Free Printable Fall Benchmark Review

1.

What is $3^2$ ?

a)

9

b)

16

c)

25

2.

What is $8^2$ ?

a)

36

b)

49

c)

64

3.

What is $\sqrt[]{196}$ ?

a)

14

b)

13

c)

12

4.

What is $\sqrt[]{4}$ ?

a)

1

b)

2

c)

3

5.

What is the area of a square with a side of 7?

a)

14

b)

28

c)

49

d)

64

6.

In between what two integers is the square root of 44?

a)

3 and 4

b)

4 and 5

c)

5 and 6

d)

6 and 7

7.

The area of a square is 49 cm². What is the length of one side?

a)

5 cm

b)

24.5 cm

c)

7 cm

d)

11 cm

8.

Square root is the inverse of ____________.

a)

Cube Roots

b)

Squaring

c)

Multiplication

d)

Absolute Value

9.

What is the area of a square with a side of 12?

a)

144

b)

24

c)

48

d)

6

10.

The area of a square is 117 square meters. Which best represents the length of a side of the square?

a)

10.8 m

b)

11 m

c)

10 m

d)

11.2 m

11.

The area of a square is 36 cm². What is the length of one side?

a)

6 cm

b)

24 cm

c)

9 cm

d)

9 cm

12.

Ms. Flores paints a square-shaped section of a fence with an area of 75 square feet. What is the approximate side length of the section she paints?

a)

8.1 ft

b)

8.3 ft

c)

8.6 ft

d)

8.9 ft

13.

The area of a square is 81 square feet. What is the approximate side length?

a)

40 ft

b)

8 ft

c)

10 ft

d)

9 ft

14.

The area of a square is 9 square feet. What is the approximate side length?

a)

3 ft

b)

8 ft

c)

4.5 ft

d)

2 ft

15.

Which of the following is correct scientific notation?

a)

20.35 x 10⁴

b)

.2035 x 10⁴

c)

2035⁴

d)

2.035 x10⁴

16.

Which one of these is in scientific notation?

a)

8.987000

b)

8.98 x 10⁶

c)

80.987 x 10

d)

8.98⁶

17.

Which one of these is in scientific notation?

a)

8.987000

b)

8.98 x 10⁶

c)

80.987 x 10

d)

8.98⁶

18.

0.9 x 10^-3 is in scientific notation.

a)

True

b)

False

19.

2×10⁴ is in scientific notation.

a)

True

b)

False

20.

Which of these are NOT in scientific notation?

a)

1.2 x 10³

b)

5.3 x 10⁹

c)

2.0 x 10⁰

d)

10 x 10²

21.

Which of these are in scientific notation?

a)

3.25 x 10⁰

b)

3.25 x 8²

c)

3.25 x 10^3/4

d)

32.5 x 10³

22.

Which of these are NOT in scientific notation?

a)

1.0 x 10^-3

b)

2.3 x 10⁰

c)

9.9999 x 10^-99

d)

8.22 x 10^1.01

23.

Determine whether each of the following numbers is written in scientific notation

a)

42.6 x 10⁶

b)

0.093 x 10^-2

c)

4.6 x 10⁵

24.

Which number is NOT written in scientific notation?

a)

3 × 10⁻⁸

b)

6.7 × 10³

c)

8.7 × 10⁻⁵

d)

25.67 × 10⁻²

25.

Which number is written in scientific notation?

a)

7.8 × 10⁻⁵

b)

3.4 × 100²

c)

0.84 × 10⁶

d)

−52 × 10⁻¹²

26.

Why is the following number not written in scientific notation?
1.51 × 18³

a)

The first factor is not less than 10.

b)

The second factor is not a power of 10.

c)

The first factor is not greater than or equal to 1.

d)

The number is not written as a product of 2 factors.

27.

Is the number 4.74 × 142 in scientific notation?

a)

No, it is not in scientific notation. The first factor is not No, it is not in scientific notation. The first factor is not less than 10.

b)

No, it is not in scientific notation. The first factor is not greater than or equal to 1.

c)

No, it is not in scientific notation. The second factor is not a power of 10.

d)

The number is in scientific notation.

28.

Fred's math teacher displayed
❑ A. 8.87 × 10⁸ ❑ B. 4.75 × 10⁸
❑ C. 17 ❑ D. 4.75
Fred’s math teacher asks, “Which of the following numbers are written in scientific notation?” Fred says, “4.75 × 10⁸ is written in scientific notation.”
What error did Fred make?

a)

The number 17 is also written in scientific notation

b)

The number 8.87 × 10⁸ is also written in scientific notation.

c)

The number 4.75 × 10⁸ is not written in scientific notation.

d)

The number 4.75 is also written in scientific notation.

29.

The table shows the diagonal lengths of TV screens at a store.

Which TV screen has the smallest diagonal length in feet?

a)

W

b)

X

c)

Y

d)

Z

30.

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

$\sqrt[]{38}$ , -6.35, 63%, $-\frac{19}{3}$

a)

-6.35, $-\frac{19}{3}$ , 63%, $\sqrt[]{38}$

b)

63%, $\sqrt[]{38}$ , $-\frac{19}{3}$ , -6.35

c)

-6.35, $-\frac{19}{3}$ , $\sqrt[]{38}$ , 63%

d)

$-\frac{19}{3}$ , -6.35, 63%, $\sqrt[]{38}$

31.

The table shows the completion times of four runners in a race.

Which list shows the runners in order by their completion times from fastest to slowest?

a)

Patty, Joe, Steve, Ellen

b)

Ellen, Joe, Steve, Patty

c)

Ellen, Steve, Joe, Patty

d)

Patty, Steve, Joe, Ellen

32.

The diagonal lengths of three rectangles are shown. The rectangles are not drawn to scale.

Which list shows the rectangles in order by their diagonal lengths from shortest to longest?

a)

Rectangle T, Rectangle S, Rectangle P

b)

Rectangle T, Rectangle P, Rectangle S

c)

Rectangle S, Rectangle T, Rectangle P

d)

Rectangle S, Rectangle P, Rectangle T

33.

Four plumbers estimated the length of the radius of a cylindrical pipe. The estimates made by the plumbers are listed.

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

a)

$\frac{9}{100}$ , $\frac{\pi}{24}$ , $\frac{3}{25}$ , $\frac{\sqrt[]{3}}{11}$

b)

$\frac{\sqrt[]{3}}{11}$ , $\frac{\pi}{24}$ , $\frac{3}{25}$ , $\frac{9}{100}$

c)

$\frac{9}{100}$ , $\frac{3}{25}$ , $\frac{\pi}{24}$ , $\frac{\sqrt[]{3}}{11}$

d)

$\frac{\sqrt[]{3}}{11}$ , $\frac{3}{25}$ , $\frac{\pi}{24}$ , $\frac{9}{100}$

34.

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

$\frac{37}{6}$ , $-5.\overline{17}$ , $\sqrt[]{33}$ , $-\frac{26}{5}$

a)

$-\frac{26}{5}$ , $-5.\overline{17}$ , $\frac{37}{6}$ , $\sqrt[]{33}$

b)

$-5.\overline{17}$ , $-\frac{26}{5}$ , $\frac{37}{6}$ , $\sqrt[]{33}$

c)

$-\frac{26}{5}$ , $-5.\overline{17}$ , $\sqrt[]{33}$ , $\frac{37}{6}$

d)

$-5.\overline{17}$ , $-\frac{26}{5}$ , $\sqrt[]{33}$ , $\frac{37}{6}$

35.

Two numbers are shown on the number line.

Which value is NOT located between these two numbers on the number line?

a)

$\pi$

b)

$\sqrt[]{9}$

c)

$\frac{\pi}{9}$

d)

$\frac{\pi^2}{9}$

36.

An inequality is shown.

$\frac{1}{8}<x<18\%$

Which value of x makes the inequality true?

a)

$\frac{1}{5}$

b)

1.6

c)

0.09

d)

$\sqrt[]{0.02}$

37.

Four students are trying to raise the same amount of money for a class trip. The table below shows how much of each student's goal has been met.

Which list shows the numbers in the table in order from least to greatest?

a)

0.7, 65%, $\frac{5}{8}$ , $\frac{2}{3}$

b)

0.7, $\frac{5}{8}$ , 65%, $\frac{2}{3}$

c)

$\frac{5}{8}$ , 65%, $\frac{2}{3}$ , 0.7

d)

$\frac{5}{8}$ , $\frac{2}{3}$ , 65%, 0.7

38.

Three groups of students used different methods to estimate the diagonal length of a patio in feet. Their results were:

$4\ \sqrt[]{13}ft$ , $14\frac{2}{5}ft$ , 14.33 ft

Which list shows these diagonal lengths in order from greatest to least?

a)

14.33 ft, $14\frac{2}{5}ft$ , $4\ \sqrt[]{13}ft$

b)

14.33 ft, $4\ \sqrt[]{13}ft$ , $14\frac{2}{5}ft$

c)

$14\frac{2}{5}ft$ , 14.33 ft, $4\ \sqrt[]{13}ft$

d)

$4\ \sqrt[]{13}ft$ , $14\frac{2}{5}ft$ , 14.33 ft

39.

A store has 120 customers in 6 hours. What is the unit rate in customers per hour?

a)

16 customers per hour

b)

12 customers per hour

c)

20 customers per hour

d)

15 customers per hour

40.

6 movie tickets cost $30.00. What is the cost per ticket (unit rate)?

What will you do to find the unit rate?

a)

multiply by 6 to get $180 per ticket

b)

divide by 6 to get $5 per ticket

c)

multiply by 30 to get $900 per ticket

d)

divide by 30 to get $1 per ticket

41.

How much money does Rico earn each hour of doing chores?

a)

2

b)

4

c)

6

d)

8

42.

How many toys can fit into ONE carton?

a)

3

b)

15

c)

5

d)

12

43.

You spend $40 on 5 pounds of concrete. What is the unit rate in dollars per pound?

a)

$8 per pound

b)

$5 per pound

c)

$35 per pound

d)

0.125 pounds per dollar

44.

If Antonia can type 408 words in 4 minutes, how many words can she type per minute?

a)

408 words per minute

b)

100 words per minute

c)

400 words per minute

d)

102 words per minute

45.

If Kiontre reads 100 pages in 5 days, how many pages does he read in 1 day?

a)

10

b)

30

c)

20

d)

40

46.

If there are 45 seats in 9 rows, how many seats are there in 1 row?

a)

5

b)

8

c)

9

d)

2

47.

You're throwing a party and you order 15 pizza for your guests. Your total came to $97.50. What was your unit cost per pizza?

a)

$4.95 per pizza

b)

$5.75 per pizza

c)

$6.50 per pizza

d)

$7.25 per pizza

48.

Which animal's heart beats at a rate of 65 beats per minute?

a)

Pig (225 Heartbeats in 3 minutes.)

b)

Horse (180 heartbeats in 4 minutes.)

c)

Cow (520 heartbeats in 8 minutes.)

d)

Dog (540 heartbeats in 6 minutes.)

49.

Kanye bought 8 lemons for $6. Each lemon was the same price. What was the cost of 1 lemon?

(a)

50.

Four pounds of bananas cost $6. What is the cost per pound of bananas? (What is the unit rate?)

a)

$24 per pound

b)

$1.50 per pound

c)

$1 per pound

d)

$6 per pound

51.

Which operation do you use to solve for unit rate?

a)

Multiplication

b)

Division

c)

Addition

d)

Subtraction

52.

Juju bought 5 books for $7. How much does one book cost?

a)

$2

b)

50 cents

c)

$1.40

d)

85 cents

53.

Tony bought 3 cans for $2.55. How much does one can of soda cost?

a)

$1

b)

85 cents

c)

35 cents

d)

$1.10

54.

a)

F

b)

G

c)

H

d)

J

55.

a)

A

b)

B

c)

C

d)

D

56.

a)

F

b)

G

c)

H

d)

J

57.

a)

A

b)

B

c)

C

d)

D

58.

a)

115

b)

-.6

c)

-115

d)

.6

59.

a)

F

b)

G

c)

H

d)

J

60.

a)

A

b)

B

c)

C

d)

D

61.

a)

F

b)

G

c)

H

d)

J

62.

Find the unit rate for this graph.

a)

40

b)

2

c)

20

d)

1

63.

How much money does Rico earn each hour of doing chores?

a)

2

b)

4

c)

6

d)

8

64.

Using the table and the graph, identify the y intercept.

a)

(0,2)

b)

(2,6)

c)

(4,10)

d)

(6,14)

65.

What is the y intercept of this graph?

a)

(6,2)

b)

(-2,0)

c)

(2,6)

d)

(0,3)

66.

Identify the y intercept of the BLUE line.

a)

-1

b)

1/2

c)

5

d)

2

67.

Which variable is used to represent the y intercept in an equation?

a)

y

b)

m

c)

x

d)

b

68.

What does the y intercept mean on this graph?

a)

It took the hiker 18 minutes to reach the bottom.

b)

It took the hiker 360 minutes to reach the bottom.

c)

The hiker started out at a height of 360 feet.

d)

The hiker started out at a height of 18 feet.

69.

Given y = mx+b, what does the y intercept mean in this scenario?

a)

Cost per mile

b)

Total miles driven

c)

Total cost

d)

Initial car rental fee

70.

Is the equation y=7x+5 proportional or non-proportional?

a)

proportional

b)

non-proportional

71.

Which equation is proportional?

a)

y=5x+1

b)

y=4x-3

c)

y=7x

d)

y=2x+7

72.

In order for a graph to be proportional it has to___?

a)

pass over the y-axis

b)

pass over the x-axis

c)

pass through the origin

73.

Joe has a square tablecloth with a total area of 48 square feet. Which measurement is closest to the length of each side of the tablecloth in feet?

a)

9.8 ft

b)

5.0 ft

c)

12.0 ft

d)

6.9 ft

74.

What is the solution?

a)

(1, -1)

b)

(-1, 1)

c)

(0, -2)

d)

(0, 1)

75.

Which is the better buy? A 12 pack of Sprite for $3.50 or a 6 pack of Sprite for $1.80? (7.4B)

a)

12 Pack of Sprite

b)

6 pack of Sprite

c)

They are the same

d)

Neither

76.

Hector paid $105 for 6 tickets to a hockey game. Each ticket cost the same amount.

What was the cost of each ticket in dollars and cents?

Record your answer. Be sure to use the correct place value. (7.4B)

(a)

77.

Tareq pays $22.10 for 2.6 pounds of salmon. What is the price per pound of the salmon? (7.4B)

a)

$57.46

b)

$8.50

c)

$19.50

d)

$24.70

78.

José paid $47.00 for 4 movie tickets. Each ticket cost the same amount. What was the cost of each movie ticket in dollars and cents? (7.4B)

(a)

79.

Imani compared the number of fluid ounces per bottle of sunscreen to the cost of four different brands of sunscreen. The information she gathered is shown in the table. Based on the data in the table, which brand of sunscreen has the greatest cost per fluid ounce? (7.4B)

a)

Brand W

b)

Brand X

c)

Brand Y

d)

Brand Z

80.

Marlon's earning varies directly as the number of hours he works changes. If he earns $210 working 24 hours, how much money does he earn per hour?

Record your answer and fill in the bubbles on your answer document. Be sure to use the correct place value. (8.5E)

(a)

81.

Gary's salary varies directly as the number of days he works. If his salary for five days is $42.00, how much would it be for 12 days?

Record your answer and fill in the bubbles on your answer document. Be sure to use the correct place value. (8.5E)

(a)

82.

The distance a truck travels varies directly with the number of hours driven. A truck travels 268 miles in 4 hours. If the truck continues to travel at this same rate, how long will it take the truck to drive 938 miles? (8.5E)

a)

14 hours

b)

10 hours

c)

12 hours

d)

8 hours

83.

The distance a jet travels varies directly with the number of hours flown. A jet travels 1,350 miles in three hours. If the jet continues to travel at this same rate, how far will it fly in seven hours? (8.5E)

a)

1450 miles

b)

1850 miles

c)

3050 miles

d)

3150 miles

84.

A package of 5 erasers costs $0.39. At this rate, how much would 60 erasers cost, in dollars and cents? (8.5E)

(a)

85.

The amount of water an electric dishwasher uses to wash dishes varies directly with the number of loads of dishes. The dishwasher uses 32 gallons of water to wash 4 loads of dishes.How many gallons of water will the dishwasher use to wash 10 loads of dishes? (8.5E)

(a)

86.

In a direct proportion where y is directly proportional to x, if the constant of x proportionally decreases; graphically, what does the slope do? (8.5E)

a)

increases

b)

decreases

c)

remains unchanged

d)

becomes 0

87.

If y is directly proportional to x and y = 6 when x = 2, what is y when x = 1? (8.5E)

a)

6

b)

2

c)

3

d)

1/3

88.

Is this an example of a proportional or non-proportional linear situation?

a)

Proportional

b)

Non-Proportional

89.

Which best describes this equation?
y= 3.75x + 2

a)

Proportional

b)

Non-proportional

90.

Which best describes the equation?
y = 75x

a)

Proportional

b)

Nonproportional

91.

Does this graph represent a proportional relationship?

a)

Yes, because the line is pretty.

b)

No, because the line goes through the origin.

c)

Yes because the line goes through the origin.

d)

No, because the graph is non-proportional.

92.

Does this graph represent a proportional relationship?

a)

No, because it doesn't pass through the origin.

b)

Yes, because it doesn't pass through the origin.

c)

Yes, because it intersects the y axis.

d)

No, because it intersects the x axis.

93.

Which graph is non-proportional?

a)

A

b)

B

c)

C

d)

D

94.

Proportional or Non-Proportional:
The video game rental fee is $15 plus $3 per day.

a)

Proportional

b)

Non-Proportional

95.

Shawn makes $7.50 an hour to babysit for her next door neighbors. Describe the graph of this relationship.

a)

Proportional

b)

Non-proportional

96.

Proportional or Non-Proportional?

a)

Proportional

b)

Non-Proportional

97.

Proportional or Non-Proportional?

a)

Proportional

b)

Non-Proportional

98.

Proportional or Non-Proportional?

a)

Proportional

b)

Non-Proportional

99.

Proportional or Non-Proportional?

a)

Proportional

b)

Non-Proportional

100.

What is the y-intercept for the following graph and is it proportional or non-proportional?

a)

Proportional, b=0

b)

Proportional, m=0

c)

Non-proportional, b=1

d)

Non-proportional, b=0

101.

What is the y-intercept for the following graph and is it proportional or non-proportional?

a)

Proportional, b=1

b)

Proportional, b=-2

c)

Non-proportional, m= -1

d)

Non-proportional, b=1

102.

Which representation does not show y as a function of x?

a)

A

b)

B

c)

C

d)

D

103.

Which set of ordered pairs is a function?

a)

b)

c)

d)

104.

Which mapping represents a function

a)

b)

c)

d)

105.

Which table of ordered pairs represents a function?

a)

b)

c)

d)

106.

Which of the following sets of ordered pairs does not represent a function?

a)

b)

c)

d)

107.

Look at the table.

Which number could fill the two empty cells to make the table a function

a)

0

b)

3

c)

-2

d)

5

108.

Which of the following sets of ordered pairs represents a function?

a)

b)

c)

d)

109.

Which of the following is a function?

a)

A

b)

B

c)

C

d)

D

110.

Which mapping represents a function?

a)

b)

c)

d)

111.

Which of the following is NOT a function?

a)

A

b)

B

c)

C

d)

D

112.

The table represents a function.

Which of the following numbers could fill the empty cell in the table and allow it to remain a function?

a)

-8

b)

-2

c)

-5

d)

8

113.

Look at the graph.

Which of the following is true for the graph?

a)

The graph is a function

b)

The graph is not a function

c)

The graph shows a proportional relationship

d)

None of the above

114.

A set of ordered pairs is shown in the picture.

Which value of x would make this relationship a function?

a)

4

b)

21

c)

7

d)

5

115.

Which graph does not represent y as a function of x?

a)

b)

c)

d)

116.

a)

A

b)

B

c)

C

d)

D

117.

Which graph represents y as a function of x?

a)

F

b)

G

c)

H

d)

J

118.

Which set of ordered pairs represents y as a function of x?

a)

A

b)

B

c)

C

d)

D

119.

Which set of ordered pairs represents y as a function of x?

a)

A

b)

B

c)

C

d)

D

120.

Which graph does NOT represent y as a function of x?

a)

A

b)

B

c)

C

d)

D

121.

Which representation shows y as a function of x?

a)

A

b)

B

c)

c

d)

D

122.

Is this mapping a function or not a function?

a)

Function

b)

Not a Function

123.

Is this set of ordered pairs a function or not a function?

a)

Function

b)

Not a Function

124.

Is this set of ordered pairs a function or not a function?

a)

Function

b)

Not a Function

125.

.

a)

Function

b)

Not a Function

126.

Is this a function or not a function?

a)

Function

b)

Not a Function

127.

Is the relation a function? Why.

a)

Yes, because the x-value 11 has two y-values pair with it.

b)

Yes, because each y-value has only one x-value paired with it.

c)

No, because the x-value 11 has two y-values pair with it.

d)

No, because each y-value has only one x-value paired with it.

128.

Is this graph a function or not a function?

a)

Function

b)

Not a Function

129.

Is this table a function or not a function?

a)

Function

b)

Not a Function

130.

Which of the following is a function?

a)

b)

c)

d)

131.

Which of the following is a function?

a)

A

b)

B

c)

C

d)

D

132.

Is the following a function?

a)

Yes, this is a function.

b)

No, it's not a function.

c)

Can't be determined with this information.

133.

Which is a function?

a)

W

b)

X

c)

Y

d)

Z

134.

a)

Function

b)

Not a Function

135.

Lee charges $3 for a basket and $2.50 for each pound of fruit picked at the orchard. Write an equation in y = mx + b form for the total cost of x pounds of fruit from the orchard.

a)

y = 3x + 2.5

b)

y = 2.50x + 3

c)

y = 2.50x

d)

y = 3x + 2.50

136.

1. Joe asked for prices on two different gym memberships.

· One gym charges an initial fee of $30 and a monthly fee of $10.

· The other gym charges a monthly fee of $12.

Which equation could be used to find out how many months, m, it would take for both memberships to cost the same?

a)

A. 12m + 30 = 10m + 30

b)

B. 10m + 30 = 12m

c)

C. 10m = 12m

d)

12m + 30 = 10m

137.

2. In Ms. Johnson’s class a student will get 3 points for having their name on their paper and 4 points for each question that is correct. In Mr. Gallegos class, a student will get 7 points for having their name on their paper and 2 points for each question correct. Which inequality could be used to determine x, the number of questions that would give you a higher grade in Ms. Johnson’s class?

a)

$4x\ +\ 3\ \ge\ 7\ +\ 2x$

b)

$4x\ +\ 3\ >\ 7\ +\ 2x$

c)

$4x\ +\ 3\ \le\ 7\ +\ 2x$

d)

$4x\ +\ 3\ \ <\ 7\ +\ 2x$

138.

Ace Plumbing Service charges $35 per hour plus a $25 travel charge for a service call. Good Guys Plumbing Repair charges $40 per hour for a service call with no travel charge. How long must a service call be for the two companies to charge the same amount?

a)

5

b)

125

c)

3

d)

75

139.

Sam started with 18 baseball cards and gave away x pieces. Alex started with 22 baseballs and gave away twice as many baseball cards as Sam.

How many baseball cards did Same give away if they had the same number of baseball cards left?

a)

13

b)

1

c)

4

d)

2

140.

What is the value of x that makes this equation true?

4x+5=x+14

a)

2

b)

9

c)

3

d)

4

141.

What value of x makes this equation true?

0.5x-2=0.2x+7

a)

3

b)

30

c)

16

d)

10

142.

What value of x makes the equation true?

\frac{x}{6}-4=\frac{x}{9}-2

a)

54

b)

6

c)

36

d)

-2

143.

Which statement best represents the inequality,

4x – 10 > 6x – 20?

a)

A. Yesenia spent $6 for each nail polish, plus $20 on a pair of sandals. The next day she spent $4 for each nail polish, plus $10 on a pair of socks. Yesenia spent more money on the first day after buying x nail polishes.

b)

B. The seed of a plant A is buried 10 centimeters underground and grows at a rate of 4 centimeters per week. The seed of plant B is buried 20 centimeters underground and grows at a rate of 6 centimeters per week. Plant A will be shorter than plant B after x weeks.

c)

C. A waiter makes $4 in tips for every table he helps and is required to give $10 to the hostess at the end of his shift. A waitress at a different restaurant earns $6 in tips for every table she helps and is required to give the hostess $20 at the end of her shift. The waiter will make more money after x tables are helped.

d)

D. None of the above.

144.

The side lengths of a square are shown below. What is the value, if these two side lengths are congruent?

4 lines

145.

Which of the following best represents the equation,

3x + 6 = 1.5x + 12?

a)

Bucket A is 6 liters full of liquid and is being emptied at a rate of 3 liters per minute. Bucket B is 12 liters full of liquid and is being emptied at a rate of 1.5 liters per minute. Both buckets will be empty after x minutes.

b)

Bucket A is 6 liters full of liquid and is being emptied at a rate of 3 liters per minute. Bucket B is 12 liters full of liquid and is being emptied at a rate of 1.5 liters per minute. Bucket A will be emptied before Bucket B, after x minutes.

c)

Bucket A is 6 liters full of liquid and is being filled at a rate of 3 liters per minute. Bucket B is 12 liters full of liquid and is being filled at a rate of 1.5 liters per minute. Both buckets will have the same amount of liquid after x minutes.

d)

Bucket A is 6 liters full of liquid and is being filled at a rate of 3 liters per minute. Bucket B is 12 liters full of liquid and is being filled at a rate of 1.5 liters per minute. Bucket A will have less liquid after x minutes.

146.

What value of x makes the equation true?

0.3x+10=0.8x-20

a)

20

b)

40

c)

15

d)

60

147.

Swimming Pool I contains 50.6 gallons of water. Ellie will begin filling Swimming Pool I at a rate of 2.2 gallons per minute.

Swimming Pool II contains 150.6 gallons of water. Taylor will begin draining Swimming Pool II at a rate of 7.8 gallons per minute.

After how many minutes will both swimming pools contain the same amount of water?

a)

10 min

b)

17 min

c)

20 min

d)

100 min

148.

Solve. 2x + 10 = 16

a)

6

b)

3

c)

26

d)

13

149.

Solve. -3x - 12 = 15

a)

9

b)

-1

c)

27

d)

-9

150.

Solve. 4x - 8 = -40

a)

8

b)

12

c)

-12

d)

-8

151.

33 = 4a - 7

a)

a=-10

b)

a=10

c)

a=4.5

152.

15 = 2a + 7

a)

2

b)

4

c)

12

d)

14

153.

-12 = 24 + 4b

a)

3

b)

0

c)

-9

d)

9

154.

7k - 14 = 42

a)

7

b)

-8

c)

0

d)

8

155.

9=4g+13

a)

1

b)

-1

c)

0

d)

3

156.

Renting a kayak costs $10 per hour. Renting a canoe costs $5 per hour plus a $7 fee. Which equation could be used to determine h, the number of hours for which they each cost the same?

a)

10h=5h+7

b)

10h=5+7h

c)

10h+5h=7

d)

5h=10h+7

157.

Julie started with 20 pieces of gum and gave away x pieces. Conrad started with 35 pieces of gum and gave away twice as many pieces as Julie did. How many pieces of gum did Julie give away if they had the same number of pieces of gum left?

a)

18

b)

5

c)

15

d)

8

158.

What value of x makes this equation true?

a)

3

b)

-9

c)

-1

d)

27

159.

A rectangle’s perimeter and its area have the same numerical value. The width of the rectangle is 3 units. What is the length of the rectangle in units?

a)

6

b)

2

c)

7

d)

12

160.

What is the solution to this equation?

2x + 3 = x − 4

a)

-3

b)

0

c)

-7

d)

7

161.

The measures of two angles are (5x + 24)° and (9x - 17)°. What is the value of x if these angles are congruent?

a)

1.75

b)

13.2

c)

0.5

d)

10.25

162.

Solve for x in the equation below.

6(x + 3) = 3(x + 10)

a)

x=6

b)

x=4

c)

x=9

d)

x=8

163.

a)

1.3

b)

-1.3

c)

-0.75

d)

0.75

164.

Two companies are shipping a box. Company A charges $7.25 for shipping and $0.20 for each pound. Company B charges $5.15 for shipping and $0.30 for each pound. How many pounds, p, will it take for Company A and Company B to cost the same?

a)

0.5

b)

7.25

c)

5.15

d)

21

165.

Two expressions are shown below:

Expression 1: 0.25x - 12

Expression 2: 18 - 0.55x

For which value of x will the two expressions have the same value?

a)

-100

b)

-20

c)

7.5

d)

37.5

166.

Solve for x:
5x - 14 = 8x + 4

a)

x = 6

b)

x = -6

c)

x = -18/13

d)

x = 10/3

167.

Solve for f:
f - 4 = 6f + 26

a)

f = -5

b)

f = 5

c)

f = 6

d)

f = -6

168.

What is the first step to solve this equation:
11 - 3x = 44

a)

Add 3 to both sides

b)

Subtract 11 from both sides

c)

Add 11 to both sides

d)

Divide 3 on both sides.

169.

Solve: 5x - 14 = 8x + 4

a)

6

b)

-6

c)

-18/13

d)

10/3

170.

What is v?
-15v-40 = 23-8v

a)

v = 9

b)

v = -7

c)

v = -9

171.

8w - 8 = - 4x + 16

a)

8

b)

16

c)

24

d)

2

172.

14p - 8 = 22 + 20p

a)

-5

b)

5

c)

30

d)

-30

173.

The goal of solving a one, two, or multi-step equations is to:

a)

Find the constant

b)

Find the coefficient

c)

Find the value of the variable

d)

Be confused

174.

7x = 3x + 24

a)

6

b)

10

c)

14

d)

4

175.

10x + 9 = 4x - 9

a)

0

b)

3

c)

-3

d)

-18

176.

2c - 12 = 9c + 2

a)

14

b)

2

c)

-2

177.

8 - 9t = 21t - 17

a)

t = 6/5

b)

t = 5/6

c)

t = 1

178.

3 - 5x = -9 + x

a)

4

b)

3

c)

2

d)

1

179.

Which of the following angles would NOT be congruent to the measure of $\angle7$ ?

a)

$\angle2$

b)

$\angle3$

c)

$\angle6$

d)

$\angle8$

180.

If the $m\angle7\ =\ 115\degree,$ find the measure of $\angle2.$

a)

$115\degree$

b)

$65\degree$

c)

$180\degree$

d)

Cannot be determined

181.

If the $m\angle5\ =\ 63\degree,$ find the measure of $\angle3.$

a)

$63\degree$

b)

$117\degree$

c)

$180\degree$

d)

Cannot be determined

182.

If the $m\angle1\ =\ 57\degree,$ find the measure of $\angle6.$

a)

$123\degree$

b)

$57\degree$

c)

$180\degree$

d)

Cannot be determined

183.

a)

x = 118

b)

x = 108

c)

x = 28

d)

x = 58

184.

What it the measurement for angle 1?

a)

140^o

b)

180^o

c)

40^o

d)

160^o

185.

Find the measure of the indicated angle.

a)

95

b)

85

c)

35

d)

45

186.

Find the missing angle. Find x.

a)

20^o

b)

70^o

c)

160^o

d)

180^o

187.

What is the measure of x?

a)

47

b)

133

c)

105

d)

39

188.

If m∠1 = 30°, then m∠3 =

a)

30°

b)

60°

c)

150°

d)

undetermined

189.

State the angle relationship and find the measure of angle 1

a)

Corresponding
110

b)

Alternate Exterior
110

c)

Corresponding
70

d)

Alternate Exterior
70

190.

State the angle relationship and find the measure of angle 1

a)

Alternate Interior
37

b)

Alternate Interior
143

c)

Corresponding
143

d)

Corresponding
37

191.

Angle 1 = 27^oFind the measure of angle 2

a)

27^o

b)

153^o

c)

63^o

d)

90^o

192.

Find L

a)

∠L=51°

b)

∠L=129°

c)

∠L=180°

d)

∠L=39°

193.

Find C

a)

∠C=116°

b)

∠C=64°

c)

∠C=180°

d)

∠C=26°

194.

a)

52

b)

115

c)

138

d)

142

195.

a)

A

b)

B

c)

C

d)

D

196.

a)

50

b)

45

c)

30

d)

25

197.

a)

x+20

b)

4x+10

c)

2x+20

d)

5x+20

198.

a)

35

b)

45

c)

55

d)

135

199.

a)

25

b)

35

c)

40

d)

60

200.

a)

70

b)

95

c)

105

d)

110

201.

a)

The value of x is 79, because the two angles shown in each diagram are congruent

b)

The value of x is 79, because the two angles shown in each diagram are supplementary

c)

The value of x is greater than 90, because the two angles shown in each diagram are obtuse angles.

d)

The value of x is 11, because the two angles shown in each diagram are complementary

202.

a)

w =75, because 45 + 60 = 105 and 180 -105 =75

b)

w = 105, because 180-(45+60) = 75 and 180 - 75 = 105

c)

w = 285, because 45+60 = 105 and 105 + 180 = 285

d)

w= 165, because 180-60 = 120 and 120 + 45 = 165

203.

a)

The value of x should be 75, because the angle shown in the diagram are congruent

b)

The value of x should be 105, because the measure of angles shown in the diagrams add up to be 180

c)

The value of x should be 140, because the measure of the angle shown in the diagrams should add up to 360 and 360 - (110 +110) = 140

d)

The value of x should be 70, because the measures of the angles shown in the diagrams

204.

a)

(2, -2)

b)

(2, 2)

c)

(-2, 2)

d)

(-2, -2)

205.

a)

(2, -1)

b)

(-1, 2)

c)

(-2, 1)

d)

(1, -2)

206.

a)

(2, 0)

b)

(-2, 0)

c)

(0, 2)

d)

(0, -2)

207.

a)

(-3, 0)

b)

(0, 3)

c)

(3, 0)

d)

(0, -3)

208.

a)

(-1, -4)

b)

(-1, -3)

c)

(-3, -1)

d)

(-4, -1)

209.

Where do these two lines intersect?

a)

(-3, 2)

b)

(-2, 3)

c)

(3, -2)

d)

(2, 3)

210.

These two lines intersect at _____.

a)

(4, -2)

b)

(4, 2)

c)

(-2, 4)

d)

No solution

211.

Answer the question presented with the graph:

a)

15

b)

30

c)

33

d)

24

212.

Based on the graph, which of the statements appears to be true?

a)

The ribbons sold by Erica on day 18, is 6 less than the number sold by Frank.

b)

The ribbons sold by Frank on day 18, is 6 less than the number sold by Erica.

c)

The number of ribbons sold on day 18, is the same for both Frank and Erica

d)

The number of ribbons sold on day 18 cannot be determined for either Frank or Erica.

213.

Explain why the answer to this question is 6, and not 15:

a)

The answer actually is 15, NOT 6.

b)

Neither answer is correct for this problem.

c)

Because 6 is the number of days, and the question is asking for the number of ribbons left.

d)

Because 15 is the number of ribbons left, and the question is asking for the number of days.

Fall Benchmark Review

Total questions: 213

Worksheet time: 8hrs 19mins

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