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1

The pressure in a vehicle's tire is 45 pounds per square inch. The tire develops a slow leak and begins losing pressure at a rate of 1.5 pounds per square inch per hour.

Which function can be used to find p, the pressure remaining in the tire after leaking for h hours?

Answer

A

$h = - 1.5 p + 45$
B

$p = - 45 h - 1.5$
C

$p = - 1.5 h = 45 h$
D

$p = - 1.5 h + 45$

2

A jet-ski rental service charges a fee of $75, plus an additional charge per hour of use to rent a jet-ski. Michael was charged a total of $177.00 to rent a jet-ski for 4 hours.

Based upon this information, what equation can be used to determine c the total amount charged for renting a jet-ski for h hours?

Answer

F

$c = 25.5 h + 75$
G

$c = 75 h + 177$
H

$c = 25.5 h + 177$
J

$c = 105.5 h + 75$

3

The diagram below shows how some of the subsets of the set of real numbers are related. The letters represent members of the sets. Marina wants to replace the letters with actual numbers. Which letter could be replaced wih the number ?

Rational numbers, U. W. Integers, R. T. Whole numbers, N. P. Irrational numbers. X. Y.

Answer

A

N
B

W
C

R
D

X

4

Victoria and Cedric are collecting stamps. Victoria began her collection with 35 stamps and Cedric began his collection with 10 stamps.

Victoria adds 2 stamps to her collection each week for w weeks.
Cedric adds 5 stamps to his collection each week for w weeks.

Which inequality best represents this situation when the number of stamps in Victoria's collection is greater than the number of stamps in Cedric's collection?

Answer

F

$35 + 2 w > 10 + 5 w$
G

$10 + 2 w > 40 w$
H

$35 + 2 w < 10 + 5 w$
J

$37 w > 15 w$

5

A line passes through the points $(- 2, 4)$ and $(2, 2)$ .

(negative 2, 4), (2, 2). X! Y!

What is the y-intercept?

Answer

6

The length of an atom was measured to be $1.9 \times 10^{- 7}$ meters. Which value in standard notation represents this length in meters?

Answer

F

0.0000019
G

1,900,000
H

190,000,000
J

0.00000019

7

Point Q is shown on the number line.

Which value is best represented by point Q?

Answer

A
B
C
D

8

The table shows the weight of four bags in kilograms.

the title of the table is weight of bags, the table has 2 columns and 4 rows, from left to right the heading reads bag, weight, kilograms, from left to right the first row reads bag Q, 1.6, square root of 15, the second row reads bag R, 5 and 3 over 4, the third row reads bag S, square root of 40 over 2, the fourth row reads bag T, 6.3%,

Which bag has the largest weight in kilograms?

Answer

F

Bag Q
G

Bag R
H

Bag S
J

Bag T

9

Which situation can be represented by the inequality shown?

$150 + 11 x < 36 x$

Answer

A

Window Washer A charges an initial fee of $150 plus $11 per window. Window Washer B charges $36 per window. For what number of windows, x, will Window Washer A cost less than Window Washer B?
B

Fence Builder A charges $161 per foot to build a fence. Fence builder B charges $36 per foot to build a fence. For what number of feet of fence, x, will Fence Builder A charge less than Fence Builder B?
C

Customer A has $150 in her bank account and adds $11 per week. Customer B has no money in his account and adds $36 per week. For which number of weeks, x, will Customer A have more money in the account than Customer B?
D

Lawn Mower A charges $150 plus $11 per acre. Lawn Mower B charges $36 per acre. For what number of acres, x, will Lawn Mower A charge more than Lawn Mower B?

10

Which values from the list are less than $\frac{π}{4}$ ?

$\sqrt{π}, - 5 \frac{2}{3}, 0.37, \frac{\sqrt{4}}{5}$

Select THREE correct answers.

Answer

F

$\sqrt{π}$
G

$- 5 \frac{2}{3}$
H

$0.37$
J

$\frac{\sqrt{4}}{5}$

11

Which Venn diagram correctly represents the relationship between rational numbers, irrational numbers, integers, and whole numbers?

Answer

A

, because all irrational numbers are integers.
B

, because all whole numbers are irrational numbers.
C

, because all integers are rational numbers.
D

, because all integers are whole numbers.

12

A number is shown in scientific notation.

What is the equivalent value of this number in standard notation?

Answer

13

Which list shows these real numbers in order from greatest to least?

the square root of 10, negative 0.25, 26 over 9, pie over 2, negative 1 over 2

Answer

A
B
C
D

14

The table represents the linear relationship between the number of shirts Kaitlyn sells, $x$ and the amount of money she earns, $y$ .

Shirts Sold

Shirts Sold, x	4	7	10	12	25
Amount Earned, y	$34.20	$59.85	$85.50	$102.60	$213.75

Based on the table, how much money did Kaitlyn earn per shirt?

Answer

F

$0.12 per shirt
G

$30.20 per shirt
H

$8.55 per shirt
J

$9.75 per shirt

15

Which situation can be represented by this equation?

$15 x = 20 + 10 x$

Answer

A

Leo charges $15 per hour of yardwork. Ismael charges $30 per hour of yardwork. What is x, the number of hours of yardwork Leo and Ismael must do to earn the same amount of money?
B

Leo charges $15 per hour of yardwork. Ismael charges a drive up fee of $10 plus an additional $20 per hour of yardwork. What is x, the number of hours of yardwork Leo and Ismael must do to earn the same amount of money?
C

Leo charges a drive up fee of $5 plus an additional $10 per hour of yardwork. Ismael charges $30 per hour of yardwork. What is x, the number of hours of yardwork Leo and Ismael must do to earn the same amount of money?
D

Leo charges $15 per hour of yardwork. Ismael charges a drive up fee of $20 plus an additional $10 per hour of yardwork. What is x, the number of hours of yardwork Leo and Ismael must do to earn the same amount of money?

16

A linear function is represented on the coordinate grid.

the graph is labeled x, y,

Which of the statements below are true of the graph of this function?

Select TWO correct answers.

Answer

F

Slope = $\frac{1}{4}$
G

y-intercept = $7$
H

Slope = $- \frac{2}{7}$
J

y-intercept = $- 2$

17

The points on the number line represent the values of different numbers.

W, X, Y, Z. 5, 6, 7, 8, 9.

Which point best represents the value of ?

Answer

A

Point W
B

Point X
C

Point Y
D

Point Z

18

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

$\sqrt{28}, - 5.44, 29 \ %, - \frac{23}{4}$

Answer

F

$- 5.44, - \frac{23}{4}, 29 \ %, \sqrt{28}$
G

$\sqrt{28}, 29 \ %, - \frac{23}{4}, - 5.44$
H

$- \frac{23}{4}, - 5.44, 29 \ %, \sqrt{28}$
J

$29 \ %, - \frac{23}{4}, \sqrt{28}, - 5.44$

19

What is the solution to the equation?

Answer

A
B
C
D

20

What is the solution of the equation below?

Answer

21

Triangle GHJ and triangle NOP are similar right triangles.

from top to bottom and left to right the graph is labeled G, J, H, N, P, O,

Which proportion can be used to show that the slope of $\bar{J G}$ is equal to the slope of $\bar{P N}$ ?

Answer

A

$\frac{\bar{G H}}{\bar{J H}} = \frac{\bar{N O}}{\bar{P O}}$
B

$\frac{\bar{P O}}{\bar{J H}} = \frac{\bar{J G}}{\bar{P N}}$
C

$\frac{\bar{J H}}{\bar{G H}} = \frac{\bar{N O}}{\bar{P O}}$
D

$\frac{\bar{G J}}{\bar{N P}} = \frac{\bar{P O}}{\bar{J H}}$

22

Raymond and Lauren are saving money for a summer trip.

Raymond began with $80 and is saving $10 each week.
Lauren began with $48 and is saving $12 each week.

How many weeks will it take for Raymond and Lauren to have the same total amount of money saved?

Answer

F

16 weeks
G

240 weeks
H

128 weeks
J

64 weeks

23

What value of x makes the equation true?

Answer

24

Eddie compared prices of two auto-rental companies for the use of a mid-size vehicle for one week. Right Price Auto charged a flat fee of $386 plus 20¢ per mile driven. EconoCar charged a flat fee of $344 plus 35¢ per mile driven.

Which equation should Eddie use to determine the distance in miles, m, that would make the total charges of both auto-rental companies equal?

Answer

F

386 + 20m = 344 + 35m
G

344 + 20m = 386 + 35m
H

386 + .20m = 344 + .35m
J

344 + .20m = 386 + .35m

25

Triangle QRS is shown on the coordinate grid. The coordinates of each vertex of the triangle are integers.

clockwise from the top the graph is labeled Q, S, R,

What is the slope of $\bar{Q S}$ ?

Answer

A

$- 4$
B

$- \frac{1}{4}$
C

$4$
D

$\frac{1}{4}$

26

Which value best represents the value of x in the equation shown?

Answer

F

x = 11.9
G

x = 12.8
H

x = 13.2
J

x = 82

27

The weight of a blue whale was recorded to be 278,000 pounds. How is this weight in pounds written in scientific notation?

Answer

A

$27.8 \times 10^{3}$
B

$2.78 \times 10^{5}$
C

$27.8 \times 10^{- 3}$
D

$2.78 \times 10^{- 3}$

28

The graph of a linear function passes through the points $(- 6, - 7)$ and $(2, 5)$ .

The graph is labeled, Y, X,

Which equation represents the function?

Answer

F

$y = \frac{3}{2} x + 2$
G

$y = 3 x + 2$
H

$y = \frac{2}{3} x + 3$
J

$y = 2 x + 7$

29

The model represents an equation.

negative x, negative x, negative x, negative x, negative x, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, =, x, x, x, negative 1, negative 1, negative 1, negative 1, negative 1, negative 1, negative 1, negative 1.

What value of x makes the modeled equation true?

Answer

A
B
C
D

30

The points of a function are recorded in the table.

the table has 2 columns and 5 rows, from left to right the heading reads X, Y, from left to right the first row reads negative 6, negative 1, the second row reads negative 3, negative 2, the third row reads 0, negative 3, the fourth row reads 3, negative 4, the fifth row reads 6, negative 5,

Which equation best represents the data in the table?

Answer

F

$y = 3 x + 3$
G

$y = - \frac{1}{3} x - 3$
H

$y = \frac{1}{3} x - 3$
J

$y = - 3 x + 3$

{{student_name}} > 21-22 Q1-SUM G8 Mathematics

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