Free Printable Pre-Algebra Midterm Review

1.

The √98 falls between what two numbers on a number line?

a)

10 and 11

b)

11 and 12

c)

9 and 10

d)

90 and 100

2.

-17.565

a)

Rational

b)

Irrational

3.

A repeating decimal is what type of number?

a)

Rational

b)

Irrational

4.

Which of these is an example of a terminating decimal?

a)

1⁄2

b)

1⁄3

c)

2⁄3

d)

1⁄7

5.

According to exponent rules, when we multiply two power with the same base we _______ the exponents.
Example: c⁶ ⋅ c⁴

a)

add

b)

subtract

c)

multiply

d)

divide

6.

According to exponent rules, when we divide two powers with the same base we _______ the exponents.
Example: h⁸/h³

a)

add

b)

subtract

c)

multiply

d)

divide

7.

8⁷ ⁄ 8²

a)

8⁵

b)

8⁹

c)

8¹⁴

d)

1⁵

8.

Simplify
x⁻⁶

a)

1 ⁄ x⁶

b)

x⁶

c)

-x⁶

d)

-1 ⁄ x⁶

9.

(5³x²y⁴)⁰

a)

5xy

b)

1

c)

0

d)

5

10.

Write 7.113 x 10⁷ in standard form.

a)

71,130,000

b)

7,113,000

c)

0.0000007113

d)

7,113

11.

Which of the following is correct scientific notation?

a)

20.35 x 10⁴

b)

.2035 x 10⁴

c)

2035⁴

d)

2.035 x10⁴

12.

Solve:
2x + 1 = 2x - 1

a)

No Solution

b)

x = 0

c)

Infinitely Many Solutions

13.

Simplify each equation. Tell whether the equation has one, no, or infinite solutions.
5x + 6 = 2 + 3x

a)

one

b)

no solutions

c)

infinite solutions

14.

What is the solution to the equations?

a)

one solution

b)

no solution

c)

infinite solutions

d)

none of these

15.

What is the solution to this equation?

a)

one solution

b)

no solution

c)

infinite solutions

d)

none of these

16.

Solve . $11c\ -\ 8\ =\ 58$

a)

6

b)

-6

c)

5.1

d)

-5.1

17.

Solve. $\frac{g}{-6}+\ 2\ =\ -36$

a)

-228

b)

204

c)

228

d)

-204

18.

Sally and Joe have a combined age of 41. Sally is 5 less than twice the age of Joe. How old is Joe?

a)

18

b)

23

c)

20

d)

18

19.

Simplify. $10x\ +\ 4\left(x+32\right)$

a)

6x + 32

b)

14x + 32

c)

6x + 128

d)

14x + 128

20.

Evaluate: $\frac{12}{x}\ -\ y\ \ if\ x\ =\ -4\ and\ y\ =\ -5$

a)

8

b)

-2

c)

-8

d)

2

21.

Solve. $3a\ -\ 4\ =\ 26$

a)

7.2

b)

10

c)

-10

d)

27

22.

Find the sum. $-27+\left(-4\right)\ +\ 33$

a)

2

b)

10

c)

56

d)

-64

23.

Simplify. $-3\left(x-2\right)$

a)

-3x - 6

b)

-3x - 2

c)

-3x+2

d)

-3x + 6

24.

Simplify. $-8\left(x-4\right)\ +\ 7x$

a)

-1x + 32

b)

-15x + 32

c)

- 1x - 32

d)

-1x - 4

25.

Simplify. $-5\ +\ 20x\ +\ 20x\ -\ 8$

a)

40x - 13

b)

-13

c)

40x + 3

d)

3

26.

Solve. $7x\ +\ 3\ =\ 31$

a)

x = -4

b)

x = 4

c)

x = 21

d)

x = 4.8

27.

Name the first step in solving 4x + 19 = 51

a)

add 19

b)

subtract 19

c)

divide by 4

d)

multiply by 4

28.

Solve. $-19\ =\ m\ -\ 31$

a)

m = 12

b)

m = 50

c)

m = -12

d)

m = -50

29.

Solve. $8x\ -\ 4\ =\ 44$

a)

x = -6

b)

x = 5

c)

x = 6

d)

x = -5

30.

Translate and solve: four more than three times a number is 40

a)

3x - 4 = 40; x = 14.2

b)

3x + 4 = 40; x = 12

c)

4x + 3 = 40, x = 9.2

d)

7x = 40; x = 5.625

31.

Solve. $3\ -\ \left(-5x\right)\ =\ 23$

a)

x = 4

b)

x = -4

c)

x = 5.2

d)

x = -5.2

32.

Simplify. $6x\ +\ 11y\ -\ 9x\ -\ 7y$

a)

15x + 18y

b)

-3x + 4y

c)

15x - 18y

d)

3x - 4y

33.

Put the following in order from least to greatest:
$\sqrt{64},\ 8\frac{1}{7},\ 8.\overline{14},\ \frac{15}{2}$

a)

$\frac{15}{2},\ \sqrt{64},\ 8\frac{1}{7},\ 8.\overline{14}$

b)

$8\frac{1}{7},\ \sqrt{64},\ \frac{15}{2},\ 8\overline{.14}$

c)

$\sqrt{64},\ 8\frac{1}{7},\ 8.\overline{14},\ \frac{15}{2}$

d)

$\frac{15}{2},\ \sqrt{64},\ 8.\overline{14},\ 8\frac{1}{7}$

34.

Write the correct symbol to replace the blank to make a true statement. -9 ______-20

a)

<

b)

>

c)

=

d)

/

35.

$\frac{x}{4}-\ 3\ =\ 15$ Solve.

a)

48

b)

3

c)

-72

d)

72

36.

$x^2\ =\ .81$ Solve.

a)

.9

b)

9

c)

-9

d)

.09

37.

$9\left(-4\right)\left(-3\right)$ Evaluate:

a)

108

b)

-108

c)

2

d)

-2

38.

|3-9| + |-3+5|

a)

-4

b)

-8

c)

8

d)

4

39.

Evaluate if a = -2, b = -4, and c = 3:

-9bc

a)

-72

b)

72

c)

-10

d)

-16

40.

Solve:

-5x - 20 = 100

a)

24

b)

-24

c)

16

d)

-16

41.

$10\ =\ 10\left(x\ -\ 20\right)$

a)

21

b)

-21

c)

1

d)

-1

42.

Name the constants in the following expression:

4 + 2x - 5x - 7

a)

2, -5

b)

2x, -5x,

c)

4, 2, -5, -7

d)

4, -7

43.

Evaluate m² + 12q if m = 5 and q = -3

a)

10

b)

-25

c)

-11

d)

13

44.

Which property is this an example of?
6 x 7 = 7 x 6

a)

Associative Property of Multiplication

b)

Commutative Property of Multiplication

c)

Inverse Property of Multiplication

d)

Distributive Property

45.

Which property is this an example of?
9 x 1 = 9

a)

Identity Property of Multiplication

b)

Commutative Property of Multiplication

c)

Associative Property of Multiplication

d)

Multiplicative Inverse

46.

3(w + 4) = 3w + 12 is an example of...

a)

Inverse Property

b)

Distributive Property

c)

Multiplicative Inverse

d)

Associative Property

47.

4 + 3 + (2 + 5) = 4 + (3 + 2) + 5

a)

Commutative Addition

b)

Associative Addition

c)

Commutative Multplication

d)

Associative Multiplication

48.

A wise man once said, "400 reduced by twice my age is 260." What equation represents how old the man is?

a)

260-2a=400

b)

400-260=2a

c)

2a-400=260

d)

400-2a=260

49.

Translate from English to math: 3 less than y

a)

3-y

b)

y-3

c)

y/3

d)

3y

50.

Which is NOT a word phrase for x + 2

a)

the sum of x and 2

b)

2 more than x

c)

the product of x and 2

d)

x plus 2

51.

Fingernails grow about 1.5 inches per year. How long would it take to grow nails 36 inches long?

a)

54 years

b)

24 years

c)

34.5 years

d)

37.5 years

52.

As a cold front moved in, the temperature dropped 3 degrees each hour for 6 hours. What was the total temperature change after the 6 hours?

a)

-18 degrees

b)

-9 degrees

c)

-3 degrees

d)

-2 degrees

53.

A submarine at an elevation of -35 feet rises 35 feet. What is the elevation of the submarine after it rises?

a)

-70 feet

b)

0 feet

c)

35 feet

d)

70 feet

54.

A map has a scale of 1/2 inch=16 miles. The distance between two parks on the map is 2 3/4 inches. How many miles apart are the parks?

a)

40 miles

b)

44 miles

c)

76 miles

d)

88 miles

55.

Jerome earns $200 per month plus $12 for each bike he sells at the bike shop. This month, he wants to earn at least $400. What is the least number of bikes that Jerome can sell to reach his goal?

a)

15

b)

16

c)

17

d)

33

56.

What percent of 300 is 126

a)

2.38%

b)

42%

c)

4.2%

d)

0.42%

57.

Freida drove 50 miles in 15 minutes. At this rate, how many miles did she drive in 9 minutes?

a)

3 miles

b)

450 miles

c)

30 miles

d)

45 miles

58.

Colton wants to spend no more than $16 in the batting cages at the Sandlot. The cost of admission is $3.25. Each round in the batting cages costs $1.50. Which inequality can Colton solve to find the number of rounds, n, that he can buy?

a)

1.50 + 3.25n ≥ 16

b)

3.25n − 1.50 ≤ 16

c)

3.25 + 1.50n ≤ 16

d)

3.25 + 1.50n ≥ 16

59.

Find the sales tax only. $199.95 ipod; 9% tax

a)

$ 17.99

b)

$ 217.95

c)

$18.00

d)

$179.90

60.

Sam bought an $85.00 jacket for 40% off of the regular price. How much did he pay for the jacket?

a)

75

b)

51

c)

36

d)

isaiah

61.

Mrs. Ray is buying some groceries. They total to $35.50. Sales tax is 4.5%. When she goes to pay, how much will she owe?

a)

$1.60

b)

$37.10

c)

$40.00

d)

$2.50

62.

Gwen scans a photo that is 4 in. wide by 6 in. long into her computer. If she scales the length down to 3 in., how wide should the similar photo be?

a)

3 in

b)

2 in.

c)

4 in

d)

1 in

63.

Ben earns $12,800 a year. About 15% is taken out for taxes. How much is taken out for taxes?

a)

$3,000

b)

$12

c)

$15

d)

$1,920

64.

Name the constant of proportionality.

a)

8

b)

16

c)

6

d)

3

65.

Mr. Deutsch ran 42 miles in 8 hours. What was his miles per hour?

a)

4.25
336
336

b)

4.2

c)

5.2

d)

5.25

66.

A home improvement store normally sells 20-foot extension ladders for $225. This week the ladders are discounted by 20%. What is the sale price of the ladders?

a)

180

b)

165

c)

60

d)

45

67.

A muffin recipe calls for 8 cups of flour and yields 24 muffins. If Natalie wants to make 60 muffins, how much flour will she need?

a)

180

b)

24

c)

20

d)

3.2

68.

Madi took a test. Out of 12 questions, she answered nine correctly. What percent of the questions did she score correctly?

a)

25%

b)

50%

c)

75%

d)

80%

69.

Mr. Thompson plans to invest $7,500 in a savings account that earns 2.75% simple annual interest. If he makes no other deposits or withdrawals, how much money will Mr. Thompson’s account be worth after 10 years?

a)

$2,062.50

b)

$7,706.25

c)

$9,562.50

d)

$10,128.25

70.

Simplify:
3a + 2b + 5a

a)

10ab

b)

8ab

c)

8a + 2b

d)

3a + 7b

71.

Pristine House Cleaners charges $19.85 plus $32 a room. Sparkle House Cleaners charges $61.85 plus $18 a room. Write and solve an equation to find the number of rooms for which the total cost of both house cleaners is the same.

a)

4 Houses

b)

1/3 Houses

c)

3.5 Houses

d)

3 Houses

72.

Jared made sixty dollars mowing lawns over the summer. If he spent thirty-nine dollars buying new mower blades, how many seven dollar games could he buy with the money he had left?

a)

21 games

b)

3 games

c)

7 games

d)

99 games

73.

The cafeteria had fifty-one apples. For lunch they handed out forty-one to students and decided to use the rest to make pies. If each pie takes five apples, how many pies could they make?

a)

51 pies

b)

41 pies

c)

10 pies

d)

2 pies

74.

Sargento cheese slices $2.48 for 10 slices
or
Velveeta Cheese slices $3.18 for 12 slices
Find the unit price for each and choose the better deal.

a)

Sargento

b)

Velveeta

75.

Raul spent 10 minutes doing homework for each of 5 subjects and 15 minutes for another subject. How many minutes did Raul spend on his homework?

a)

30

b)

75

c)

35

d)

65

76.

Find the unit rate per ounce of a bag of Fritos that costs $2.29 for 9 ounces.

a)

$0.25

b)

$20.61

c)

$1.00

d)

$2.29

77.

Solve the proportion.

a)

k=5

b)

k=3.3333333

c)

k=3

d)

k=90

78.

Solve for x

a)

x = 1/10

b)

x = 10

c)

x = 4

d)

x = 5

79.

78 is what percent of 450?

a)

5%

b)

.17

c)

17%

d)

18%

80.

The movie theater has 250 seats. 225 seats were sold for the current showing. What percent of seats are empty?

a)

10%

b)

20%

c)

80%

d)

90%

81.

On a map, Putrajaya is 5 cm from Puchong. If the map's scale is 1 cm = 3 miles, what is the actual distance from Putrajaya to Puchong?

a)

15

b)

5

c)

10

d)

14

82.

34% of what number is 51?

a)

69

b)

71

c)

151

d)

196

83.

Find the percent change.
Original amount: 10
New amount: 12

a)

20%

b)

12%

c)

15%

d)

50%

84.

Find the percent change.
Original amount: 16
New amount: 11

a)

5%

b)

31%

c)

.3%

d)

56%

85.

How much tax would you pay on a new TV that is $899 at Best Buy, if the tax rate is 6.5%?

a)

$957.44

b)

$840.00

c)

$58.44

d)

$840.57

86.

A Toyota Sienna sells for $41,899. A year later, the value is $36,469. What is the percent change to the nearest tenth of a percent?

a)

12% increase

b)

13% decrease

c)

112% decrease

d)

113% increase

87.

Principal = $500
Interest rate =5%
Time = 5 years
What is the interest earned?

a)

95

b)

105

c)

125

d)

135

Pre-Algebra Midterm Review

Total questions: 87

Worksheet time: 4hrs 21mins

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