Question 1

Joslyn built the shelf shown below to fit into a narrow closet.

The shelf is made of 3 pieces of wood, each 0.3 meter wide. There is also 0.05 meter of space between the shelf and the wall on each side. What is the width, in meters, of Joslyn's closet?

Accepted Answer

1

Answer

0.8

Answer

1.9

Answer

0.4

Question 2

Multiply: $\quad\frac{7}{8}	imes1\frac{2}{3}$

Accepted Answer

$1\frac{11}{24}$

Answer

$1\frac{19}{21}$

Answer

$1\frac{7}{12}$

Answer

$2\frac{1}{3}$

Question 3

Which value is equivalent to $0.45 \div \frac{9}{10}$?

Accepted Answer

$\frac{1}{2}$

Answer

$50$

Answer

$40.5$

Answer

$\frac{81}{200}$

Question 4

Which estimate is CLOSET to the value of $3\frac{7}{8}	imes5\frac{1}{16}$?

Accepted Answer

$20$

Answer

$24$

Answer

$15$

Answer

$18$

Question 5

Ty is determining the value of the expression below.
$\quad-0.25(-3.25 + 5.65)$
Which shows two expressions that are equivalent to Ty's expression?

Accepted Answer

$2.4\div(-4)$
$-0.25[(-3.25+3.25)+2.4]$

Answer

$13+22.6$
$-25(2.4)\div100$

Answer

$-0.25(8.9)$
$\frac{-5.65}{4}+\frac{3.25}{4}$

Answer

$-\Big(\frac{2}{4}+\frac{0.4}{4}\Big)$
$-25(-325+565)$

Question 6

After a party, there are parts of three pizzas remaining. There is $\frac{3}{4}$ of a pepperoni pizza remaining, $\frac{5}{8}$ of a cheese pizza remaining, and $\frac{11}{12}$ of a sausage pizza remaining. The $5$ friends who organized the party split the remaining pizza equally. What fraction of a whole pizza does each person get?

Accepted Answer

$\frac{11}{24}$

Answer

$\frac{1}{2}$

Answer

$\frac{5}{24}$

Answer

$\frac{11}{20}$

Question 7

Corrine plans to spend $$\$20$$ on a new shirt, $$\$13$$ on dinner, and $$\$4$$ on a bus ticket. She knows that she will earn $$\$30$$ for baby-sitting. Which number line represents a strategy for determining how many more dollars Corrine needs to earn so that she earns exactly as much as she plans to spend?

Accepted Answer

https://uploads.quizalize.com/c12cfe18-5f88-222a-d95a-aa05c0e62c7d/question/f581b9e9-fb54-114b-cac8-82b45a114e17.png

Answer

https://uploads.quizalize.com/c12cfe18-5f88-222a-d95a-aa05c0e62c7d/question/b1d9bd65-84f6-87bb-a206-cc2898146eab.png

Answer

https://uploads.quizalize.com/c12cfe18-5f88-222a-d95a-aa05c0e62c7d/question/a058a422-c242-e6b2-913e-a76ee10e2a66.png

Answer

https://uploads.quizalize.com/c12cfe18-5f88-222a-d95a-aa05c0e62c7d/question/db2e1480-eee8-a29e-c8f3-97fcae5c7ea4.png

Question 8

Keyana put $0.83$ liter of water into a bucket. Matt put $0.98$ liter of water into another bucket.
When they combined their water into a bigger bucket, $10\%$ of the water spilled out. The water they collected had a weight of $1.021$ kilograms per liter of water. The expression shown below represents the weight, in kilograms, of the water in the bigger bucket.

Rounded to the nearest thousandth, what is the weight, in kilograms, of the water in the bigger bucket?

Accepted Answer

$1.663$

Answer

$1.748$

Answer

$1.848$

Answer

$1.763$

Question 9

Simon is filling the water tank shown below.

After $2$ minutes, the tank is filled up to $\frac{1}{5}$ of its height. What is the rate, in cubic meters per minute, at which Simon is filling up the water tank?

Accepted Answer

$. 0.025$

Answer

$0.050$

Answer

$0.100$

Answer

$0.125$

Question 10

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 11

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 12

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 13

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 14

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 15

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 16

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 17

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 18

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 19

Ryan is training for a bicycle race.

$\quad\bullet\enspace$ The distance he rides is $44\frac{1}{2}$ miles long.
$\quad\bullet\enspace$He rides a portion of the distance at a slow speed both to warm up and to cool down.
$\quad\bullet\enspace$ Ryan rides $\frac{4}{5}$ of the distance at a fast speed for training.
$\quad\bullet\enspace$Of the slow-speed portion, $\frac{1}{3}$ is for the warm-up.

Which estimate is CLOSEDT to the distance, in miles, Ryan rides to cool down?

Accepted Answer

6

Answer

9

Answer

12

Answer

3

Question 20

The pressure on an object that is underwater increases by 4.3 pounds per square inch for every 10 feet the depth of the object increases. The equation below represents this relationship.

Based on the relationship, which statement about the variable $x$ in the equation is true?

Accepted Answer

The variable $x$ is the independent variable in the relationship and represents the depth,
in feet, of the object.

Answer

The variable $x$ is the dependent variable in the relationship and represents the pressure,
in pounds per square inch, on the object.

Answer

The variable $x$ is the dependent variable in the relationship and represents the depth,
in feet, of the object.

Answer

The variable $x$ is the independent variable in the relationship and represents the pressure,
in pounds per square feet, on the object.

Question 21

Kyle sold an antique through an online auction website. The website host charged Kyle $$\$15$$, plus $2.5\%$ of the final selling price of the antique. After selling the antique, Kyle had to pay the website host $$\$32$$. What was the final selling price of the antique?

Accepted Answer

$680

Answer

$68

Answer

$1,280

Answer

$600

Question 22

Mary earned $$\$35.00$$ for walking her neighbor's dogs.

$\quad\bullet\enspace$ Mary charged a flat fee of $$\$5.00$$ to walk the dogs.
$\quad\bullet\enspace$ Mary also charged $$\$2.50$$ for each $\frac{1}{4}$ hour she walked the dogs.

For exactly how many hours did Mary walk her neighbor's dogs?

Accepted Answer

3

Answer

4

Answer

6

Answer

12

Question 23

Mr. Jones is taking his family to see a play. There are $10$ people going to the play, and they take $2$ cars. Mr. Jones pays $$\$5.50$$ for parking for each car. He pays the same price for each ticket. Mr. Jones is charged a total of $$\$142.00$$ for tickets and parking. What is the price of each ticket to the play?

Accepted Answer

$13.10

Answer

$6.55

Answer

$14.20

Answer

$13.65

Question 24

Students in a dance class filled out a survey. There were $25$ girls and some boys who participated in the survey. The results showed that $20\%$ of the students prefer tap dance to ballroom dance. There are $9$ students who prefer tap dance. Which equation can be used to find the number of boys $(x)$ who participated in the survey?

Accepted Answer

$0.2(x + 25) = 9$

Answer

$0.2x + 25 = 9$

Answer

$25 + x = 0.2  	imes 9$

Answer

$0.2(25-9) = x$

Question 25

A real estate agent earns $$\$2,000$$ per month plus $5\%$ of the selling price of each house sold. The agent wants to earn more than $$\$60,000$$ this year. Which inequality represents the possible combined selling price $(x)$ of all the houses sold during the year for the real estate agent to meet his goal?

Accepted Answer

$x >720,000$

Answer

$x > 1,160,000$

Answer

$x > 11,600$

Answer

$x >180,000 $

Question 26

Heidi must correctly answer at least $80\%$ of the questions on an exam to advance to the next level in her online course. Heidi has already correctly answered $26$ questions and incorrectly answered $4$ questions. How many of the $15$ questions remaining must Heidi correctly answer to advance to the next level?

Accepted Answer

at least 10

Answer

at least 11

Answer

at least 12

Answer

at least 13

Question 27

A machine part consists of two cylinders aligned along the same vertical axis. A scale drawing of the part is represented below.

The part is cut in half through the vertical axis. What is the total area, in square inches, of the actual two-dimensional cross-section that is the result of the cut?

Accepted Answer

72 sq in.

Answer

216 sq in.

Answer

42 sq in.

Question 28

A city is building a new pool. A scale drawing of the pool is shown below.

What is the area, in square feet, of the pool?

Accepted Answer

$144\pi$

Answer

$48\pi$

Answer

$24\pi$

Answer

$16\pi$

Question 29

Triangle $	ext{ABC}$ is shown below.

What is the measure of angle $	ext C$?

Accepted Answer

$100^\circ$

Answer

$40^\circ$

Answer

$140^\circ$

Answer

$90^\circ$

Question 30

A three-dimensional solid is sliced by a plane perpendicular to a base of the solid. The result of the slice is an isosceles trapezoid. Which figure could be the three-dimensional solid?

Accepted Answer

https://uploads.quizalize.com/c12cfe18-5f88-222a-d95a-aa05c0e62c7d/question/43f03b13-f905-acbb-ba1c-a53f118aecb6.png

Answer

https://uploads.quizalize.com/c12cfe18-5f88-222a-d95a-aa05c0e62c7d/question/547d3235-7ae1-cbfa-de2c-b551c11f3971.png

Answer

https://uploads.quizalize.com/c12cfe18-5f88-222a-d95a-aa05c0e62c7d/question/1fcf01c1-3992-5dd6-9190-638ba98f9cd5.png

Answer

https://uploads.quizalize.com/c12cfe18-5f88-222a-d95a-aa05c0e62c7d/question/3f78c501-9392-eb35-7a35-cca404d46118.png

Question 31

Mika will use copies of one of the triangles shown in the diagram below to cover a rectangular poster as completely as possible.

The poster is $12$ inches wide and has an area of $480$ square inches. The triangle Mika will use is isosceles. The copies are all full size and do not overlap on the poster. Which set of statements identify the triangle Mika should use to cover the poster as completely as possible and the area of the poster that will remain uncovered?

Accepted Answer

Mika should use triangle 3, and 48 square inches of the poster will remain uncovered.

Answer

Mika should use triangle 1, and no portion of the poster will remain uncovered.

Answer

Mika should use triangle 2, and no portion of the poster will remain uncovered.

Answer

Mika should use triangle 3, and 12 square inches of the poster will remain uncovered.

Question 32

In the figure shown below, lines $j$ and $k$ are parallel.

Which equation can be used to find the value of $x$ in the figure?

Accepted Answer

$x + 40) + (2x + 20) = 180$

Answer

$(x + 40) + (2x + 20) = 90$

Answer

2(x + 40) = 2x + 20

Answer

$x + 40) = (2x + 20)$

Question 33

A circular lampshade with a diameter of $14$ inches has a length of wire that goes around it exactly one time. How many inches of wire are needed to go around the lampshade exactly one time?

Accepted Answer

$14\pi$

Answer

$196\pi$

Answer

$49\pi$

Answer

$7\pi$

Question 34

The figure below represents a circular fountain.

Rounded to the nearest square foot, what is the area of the fountain?

Accepted Answer

10

Answer

38

Answer

44

Answer

11

Question 35

Shannon has several cubes. Each cube is 3 feet high. Shannon covers all but one face of each cube with foil. She uses a total of 360 square feet of foil to cover the faces. How many cubes does Shannon have?

Accepted Answer

8

Answer

24

Answer

10

Answer

40

Question 36

Marcus wants to decorate his box that is in the shape of a cube. He decides to cover the entire box with red colored paper except the circle with his name on it. The box is shown below.

Rounded to the nearest square centimeter, how much red paper is needed to cover Marcus's box?

Accepted Answer

130

Answer

72

Answer

105

Answer

150

Question 37

Four candidates are running for school president. A random sample of students at the school are surveyed about which of the candidates they are likely to choose. The chart below shows the number of students from the random sample who chose each candidate.

A total of 800 students are expected to vote in the election for school president. Based on the information shown in the chart, which election outcome is MOST LIKELY?

Accepted Answer

Janelle will win with 128 more votes than the second-place finisher, Rasheed.

Answer

Rasheed will win with 189 more votes than he had in the survey.

Answer

Janelle will win with 8 more votes than the second-place finisher, Rasheed.

Answer

Rasheed will win with 192 votes.

Question 38

The miles-per-gallon averages for random samples of cars and of small trucks are shown in the box-and-whisker plots below.

Based on the box-and-whisker plots, which statement about the miles-per-gallon averages of the cars and small trucks is MOST LIKELY true?

Accepted Answer

About $50\%$ of the cars and $50\%$ of the small trucks get between $18$ and $27$ miles per gallon.

Answer

About $75\%$ of the small trucks get a lesser average number of miles per gallon than the least number of average miles per gallon of any car in the car sample.

Answer

About $50\%$ of the cars and $25\%$ of the small trucks get between $25$ and $33$ miles per gallon.

Answer

About $75\%$ of the cars get a greater average number of miles per gallon than any small truck in the small truck sample.

Question 39

A computer scientist writes a program to generate single-digit and double-digit numbers using the digits 1 and 2. The probabilities the scientist used in the program are shown in the table below.

Which statement about the likelihood of a number being generated by the program is true?

Accepted Answer

The program is more likely to generate a single-digit number than a double-digit number.

Answer

The program is equally likely to generate a single-digit number as a double-digit number.

Answer

The program is more likely to generate a double-digit number containing only 1s or
only 2s than a double-digit number containing a 1 and a 2.

Answer

The program is unlikely to generate a double-digit number.

Question 40

The number of paper clips of each color in a box is shown in the table below.

Margo randomly selects 1 paper clip from the box, records its color, and returns it to the box. She does this 10 times. Which table shows experimental results from Margo's selections that are CLOSEST to the expected results when based on the probabilities of selecting a paper clip of each color from the box?

Accepted Answer

https://uploads.quizalize.com/c12cfe18-5f88-222a-d95a-aa05c0e62c7d/question/da0f6788-53be-0ca4-1e09-18025083a18e.png

Answer

https://uploads.quizalize.com/c12cfe18-5f88-222a-d95a-aa05c0e62c7d/question/d3a39986-bad8-214f-b74d-fee197741caa.png

Answer

https://uploads.quizalize.com/c12cfe18-5f88-222a-d95a-aa05c0e62c7d/question/561ccf66-69e4-c5eb-6bd0-33088486ce8a.png

Answer

https://uploads.quizalize.com/c12cfe18-5f88-222a-d95a-aa05c0e62c7d/question/f80ae0bc-9c9c-80f0-5a2a-2966706f32af.png

Question 41

The table below shows the numbers of game chips of different colors in a bag.

Danielle randomly selects one chip from the bag. Which statement about the selection is true?

Accepted Answer

Selecting a blue or red chip is less likely than selecting a yellow chip.

Answer

Selecting a yellow, green, or blue chip is certain.

Answer

The probability of selecting a green chip is  $\frac{1}{20}$.

Answer

The probability of selecting a red chip is $\frac{1}{3}$.

Question 42

Charlene has 12 plastic cups. Of the 12 plastic cups, 3 are green, 4 are red, and 5 are blue. She stacks the cups into a single stack in random order. What is the probability that the cup on top of the stack is NOT green?

Accepted Answer

$\frac{3}{4}$

Answer

$\frac{2}{5

Answer

$\frac{2}{3}$

Answer

$\frac{1}{4}$

Question 43

A carpenter will make a single, straight cut through the rectangular prism shown below by randomly choosing a face and cutting parallel to that face. The cut will be a whole number of centimeters from the chosen face.

What is the probability that the area, in square centimeters, of the cross section created by the cut will NOT be a multiple of 100?

Accepted Answer

$\frac{1}{3}$

Answer

$0$

Answer

$1$

Answer

$\frac{2}{3}$

Question 44

Keisha has a bag containing blue, green, orange, and red marbles. The number of marbles of each color is shown in the table below

Keisha randomly selects 1 marble from the bag, records its color, and returns the marble to the bag. She does this three times. What is the probability Keisha selects a red marble, then a green marble, and then a blue or orange marble?

Accepted Answer

$\frac{7}{500}$

Answer

$\frac{4}{25}$

Answer

$\frac{3}{500}$

Answer

$\frac{7}{108}$

Question 45

Carla uses a special $	ext{12-sided}$ number polyhedron for some experiments. Some information about the polyhedron is listed below.

$\quad\bullet\enspace$ There is a $\frac{1}{3}$ probability that Carla will roll a number that is a multiple of $3$.
$\quad\bullet\enspace$ There is a $\frac{5}{12}$ probability that Carla will roll a prime number.

Carla rolls $	ext{12-sided}$ number polyhedron two times. What is the probability that Carla rolls a multiple of $3$ on her first roll, and a number that is not a prime number on her second roll?

Accepted Answer

$\frac{7}{36}$

Answer

$\frac{7}{18}$

Answer

$\frac{5}{18}$

Answer

$\frac{5}{36}$

Related quizzes

Related quizzes