Free Printable Benchmark Review for 2nd Nine Weeks Pre-Algebra

1.

m - 5 > 10

a)

m is less than 15

b)

m is greater than 5

c)

m is greater than 15

d)

m is less than 5

2.

- 2k > 18

a)

k is greater than 20

b)

k is less than negative 9

c)

k is greater than negative 9

d)

k is less than 36

3.

8x ≥ -32

a)

x ≥ -4

b)

x ≥ 4

c)

x ≤ -4

d)

x ≥ 4

4.

s + 9 ≥ -25

a)

s ≥ -18

b)

s ≥ -34

c)

s ≤ 18

d)

s ≥ 34

5.

4x - 2 ≤ -22

a)

x ≥ -5

b)

x ≥ -6

c)

x ≤ -6

d)

x ≤ -5

6.

7b - 3 < 11

a)

b < 2

b)

84 > b

c)

b > 2

d)

b < 84

7.

6 - 2h > 30

a)

h < 24

b)

18 > h

c)

h > 12

d)

h < -12

8.

1 + 3r > 10

a)

r < 11

b)

r > 3

c)

27 > r

d)

r > 27

9.

-7 + 10z > -27

a)

z < -2

b)

z > -34

c)

2 > z

d)

z > -2

10.

a)

x is less than or equal to -2

b)

x < -2

c)

-2 < x

d)

x is greater than -2

11.

a)

x > 1

b)

1 ≥ x

c)

x is greater than or equal to 1

d)

x is less than or equal to 1

12.

When you graph an inequality, you use a closed dot when you use which symbols?

a)

≤, ≥

b)

<, >

c)

≤, <

d)

≥, >

13.

When graphing an inequality, you use an open dot when you use which symbol?

a)

<, >

b)

≤, ≥

c)

≤, <

d)

≥, >

14.

Pick the correct letter for:
6 > x

a)

A

b)

B

c)

C

d)

D

15.

Match the graph with its inequality.

a)

b > –2

b)

b < –2

c)

b ≥ –2

d)

b ≤ –2

16.

What inequality does the number line graph represent?

a)

x ≤ -4

b)

x ≥ -4

c)

x < -4

d)

x < 4

17.

What are two numbers that could be x in x < 8?

a)

8.6, 7.9

b)

11, 16

c)

0.8, 5.9

d)

12, 7.1

18.

Solve.
-2(x+2) < 14

a)

x < - 5

b)

x > -5

c)

x < -9

d)

x > -9

19.

Solve.
8(m + 2) < 4(5 + 2m)

a)

no solution

b)

m < -2

c)

all real numbers

d)

m > 4

20.

Solve.
11x + 16 < 43 + 2x

a)

x ≥ 5

b)

x < 3

c)

x > 5

d)

x ≤ 3

21.

Solve:

a)

p ≤ -12

b)

p ≥ -12

c)

20 ≥ p

d)

20 ≤ p

22.

14 < -2a + 6 - 2a

a)

a > -2

b)

a < -2

c)

a > 2

d)

a < 2

23.

what is the correct formula for Right Triangles

a)

A²+B²=C²

b)

A²+A²=C²

c)

A²+B²=C³

d)

A²+B²=C⁴

24.

Which of the following statements is NOT a true statement

a)

The legs of a Triangle are the sides adjacent to the right angle

b)

The Pythagorean theorem can only be used with right Triangle

c)

The Hypotenuse is always the shortest side length

d)

The Hypotenuse is directly across from the right angle

25.

The theorem only works on

a)

obtuse Triangles

b)

Right Triangles

c)

Acute Triangles

26.

find the hypotenuse

a)

?=7cm

b)

?=6cm

c)

?=4cm

d)

?=5cm

+

27.

Find the length of the diagonal of a rectangle whose sides are 6cm and 8cm.

a)

d=10

b)

d=12 cm

c)

d=10√2 cm

d)

d=12√2cm

28.

Find the length of the diagonal of a square whose side is 4 cm

a)

d=6 cm

b)

d=4√2 cm

c)

d=2√2 cm

29.

The angle ABC is a right angle.

a)

False

b)

True

30.

The triangle whose sides measure 7cm, 8cm and 10cm is a right triangle?

a)

TRUE

b)

false

31.

Find the length of the missing side.

a)

17 cm

b)

22 cm

c)

15 cm

d)

13 cm

32.

Side c on a right triangle is ALWAYS the longest.

a)

true

b)

false

33.

_{^{Find the missing side}}

a)

36

b)

76.8

c)

12

d)

40

34.

_{^{Find the missing side}}

a)

9

b)

26.9

c)

37

d)

18.2

35.

8v - 4(v + 8) = 8

a)

2

b)

10

c)

4

d)

-4

36.

2x - 3 + 4x = 27

a)

12

b)

4

c)

5

d)

15

37.

5x - 4 + 2x = 3

a)

1

b)

2

c)

3

d)

4

38.

3x + 2(4x - 4) = 3

a)

4

b)

3

c)

2

d)

1

39.

2x + 3(5x - 7) = 47

a)

1

b)

2

c)

3

d)

4

40.

Which operation would you do first in the following equation?
10 - 4 ÷ 1 · 5

a)

Subtraction

b)

Division

c)

Multiplication

d)

Addition

41.

Which operation would you do first?
( 12 + 10) ÷ 10 · 14 - 6

a)

Division

b)

Multiplication

c)

Addition

d)

Subtraction

42.

Evaluate the equation:
(10+5) -6

a)

9

b)

10

c)

11

d)

12

43.

Evaluate the equation:
5 · 2 - (11 - 7)

a)

10

b)

4

c)

6

d)

11

44.

Evaluate the equation:
4 · 3 - 7

a)

10

b)

20

c)

41

d)

5

45.

Evaluate the equation:
7 ÷ 1 - 6

a)

1

b)

5

c)

6

d)

7

46.

Which operation would you do first?
10 - 7 + 8 ÷ 1

a)

Subtraction

b)

Addition

c)

Division

d)

Multiplication

47.

Which operation would you do first?
10 - ( 9 + 3 ) ÷ 2

a)

Subtraction

b)

Addition

c)

Division

d)

Multiplication

48.

Which operation would you do first?
2 · (15 - 2) ÷ 5

a)

Addition

b)

Subtraction

c)

Multiplication

d)

Division

49.

40+(72÷9)÷8

a)

49

b)

25

c)

41

d)

15

50.

23+(30÷10)x4

a)

35

b)

32

c)

12

d)

45

51.

(4x8)-(9+7)

a)

16

b)

25

c)

41

d)

32

52.

Evaluate 2a + 4b
if a = 10 and b = 6

a)

20

b)

24

c)

44

d)

4

53.

Evaluate m² if m = 5

a)

10

b)

25

54.

Evaluate the expression: ¾ x when x = 12

a)

6

b)

8

c)

9

d)

10

55.

Evaluate the expression: x + ⅓ when x = ⅔

a)

1

b)

3

c)

4/3

d)

1/3

56.

2x + 3 + x²; for x = 4

a)

17

b)

27

c)

19

d)

25

57.

evaluate bc + 5a
when a = 3, b = 4, and c = -6

a)

9

b)

38

c)

-38

d)

-9

58.

17 = x + 3

a)

x = 20

b)

x = 14

c)

x = 13

d)

x = 19

59.

x + 12 = 20

a)

x = 32

b)

x = -32

c)

x = 8

d)

x = -8

60.

x - 32 = 49

a)

x = 17

b)

x = 71

c)

x = 81

d)

x = 49

61.

x - 62 = 123
How should you show your work to isolate the variable and solve the equation?

a)

Add 62 to each side.

b)

Subtract 62 from each side.

c)

Multiply each side by 62.

d)

Add 123 to each side.

62.

10x = 90

a)

x = 80

b)

x = 100

c)

x = 10

d)

x = 9

63.

y/-5 = 20

a)

y = 100

b)

y = -4

c)

y = -100

d)

y = -15

64.

What is the inverse operation of division?

a)

Division

b)

Multiplication

c)

Addition

d)

Subtraction

65.

Which equation has x = 5 as the solution?

a)

x + 15 = 10

b)

2x = 5

c)

2x = 10

66.

Choose the correct equation for the situation.
Jane is 3 years older than Sam. If Jane 12, how old is Sam?

a)

j - 3 = 12

b)

s - 3 = 12

c)

s + 3 = 12

d)

j + 12 = 3

67.

What equation matches this situation?
Robyn had some video games then bought 4 more. Now she has a total of 10 games.

a)

v - 4 = 10

b)

v + 4 = 10

c)

10 - 4 = v

d)

Answer not Given

68.

33 = 4a - 7

a)

a=-10

b)

a=10

c)

a=4.5

69.

6 - 3a = 21

a)

a= 9

b)

a= -9

c)

a= -5

d)

a= 5

70.

-3a + 8 = 14

a)

a= -2

b)

a= -7.5

c)

a= 2

d)

a= 6

71.

26 = 5a + 1

a)

a= 5 ⁴∕₅

b)

a= no solution

c)

a= 0

d)

a= 5

72.

3 + (¹∕₄)a = 31

a)

a= 28

b)

a= 112

c)

a= 7

d)

a= 67

73.

7 + ^a⁄₃= 5

a)

a= -2

b)

a= -6

c)

a= 3

d)

a= 15

74.

-5 - 6a = -59

a)

a= 11

b)

a= -6

c)

a= 9

d)

a= 2

75.

^{(a + 3)}⁄₇= 3

a)

a= 18

b)

a= 21

c)

a= 4

d)

a= 11

76.

50 = 28.1 + 0.15a

a)

a= 150

b)

a= 146

c)

a= 6

d)

a= 155

77.

the difference if 3 times a number and 7

a)

3 - 7n

b)

3n - 7

c)

3n + 7

d)

3 / 7n

78.

m plus the product of 6 and n

a)

m + 6n

b)

m - 6 + n

c)

6m + n

d)

m + 6 + n

79.

5 less than the product of 7 and s

a)

7s - 5

b)

5 - 7 + s

c)

7(s - 5)

d)

5 - 7s

80.

the quotient of a number and 4

a)

n / 4

b)

n - 4

c)

n + 4

d)

4n

81.

the sum of fifty-two and a number

a)

n-52

b)

52 + n

c)

52/n

d)

52n

82.

4 less than 5

a)

4 - 5

b)

5 - 4

c)

4p - 5

d)

5 - 4p

83.

Which expression represents the following phrase?

six more than five times a number

a)

5(n+6)

b)

n + 5 + 6

c)

5n + 6

84.

Which expression represents the following phrase?

nine less than twice a number

a)

2n - 9

b)

9n + 2

c)

2n = 9

85.

Which expression represents the following phrase?

eight less that twice a number is fourteen

a)

8n - 2 = 14

b)

2n - 8 = 14

c)

14 - 8 = 2n

86.

Which expression represents the following phrase?

one less than three times a number is seven

a)

3n - 1 = 7

b)

3n = 7 - 1

c)

3(n - 1) = 7

87.

Which expression represents the following phrase?

four more than five times a number is two less than the number

a)

5n + 4 - 2 = n

b)

5n - 4 = n + 2

c)

5n + 4 = n - 2

88.

Which expression represents the following phrase?

twice the sum of a number and 3 is 20

a)

2(n + 3) = 20

b)

2n + 3 = 20

c)

2n - 3 = 20

89.

Solve

a)

2

b)

-2

c)

6

d)

-6

90.

What is the absolute value of -1.3

a)

1.3

b)

-1.3

c)

0

91.

I 5 I

a)

5

b)

-5

92.

Find the Absolute Value of 220

a)

-220

b)

110

c)

-110

d)

220

93.

Find the Absolute Value of -18

a)

18

b)

-18

c)

36

d)

-36

94.

I -808 I

a)

808

b)

-808

95.

Find the absolute value of -99

a)

-99

b)

99

96.

Find the absolute value

a)

-43

b)

43

c)

0

d)

-1

97.

What is the reason that absolute value is always written as a positive?

a)

Absolute value is talking about numbers so it must be positive.

b)

Absolute value does not always have to be positive.

c)

Absolute value is like a clock it has only positive numbers.

d)

Absolute value is talking about distance, distance is always measured by positive numbers.

98.

The absolute value of |26| is?

a)

26

b)

- 26

99.

What's another way to define absolute value?

a)

The value of a number

b)

The opposite of a number

c)

The distance of a number from zero

d)

The multiplicative inverse of a number

100.

Order the numbers from least to greatest.
-2, I8I, 5, I-10I, 6

a)

-2, I8I, 5, I-10I, 6

b)

-2, 5, 6, I8I, I-10I

c)

-2, 5, 6, 8, 10

d)

I-10I, -2, 5, 6. I8I

101.

|6| + |-3|

a)

3

b)

-3

c)

-9

d)

9

102.

√196

a)

13

b)

14

c)

15

d)

16

103.

√225

a)

16

b)

15

c)

14

d)

none of the above

104.

√169

a)

13²

b)

14

c)

15

d)

13

105.

What is the Square Root of 289?

a)

17

b)

16

c)

15

d)

18

106.

All the following are Perfect Squares except for which one?

a)

81

b)

121

c)

361

d)

198

107.

144

a)

Is a perfect square.

b)

Is not a perfect square.

108.

Which would be the next number in the pattern?
36, 49, 64, 81 __

a)

82

b)

18

c)

64

d)

100

109.

Square root of 16 is....

a)

8

b)

4

c)

2

d)

3

110.

True or false? 9² is 18

a)

True

b)

False

111.

The square root of 256 is...

a)

15

b)

18

c)

13

d)

16

112.

Solve.
√9 × √100

a)

30

b)

-200

c)

900

d)

90

113.

Which of these areas is a perfect square?

a)

12

b)

90

c)

40

d)

64

114.

√25

a)

100

b)

5

c)

50

d)

10

115.

A perfect square is created when a whole number is multiplied by ___

a)

a different number

b)

itself

c)

a two digit number

d)

a fraction

116.

Which list contains only perfect squares?

a)

100, 144, 225, 500

b)

99, 111, 133, 155

c)

1, 4, 8, 16

d)

100, 289, 324, 400

117.

What is 10^-1 in standard notation?

a)

.1

b)

.01

c)

1

d)

10

118.

What is 10^-4 in standard notation?

a)

.001

b)

.0001

c)

10,000

d)

100,000

119.

Express the following number as powers of ten:
0.001

a)

10³

b)

10⁴

c)

10^-2

d)

10^-3

120.

Express the following number as powers of ten:
1

a)

10¹

b)

10^-1

c)

10⁰

d)

It cannot be expressed in powers of ten.

121.

What is the fraction form of 10^-4?

a)

1/1,000

b)

1/10,000

c)

1/100,000

d)

4/1,000

122.

Write 7.113 x 10⁷ in standard form.

a)

71,130,00

b)

7,113,000

c)

0.0000007113

d)

7,113

123.

Write 0.00000707 in scientific notation.

a)

7.07 x 10^-6

b)

7.07 x 10⁶

c)

707 x 10⁸

d)

707 x 10^-8

124.

Write 2.08 x 10²in standard form.

a)

208

b)

0.0208

c)

20,800

d)

0.208

125.

Write 7.8 x 10^-3in standard form.

a)

0.0078

b)

7,800

c)

78

d)

0.078

126.

Write 8.73 x 10^-4in standard form.

a)

0.000873

b)

0.0873

c)

87,300

d)

8,730

127.

What is 3.5 turned into a fraction?

a)

7/3

b)

3 1/3

c)

3.5%

d)

3 1/2

128.

What is 5/10 in percent form?

a)

0.50

b)

50%

c)

1/2

d)

5.0

129.

What is 70% turned into a decimal?

a)

0.7

b)

0.10

c)

0.75

d)

0.86

130.

.60 is what fraction ?

a)

1/2

b)

2/3

c)

60

d)

6/10 = 3/5

131.

Change this decimal to a percent.
0.528

a)

528%

b)

52.8%

c)

5.28%

d)

52%

132.

Order from greatest to least?

a)

0.45, 0.09, 0.9, 0.5

b)

0.8, 0.5, 0.09, 0.02

c)

1 , 0.4, 0.8, 5

d)

0.64, 0.98, 0.55, 0.44

133.

Put in order from least to greatest?

a)

0.09, 0.1, 0.14, 0.3

b)

0.3, 0.14, 0.1, 0.09

c)

0.5, 0.4, 0.6, 0.9

d)

IDK

134.

Fraction to a Percent
3/8

a)

37.5%

b)

3.75%

c)

.375%

135.

Write the percent as a decimal:
217%

a)

.0217

b)

0.217

c)

2.17

d)

21.7

136.

Which is greater?
0.12, 1.2%

a)

They are equal

b)

0.12

c)

1.2%

137.

Which is greater?
140%, 1.4

a)

They are equal

b)

140%

c)

1.4

138.

Reed has read 12 pages of the 20-page reading assignment. What percent of the assignment has Reed read?

a)

60%

b)

25%

c)

75%

d)

33 1/3%

139.

On a math test, Dante answered 16 questions correctly out of 25. What percent of the questions did he NOT answer correctly?

a)

64%

b)

25%

c)

16%

d)

36%

140.

Brandi had to put down a deposit of 3/20 of the value of her new condominium. Express the deposit as a percent.

a)

3%

b)

15%

c)

30%

d)

73%

141.

Marvin's rent is 25% of his earnings. What fraction of Marvin's earning is paid towards her rent?

a)

7/20

b)

3/4

c)

4/5

d)

1/4

142.

The total number of free throws made by a basketball player was 33 out of 50. What percent of the free throws were made?

a)

33%

b)

50%

c)

33 1/3%

d)

66%

143.

In between what two integers is the square root of 77?

a)

5 and 6

b)

6 and 7

c)

7 and 8

d)

8 and 9

144.

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

145.

Round to the Nearest Hundredth: √7

a)

3.5

b)

2.7

c)

2.8

d)

14

146.

Round to the Nearest Hundredth: √13

a)

5.6

b)

2.6

c)

3.9

d)

3.6

147.

Round to the Nearest Hundredth: √28

a)

5.6

b)

5.9

c)

5.3

d)

8

Benchmark Review for 2nd Nine Weeks Pre-Algebra

Total questions: 147

Worksheet time: 17hrs 14mins

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