Question 1

The table shows the number of photocopies made during one day at each of the 25 schools in a school district.

Which histogram displays all the data in the table correctly?

Accepted Answer

https://uploads.quizalize.com/90f2e2db-1b6a-4f61-bd4e-7be740a51fc0/question/141d1047a31f834e325485ecd385e288d6b30b24.png

Answer

https://uploads.quizalize.com/90f2e2db-1b6a-4f61-bd4e-7be740a51fc0/question/3150947e3aac7b2c117632f1778a8bfe01a1b34a.png

Answer

https://uploads.quizalize.com/90f2e2db-1b6a-4f61-bd4e-7be740a51fc0/question/baba7564123466792238ed7f0f5c012535b565e8.png

Answer

https://uploads.quizalize.com/90f2e2db-1b6a-4f61-bd4e-7be740a51fc0/question/6b41ccc2a695fce85db3dcbda2828679c9fdc179.png

Question 2

Which Venn diagram shows the correct relationship among different sets of numbers and the correct placement of $-648$?

Accepted Answer

https://uploads.quizalize.com/90f2e2db-1b6a-4f61-bd4e-7be740a51fc0/question/cfaceaddbe2d192e0f42a299f37cff9c566ed6f5.png

Answer

https://uploads.quizalize.com/90f2e2db-1b6a-4f61-bd4e-7be740a51fc0/question/7cb97e8e12928e158ff8d022718e632a899a2b2e.png

Answer

https://uploads.quizalize.com/90f2e2db-1b6a-4f61-bd4e-7be740a51fc0/question/47c7bcfcfa0a53e59841075d5c41a7870cbd4a8c.png

Answer

https://uploads.quizalize.com/90f2e2db-1b6a-4f61-bd4e-7be740a51fc0/question/34229714d695615ef6b2b4626b9de7abddff4b72.png

Question 3

The expression shown can be used to calculate the amount of money in dollars a grocery store customer should receive in change when paying with $$\$50$$.
$\quad 50 - (14 + 12 + 2(5)+  2(2) + 3)$

What amount of change in dollars should the customer receive?

Accepted Answer

$7

Answer

$4

Answer

$29

Answer

$26

Question 4

Which expression is equivalent to
$(6 \cdot p )+ 3$?

Accepted Answer

$3+(p \cdot 6 )$

Answer

$3-(6 \cdot p )$

Answer

$6+ 3 \cdot p$

Answer

$6\cdot(p + 3)$

Question 5

A scientist used $	ext {786 milliliters}$ of a liquid for an experiment.

How many liters of the liquid did the scientist use for this experiment?

Accepted Answer

$	ext {0.786 L}$

Answer

$	ext {7.86 L}$

Answer

$	ext {786,000 L}$

Answer

$	ext {0.0786 L}$

Question 6

Which inequality is true if $p = 3.4$?

Accepted Answer

$8.5\ge 2.5p$

Answer

$3p< 10.2$

Answer

$13.6 \le3.9  p$

Answer

$5p> 17.1$

Question 7

Carlos walked to school on $14$ of the $20$ school days in February.

Which value is equivalent to the fraction of the school days in February that Carlos walked to school?

Accepted Answer

$70\%$

Answer

$56\%$

Answer

$0.07$

Answer

$0.142$

Question 8

The dot plot shows the wing lengths in millimeters for ten birds.

Which statement is supported by the data in the dot plot?

Accepted Answer

More than half of the birds have wing lengths of less than $50$ millimeters.

Answer

Fewer than half of the birds have wing lengths greater than $48$ millimeters.

Answer

There are more birds that have a wing length of $54$ millimeters than birds that have a wing length of $46$ millimeters.

Answer

There are more birds that have a wing length of $52$ millimeters than birds that have a wing length of $51$ millimeters.

Question 9

After $4$ new students joined a class, the class had $32$ students.

Which equation can be used to find $n$, the number of students in the class before the $4$ new students joined?

Accepted Answer

$n+4=32$

Answer

$\frac{n}{4}=32$

Answer

$4n=32$

Answer

$n-4=32$

Question 10

What is the value of the expression shown?

$\quad24 - 5^2$

Accepted Answer

$-1$

Answer

$14$

Answer

$17$

Answer

$5$

Question 11

Which situation can be represented by the equation $y = 12x$?

Accepted Answer

Victoria has $y$ dollars.
This amount is $12$ times $x$, the amount of money in dollars Victoria’s brother has.

Answer

Victoria is $y$ years old.
Her age is $12$ years greater than $x$, her brother’s age in years.

Answer

Victoria spent $x$ dollars to buy a gift for her brother.
She gave the cashier $y$ dollars and received $$\$12$$ in change.

Answer

Victoria went to school for $x$ years.
This is $12$ times $y$, the number of years her brother went to school.

Question 12

The weights of four puppies are shown in pounds.

$\qquad 9.5\quad 9\frac{3}{8} \quad 9.125 \quad 9\frac{3}{4}$

Which list shows these weights in order from greatest to least?

Accepted Answer

$9\frac{3}{4} \quad 9.5\quad  9\frac{3}{8} \quad 9.125$

Answer

$9.125 \quad 9\frac{3}{8} \quad 9.5 \quad 9\frac{3}{4}$

Answer

$9.5\quad 9\frac{3}{8} \quad9\frac{3}{4} \quad 9.125$

Answer

$9\frac{3}{4} \quad 9\frac{3}{8} \quad 9.5 \quad 9.125$

Question 13

The ratio of the number of boys to the number of girls in a choir is $5$ to $4$. There are $60$ girls in the choir.

How many boys are in the choir?

Accepted Answer

$75$

Answer

$80$

Answer

$61$

Answer

$48$

Question 14

The dimensions of a lawn shaped like a trapezoid are given in meters.
What is the area of the lawn in square meters?

Accepted Answer

$60\,	ext m^2$

Answer

$120\,	ext m^2$

Answer

$72\,	ext m^2$

Answer

$108\,	ext m^2$

Question 15

The tables show the relationships between $x$ and $y$ for two data sets.

Which statements describe the relationships between $x$ and $y$ in Data Set I and Data Set II?

Accepted Answer

Both data sets show multiplicative relationships.
In Data Set I, $y$ is 5.5 times $x$, and in Data Set II, $y$ is 5 times $x$.

Answer

Data Set I shows a multiplicative relationship in which $y$ is 5.5 times $x$.
Data Set II shows an additive relationship in which $y$ is 20 more than $x$.

Answer

Both data sets show additive relationships.
In Data Set I, $y$ is 5.5 more than $x$, and in Data Set II, $y$ is 5 more than $x$.

Answer

Data Set I shows an additive relationship in which $y$ is 4.5 more than $x$.
Data Set II shows a multiplicative relationship in which $y$ is 5 times $x$.

Question 16

Four points are labeled on the number line.
Which point best represents $\frac{1}{3}$?

Accepted Answer

Point $M$

Answer

Point $L$

Answer

Point $N$

Answer

Point $K$

Question 17

Ms. Gallegos burns $236$ calories riding her bike each hour. She wants to burn more than $590$ calories riding her bike at the same rate.

Which inequality represents all possible values for $t$, the number of hours Ms. Gallegos must ride her bike to burn more than $590$ calories?

Accepted Answer

$t > 2.5$

Answer

$t < 0.4$

Answer

$t > 0.4$

Answer

$t < 2.5$

Question 18

On Saturday Kai gave his guinea pig $80$ grams of food. The table shows the amount of each type of food he gave to the guinea pig.

Which percentage bar graph best represents the data?

Accepted Answer

https://uploads.quizalize.com/90f2e2db-1b6a-4f61-bd4e-7be740a51fc0/question/f0d28b07a233a09cb917fcdd39794ceb32a361ac.png

Answer

https://uploads.quizalize.com/90f2e2db-1b6a-4f61-bd4e-7be740a51fc0/question/b7596178c24aa3943b66ca4e9233f52abbdd7212.png

Answer

https://uploads.quizalize.com/90f2e2db-1b6a-4f61-bd4e-7be740a51fc0/question/85a9ed2d0b06269b94f402f48029b749c47eb2d2.png

Answer

https://uploads.quizalize.com/90f2e2db-1b6a-4f61-bd4e-7be740a51fc0/question/9da8de55a42d2b809d47933b806fd15c8a220e09.png

Question 19

Four points are labeled on the number line.

Which point represents the value of $\big|	ext- \frac{1}{2}\big|$?

Accepted Answer

Point $R$

Answer

Point $P$

Answer

Point $S$

Answer

Point $Q$

Question 20

The table shows the relationship between $r$ and $s$, where s is the independent variable.

Which equation represents the relationship between $r$ and $s$?

Accepted Answer

$r=\frac{1}{6}s$

Answer

$r=s-\frac{5}{6}$

Answer

$s=\frac{1}{6}r$

Answer

$s=r-\frac{5}{6}$

Question 21

The dimensions of the rectangular prism shown are given in centimeters.
What is the volume of the rectangular prism in cubic centimeters?

Accepted Answer

16.8

Answer

8.4

Answer

24.4

Answer

14.8

Question 22

The weight of one serving of trail mix is $2.5$ ounces. How many servings are there in
$22.5$ ounces of trail mix?

Accepted Answer

$9.0$

Answer

$11.5$

Answer

$25.0$

Answer

$56.25$

Question 23

Regina writes the expression $y+9\cdot\frac{3}{4}$.

Which expression is equivalent to the one Regina writes?

Accepted Answer

$(9\cdot3\div 4)+y$

Answer

None of these

Answer

$9+y\cdot(3\div 4)$

Answer

$(y+9)(3\div 4)$

Question 24

Which situation could be represented by the equation $10.75 = 5.5n$?

Accepted Answer

Ricardo ran a total of $10.75$ miles.
He ran $5.5$ miles each hour.
What is $n$, the number of hours Ricardo ran?

Answer

Ricardo ran a total of $10.75$ miles on Monday.
He ran $5.5$ miles in the morning and the rest of the miles in the evening.
What is $n$, the number of miles Ricardo ran in the evening?

Answer

Ricardo ran $5.5$ miles.
He ran each mile in $10.75$ minutes.
What is $n$, the total number of minutes it took Ricardo to run $5.5$ miles?

Answer

Ricardo ran $10.75$ hours one week and $5.5$ hours the next week.
What is $n$, the total number of hours Ricardo ran during these weeks?

Question 25

The list shows the numbers of employees in the nine departments at a company.

$\qquad14, \,23, \,6, \,54,\, 30,\, 26,\, 17,\, 3,\, 26$

What is the range of the numbers of employees in these departments?

Accepted Answer

$51$

Answer

$18$

Answer

$26$

Answer

$23$

Question 26

The lengths of two line segments are shown.

Which statement is true about these three line segments?

Accepted Answer

These line segments cannot form a triangle, because the longest side of the triangle must be shorter than $4$ inches.

Answer

These line segments cannot form a triangle, because at least two sides of the triangle must be the same length.

Answer

These line segments can form a triangle, because the longest side of the triangle can be exactly $4$ inches long.

Answer

These line segments can form a triangle, because each side of the triangle can be a different length.

Question 27

The owner of a food cart sells an average of $120$ frozen treats per day during the summer.

Which graph best shows this relationship between the number of days and the number of frozen treats sold?

Accepted Answer

https://uploads.quizalize.com/90f2e2db-1b6a-4f61-bd4e-7be740a51fc0/question/1f29e4688f065d209f6c49be31d18d52a3760a62.png

Answer

https://uploads.quizalize.com/90f2e2db-1b6a-4f61-bd4e-7be740a51fc0/question/02e06602b90f1200e62f32d887496c5676bce20e.png

Answer

https://uploads.quizalize.com/90f2e2db-1b6a-4f61-bd4e-7be740a51fc0/question/3f71d9e7b78a58087136ba4a1083119deea6a6e0.png

Answer

https://uploads.quizalize.com/90f2e2db-1b6a-4f61-bd4e-7be740a51fc0/question/e15a20df5216973e2e08fa7b4337b6bd5e277a3f.png

Question 28

Each child in a group was asked to choose a single favorite type of cereal. The table shows the number of children who chose each type of cereal as a favorite.
Which statement is NOT supported by the data in the table?

Accepted Answer

Oatmeal is the favorite type of cereal for $15\%$ of the children.

Answer

Cold cereal is associated with the mode for the favorite type of cereal.

Answer

More than $5\%$ of the children chose “other” as the favorite type of cereal.

Answer

Grits is the favorite type of cereal for $20\%$ of the children.

Question 29

On Wednesday $72\%$ of the customers who bought gas at a gas station made additional purchases. There were $250$ customers who bought gas.
How many of these $250$ customers made additional purchases?

Accepted Answer

180

Answer

178

Answer

166

Answer

195

Question 30

Mari used a thermometer to record temperatures of $-3.4^\circ$ Celsius and $1.6^\circ$  Celsius.
Which temperature in degrees Celsius is less than both of the temperatures Mari recorded?

Accepted Answer

$-5.4^\circ\,	ext C$

Answer

$0^\circ\,	ext C$

Answer

$3.9^\circ\,	ext C$

Answer

$-2.6^\circ\,	ext C$

Question 31

The area of a rectangle is $45.5$ square inches. The base of the rectangle is $7$ inches.
What is the height of the rectangle in inches?

Accepted Answer

$	ext {6.5 in.}$

Answer

$	ext {318.5 in.}$

Answer

$	ext {38.5 in.}$

Answer

$	ext {15.75 in.}$

Question 32

Four points are graphed on the coordinate grid.
Which point is best represented by the ordered pair $(2, -5.5)$?

Accepted Answer

Point $W$

Answer

Point $R$

Answer

Point $S$

Answer

Point $V$

Question 33

Based on the information in the check register, what was the balance of Raúl’s checking account after the transaction on April 13 in dollars and cents?

Accepted Answer

535.25

Answer

594.5

Answer

484.5

Answer

480.25

Question 34

A grocery store clerk put only packages of flour tortillas and packages of corn tortillas on a shelf. The ratio of the number of packages of corn tortillas to the total number of packages on the shelf was $7$ to $16$.
Which number could be the number of packages of flour tortillas the clerk put on the shelf?

Accepted Answer

$18$

Answer

$32$

Answer

$23$

Answer

$14$

Question 35

Which expression is equivalent to $4(3 + 5) - 3 \cdot 9^2$ ?

Accepted Answer

$4(8)-3 \cdot 81$

Answer

$14  \cdot 81$

Answer

$12+20-54$

Answer

$17-(27)^2$

Question 36

What is the value of $\frac{4}{15}\div \frac{2}{3}$?

Accepted Answer

$\frac{2}{5}$

Answer

$\frac{5}{2}$

Answer

$\frac{14}{15}$

Answer

$\frac{8}{45}$

Question 37

Timothy has a set of plastic squares. The table shows the relationship between $A$, the area of each square in square centimeters, and $s$, the side length of each square in centimeters.
Which equation can be used to represent the relationship between $A$ and $s$ for these squares?

Accepted Answer

$A = s \cdot s$

Answer

$A =2+ s$

Answer

$A =s+ s$

Answer

$A = s$

Question 38

Riley received financial assistance to pay for his college education. After he graduates, he will have to pay back the amount of money he received plus any interest that accrues after graduation.
Which kind of financial assistance did Riley receive?

Accepted Answer

Student loan

Answer

Savings plan

Answer

Work-study

Answer

Scholarship

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