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Benchmark 3 Review

Total questions: 40

Worksheet time: 55mins

Name
Class
Date
1.

Which is equivalent to the following?

12 - 8 ÷ (2)2

a)

1

b)

10

c)

8

d)

-4

2.

Which list is ordered from least to greatest?

a)

7 × 101 , 0.0007 , 7⁄10 , 7%

b)

7 × 101 , 7% , 0.0007 , 7/10

c)

0.0007 , 7% , 7/10 , 7 × 101

d)

7% , 0.0007 , 7 × 101

3.

Susan’s checkbook had a balance of $422.05 on April 1. On April 5, she wrote a check for $106.30 to the auto repair shop. On April 7, she wrote a check in the amount of $310.00 for rent. On April 9, her dad sent her $95.00 to deposit into her account. What is the balance of Susan’s account after this deposit?

a)

$743.35

b)

$89.25

c)

$100.75

d)

$933.35

4.

Which table could be used to graph the function y = ½x ?

a)

F

b)

G

c)

H

d)

I

5.

Jennifer is preparing to run in a marathon. Every morning, she runs 5 miles in 45 minutes. At that rate, approximately how far could she run in 120 minutes?

a)

8.6 miles

b)

13.3 miles

c)

9.4 miles

d)

6.4 miles

6.

Is there a pattern in the given scatter plot?

a)

Negative relationship

b)

Cannot be determined

c)

Positive relationship

d)

No relationship

7.

Look at the model of an equation.


What is the solution to the equation represented in the model?

a)

2

b)

5

c)

-2

d)

1

8.

What is the value of (x2+ y 2) ÷ 2 when x = 4 and y = 6?

a)

26

b)

22

c)

36

d)

14

9.

Between which two whole numbers is √37 ?

a)

37 and 38

b)

5 and 6

c)

6 and 7

d)

18 and 19

10.

What is the total area of the figure shown?

a)

26 in

b)

32 ins2

c)

42 in2

d)

19 in2

11.

Ashira has $1,000 in her savings account. The interest rate is 2.5%. How much interest will Ashira earn when her money has been in the bank for 3 years?

a)

$75

b)

$750

c)

$7500

d)

$1075

12.

The formula shows that l , the length of a side of a rectangle, depends on w , the width of a side of a rectangle. What is the dependent variable in the formula?

l = 2w

a)

=

b)

l

c)

2

d)

w

13.

Which is closest to the volume of this cone?

a)

28.26 ft3

b)

339.12 ft3

c)

94.2 ft3

d)

84.78 ft3

14.

Gary is beginning to lay down the tape for a basketball court in his driveway.


How much tape has Gary used?

a)

476.16 ft

b)

463.84 ft

c)

513.84 ft

d)

689.68 ft

15.

Which graph represents the inequality -x - 2 ≤ 1 ?

a)

A

b)

B

c)

C

d)

D

16.

Which is closest to the volume of this square –based pyramid?

a)

33.3 cm3

b)

80 cm3

c)

40 cm3

d)

26.7 cm3

17.

The hypotenuse of a right triangle is 16 cm and one leg is 6 cm. What is an approximate length of the second leg?

a)

17 cm

b)

10 cm

c)

13 cm

d)

15 cm

18.

Compare the two fractions:

⅔ _____ ⅗

a)

b)

<

c)

>

d)

=

19.

A dress is marked up from 75 dollars to 125 dollars. What is the percent increase?

a)

25%

b)

66.7%

c)

50%

d)

75%

20.

A 25 foot ladder leans against a house. How far is the foot of the ladder from the base of the building if the top of the ladder is 20 feet from the ground?

a)

18 ft

b)

20 ft

c)

10 ft

d)

15 ft

21.

How much interest has to be paid on a $600 loan with a 4% interest rate for 6 months?

a)

$144

b)

$120

c)

$12

d)

$24

22.

If the width of the rectangular prism is doubled, which of the following is true?

a)

The volume is eight times as large.

b)

The volume is twice as large.

c)

The volume increases by 28.

d)

The volume is half as large.

23.

In the drawing below, what is the relationship of ∠1 and ∠2?

a)

Supplementary

b)

Vertical

c)

Right

d)

Complementary

24.

Kali developed her own website to advertise her babysitting business. In June she had 5,234 people visit her site. In July she had a 12 percent decrease in visitors. Approximately how many people visited Kali's website in July?

a)

5,222

b)

4,605

c)

5,862

d)

4,673

25.

Jeff made a chocolate pie on Monday. He and a friend ate half of it the next day. On Wednesday, they ate one half of the remaining pie. How much of the pie is left to eat on Thursday?

a)

¼

b)

½

c)

0

d)

26.

The probability that a new class president will be a female and a senior is 0.35. The probability of the class president being a female, given she is a senior, is 0.50. What is the probability of the class president being a senior?

a)

0.65

b)

0.50

c)

0.15

d)

0.70

27.

Does the set of numbers represent a right triangle?

20, 25, 15

a)

Yes

b)

No

28.
Find the length of the missing side. 
a)
20 in.
b)
68 in.
c)
16 in.
d)
80 in.
29.
-3 − 6(4x + 6) > -111
a)
x > 3
b)
x < 3
c)
x < -3
d)
x > -3
30.

Which is a possible solution -8(m + 2) < 4(5 + 2m)

a)

m = -2

b)

m = -3

c)

m = -8

d)

m > -10

31.
6(6v +6) - 5 = 1 + 6v
a)
1
b)
-1
c)
no solution
d)
all real numbers
32.
3/4(6x + 2) = 15
a)
3
b)
6
c)
18
d)
20
33.
What is the interquartile range?
a)
4
b)
6
c)
2
d)
8
34.
What percent of students have a height between 58 inches and 60 inches?
a)
25%
b)
50%
c)
75%
d)
100%
35.
What percentage of the data is between 90 and 140?
a)
25 %
b)
50%
c)
75%
d)
100%
36.
Find the slope from the table.
a)
1/4
b)
-1/4
c)
-4/1
d)
4/1
37.
What is the y-intercept of this graph?
a)
(0,1)
b)
(0,-2)
c)
(0,0)
d)
(0,3)
38.
Determine the slope and y-intercept from the following equation:   y = 3/2x + 3
a)
slope: 5   y-intercept:  (0,3) 
b)
slope: 3/2   y-intercept:  (0,3) 
c)
slope:  4  y-intercept:  (0,3/2)
d)
slope: 1/5   y-intercept:  (0,5) 
39.
Tell whether the angles are complementary or supplementary. Then find the value of x.
a)
Complementary; x=25
b)
Complementary; x=5
c)
Supplementary; x=25
d)
Supplementary; x=5
40.
What is the value of x?
a)
60
b)
26
c)
14
d)
10