during each game?

Accepted Answer

The relationship is not proportional because the ratio of the number of baskets attempted to the number of baskets made is not constant.

Answer

The relationship is not proportional because the number of baskets attempted from game to game increases more than the number of baskets made.

Answer

The relationship is proportional. For every $5$ baskets Javier attempted each game, he made $2$ baskets.

Answer

The relationship is proportional. For every $5$ baskets Javier attempted each game, he made $3$ baskets.

Question 25

Anna opened a bank account. She adds the same amount of money to her account each month. The table below shows the amounts of money in her account at the ends of certain numbers of months.

How much money does Anna add to her bank account each month?

Accepted Answer

$15

Answer

$10

Answer

$14

Answer

$12

Question 26

Ms. Garcia drove from her house to her sister's house. The distance $(y)$, in miles, she drove based on the time $(x)$, in hours, is graphed on a coordinate grid. Her drive is represented by the line segment with endpoints at $(0, 0)$ and $(2\frac{1}{2},120)$.  Based on the point on the graph with an $x	ext{-coordinate}$ of $1$, which statement MUST be true?

Accepted Answer

Ms. Garcia drove at a unit rate of 48 miles per hour.

Answer

Ms. Garcia drove $\frac{1}{48}$of the distance from her house to her sister's house.

Answer

Ms. Garcia drove from her house to her sister's house in 1 hour.

Answer

Ms. Garcia drove $1$ mile in $48\%$ of an hour.

Question 27

An art dealer purchased a painting $5$ years ago for $$\$2,000$$. Now, the value of the painting has increased by $75\%$. What is the value of the painting now?

Accepted Answer

$3,500

Answer

$3,000

Answer

$2,750

Answer

$2,375

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