Free Printable Midterm Review

1.

Simplify 8/12

a)

2/3

b)

3/4

c)

1/2

d)

4/6

2.

Simplify 12/15

a)

4/5

b)

3/5

c)

6/10

d)

2/3

3.

Solve this mixed number equation:
1⅔ + 1⅚

a)

3 1/2

b)

2 7/6

c)

3 7/6

d)

2 7/9

4.

6 2/5 + 4 1/5 =

a)

10 4/5

b)

10 3/5

c)

10 1/5

d)

10

5.

3/6 + 10/12

a)

1 1/12

b)

13/18

c)

1 4/12

d)

13/12

6.

What is 8/9 - 5/6?

a)

1/18

b)

3/4

c)

6/7

d)

10/12

7.

What is 9/10 - 3/4?

a)

5/7

b)

3/20

c)

3/8

d)

9/10

8.

What is 2/3 x 2/3

a)

4/9

b)

2/3

c)

4/3

d)

4/6

9.

1/2 x 3/4 (simplify if needed)

a)

3/8

b)

3/4

c)

4/6

d)

3/2

10.

2/5 divided by 3/4

a)

8/15

b)

6/20

c)

3/10

d)

3/20

11.

⁴/₉ ÷ ¹/₂

a)

⁸/₉

b)

⁵/₁₁

c)

⁶/₁₀

d)

⁴/₁₈

12.

Change 5 3/4 into an improper fraction

a)

23/4

b)

4/23

c)

20/4

d)

5 4/3

13.

12+(-3)

a)

9

b)

-9

c)

15

d)

-15

14.

-6\ -\ 10\ =\ ?

a)

-4

b)

4

c)

16

d)

-16

15.

7\ -\ 13\ =\ ?

a)

6

b)

-6

c)

20

d)

-20

16.

-7\ \cdot\ -8\ =?

a)

56

b)

-56

c)

42

d)

15

17.

12\ \cdot\ -4\ =?

a)

48

b)

-48

c)

24

d)

8

18.

-72\div12\ =?

a)

8

b)

-8

c)

-6

d)

6

19.

-36\div-4=?

a)

-9

b)

9

c)

12

d)

-12

20.

-3\ -\ \left(-7\right)=?

a)

10

b)

-10

c)

4

d)

-4

21.

In the Sahara Desert one day it was 136°F. In the Gobi Desert a temperature of -50°F was

recorded. What is the difference between these two temperatures?

a)

86°F

b)

186°F

c)

-86°F

d)

-186°F

22.

Which expression is NOT equivalent to -20?

a)

-20/-1

b)

-5-15

c)

(-10)(-2)

d)

20+(-21)

23.

3 + (-6) =

a)

-3

b)

3

c)

-18

d)

18

24.

3 - 9 =

a)

12

b)

6

c)

-6

d)

3

25.

-6 + (-8) =

a)

-14

b)

14

c)

-48

d)

48

26.

-8 / 4 = (divide)

a)

1

b)

2

c)

-2

d)

-4

27.

(24-16)÷8

a)

8

b)

1

c)

2

d)

7

28.

(4x8)-(9+7)

a)

16

b)

25

c)

41

d)

32

29.

(7 x 5) + 5

a)

40

b)

70

c)

17

d)

755

30.

2 + (9²- 4)

a)

16

b)

77

c)

79

31.

Which is equivalent to 3⁴

a)

27

b)

9

c)

81

d)

12

32.

18 + (6 – 2) × 2

a)

26

b)

29

c)

44

d)

40

33.

Evaluate the expression. Write the answer in simplest form.
4/5 + 2/5 ÷ 4

a)

2/5

b)

6/5

c)

9/10

d)

2

34.

Calculate: (1/2 +1/3) - (1/2 -1/3)

a)

3/10

b)

2/3

c)

7/15

d)

3/8

35.

Which number is the BASE?
2³= 8

a)

2

b)

3

c)

8

36.

Which number is the EXPONENT?
4^{2 =}16

a)

4

b)

2

c)

16

37.

Simplify the expression x⁵x⁷

a)

x³⁵

b)

x¹²

c)

x²

d)

x^-2

38.

Evaluate the expression using the quotient rule.

a)

x¹³

b)

x⁵

c)

x³⁶

d)

x^-5

39.

a)

y³/8

b)

y³/24

c)

y/24

d)

y³/8³

40.

(2²y³)⁵

a)

2⁷y⁸

b)

256y⁸

c)

1024y¹⁵

d)

None

41.

Simplify (-4r⁵)(2r⁸)

a)

-8r¹³

b)

-2r¹³

c)

-8r⁴⁰

d)

-2y⁴⁰

42.

$y^5\cdot y^9\cdot y^2$

a)

$16y$

b)

$y^{16}$

c)

$12y$

d)

$y^{12}$

43.

$\left(8x^3\right)\left(-7x^4y^3\right)$

a)

$\frac{8x^3}{7x^4y^3}$

b)

$x^7y^3$

c)

$-56x^7y^3$

d)

$\frac{8}{7xy^3}$

44.

$\frac{15x^9}{3x^6}$

a)

$12x^3$

b)

$5x^3$

c)

$\frac{x^3}{5}$

d)

$\frac{1}{12x^3}$

45.

$\frac{x^{10}y^{10}z^{10}}{x^3y^2z}$

a)

$x^{13}y^{12}z^{11}$

b)

$\frac{1}{x^7y^8z^9}$

c)

$x^7y^8z^9$

d)

$\frac{1}{x^{13}y^{12}z^{11}}$

46.

(5³x²y⁴)⁰

a)

5xy

b)

1

c)

0

d)

5

47.

1.) Simplify
(2a²b⁴z)(6a³b²z⁵)

a)

8a⁵b⁶z⁶

b)

12a⁶b⁸z⁵

c)

12a⁵b⁶z⁶

d)

8a⁶b⁸z⁵

48.

x⁰y⁴z⁷

a)

b)

xy⁴z⁷

c)

y⁴z⁷

d)

Could not simplify

49.

a)

b)

c)

d)

50.

a)

b)

c)

d)

51.

a)

b)

c)

d)

52.

a)

b)

c)

d)

53.

a)

b)

c)

d)

54.

a)

0

b)

1

c)

3

d)

31

55.

a)

b)

c)

d)

56.

a)

a⁶

b)

a^-60

c)

a⁴

d)

a^-7

57.

a)

a⁶b⁴

b)

a⁸b

c)

a⁸b⁴

d)

a²b⁴

58.

Which of these are like terms in the following expression:
3x + 7 - 9x + 24y + 2x²

a)

7, 24y

b)

3x, 9x

c)

3x, -9x

d)

3x, -9x, 2x²

59.

Simplify by combining like terms:
5a + 2b - 3a + 4

a)

8a + 2b + 4

b)

2a + 2b + 4

c)

8ab

d)

4ab + 4

60.

Simplify the expression: 7v + 2 + 12 + 2v

a)

23

b)

23v

c)

9 + 14v

d)

9v + 14

61.

Simplify the following expression:
-10x + 15 - 3x + 2

a)

13x² + 17

b)

-13x² + 13

c)

-13x + 17

d)

-7x + 17

62.

Simplify the following expression:
-6x + 4(-x - 3)

a)

-2x - 12

b)

10x + 12

c)

-10x - 12

d)

-2x + 12

63.

Simplify the following expression:
19 - ( 3 - 5b)

a)

16 + 5b

b)

21 + 5b

c)

16 - 5b

d)

21 - 5b

64.

Simplify the following expression:
-8 (5b + 2) -7 (b - 5)

a)

-33b + 19

b)

-47b² + 21

c)

33b - 19

d)

-47b -19

65.

Find the sum.
(2x² + 5x - 7) + ( 3 - 4x² + 6x)

a)

2x²+ 3x +1

b)

-2x²- 11x -4

c)

2x² + 5x -7

d)

-2x² + 11x -4

66.

Find the difference.
(3- 2x + 2x²) - (4x -5 +3x²)

a)

x_² + 6x + 8

b)

2x²+ 5x - 7

c)

-x²-6x + 8

d)

-2x² + 11x - 4

67.

Multiply the polynomial
4(y-7) + 5y

a)

9y - 7

b)

9y - 28

c)

20y - 28

d)

9y + 28

68.

Find the sum.
(3y² + y³ - 5) + (4y² -4y + 2y³ + 8)

a)

3y³+ 7y²- 4y + 3

b)

4y² + 3y³ - y + 3

c)

-y⁴ + 2y³-y - 4

d)

4y³+ 3y²-3y + 1

69.

Find the difference.
(3- 2x + 2x²) - (4x -5 +3x²)

a)

x_² + 6x + 8

b)

2x²+ 5x - 7

c)

-x²-6x + 8

d)

-2x² + 11x - 4

70.

Simplify the expression.
-3x²( 7x²- x + 4)

a)

-21x⁴ + 3x³ -12x²

b)

7x² - x + 4 (-3x²)

c)

21x⁴+ 3x³+ 12x²

d)

-12x²+ 3x³-21x⁴

71.

What is the degree of the polynomial:
7x³ – 8x² + 9

a)

5

b)

2

c)

6

d)

3

72.

(5x⁴- 4x³- 2x² + x - 19) - (x⁴+ 5x³ + 8x² + x + 5)

a)

4x⁴- 9x³- 10x²- 24

b)

4x⁴- 9x³ - 10x²- 2x - 24

c)

4x⁴ - 9x³ - 10x² + 2x - 24

d)

-4x⁴ - 9x³ - 10x² - 24

73.

What is the perimeter for the given rectangle:

a)

6x³ - 9x² + 10x - 15

b)

6x² + 1x - 15

c)

6x² + 4x + 4

d)

6x³ + 1x² - 15x

74.

Subtract the polynomials.
(3x³ + 3x² + 5) – (x³ – 2x² + x – 4)

a)

4x³ + 5x² + 9

b)

2x³ + 5x² – x + 9

c)

2x³ + 1x – 1x² – 1

d)

2x⁶ +5x⁵ – 1x – 1

75.

What type of polynomial is
4x² - 21x + 5

a)

Monomial

b)

Binomial

c)

Trinomial

d)

Quadranomial

76.

Find the sum.
(2x² + 5x - 7) + ( 3 - 4x² + 6x)

a)

2x²+ 3x +1

b)

-2x²- 11x -4

c)

2x² + 5x -7

d)

-2x² + 11x -4

77.

Find the difference.
(3- 2x + 2x²) - (4x -5 +3x²)

a)

x_² + 6x + 8

b)

2x²+ 5x - 7

c)

-x²-6x + 8

d)

-2x² + 11x - 4

78.

Simplify the expression.
-3x²( 7x²- x + 4)

a)

-21x⁴ + 3x³ -12x²

b)

7x² - x + 4 (-3x²)

c)

21x⁴+ 3x³+ 12x²

d)

-12x²+ 3x³-21x⁴

79.

Simplify:

a)

-4x - 3

b)

x² - 3

c)

-4x² - 6x

d)

-4x - 6

80.

Find the perimeter of the rectangle

a)

P= 10x + 2

b)

P= 12x

c)

P = 12

d)

P = 6x² + 3x

81.

^{The perimeter of the
triangle is 10x+20. Find the length of the missing side}

a)

6x+10

b)

15x+30

c)

5x+10

d)

5x-10

82.

Simplify each expression.
(6x + 4x⁴ - 3x²) + (7x⁴ + 5x² + 8x)

a)

11x⁴ + 2x² + 14x

b)

16x⁴ + x² + 14x

c)

11x⁴ + x² + 14x

d)

11x⁴ + 2x² + 10x

83.

x + 12 = 20

a)

x = 32

b)

x = -32

c)

x = 8

d)

x = -8

84.

Solve the equation
3x = 27.

a)

x = 24

b)

x = 81

c)

x = 9

d)

x = 3

85.

Solve for x:
4x + 1 = 7x - 5

a)

-1

b)

2

c)

6/11

d)

8

86.

Solve for x:
2(3x + 4) + 2 = 4 + 3x

a)

2

b)

-2/3

c)

10

d)

-2

87.

Solve for x:
8x + 2 + 3x + 5 = x + 12

a)

-1/2

b)

2

c)

-2

d)

1/2

88.

Solve for x:

12 = 20x - 8

a)

1

b)

-2

c)

-1

d)

2

89.

Solve the following equation,
x/7 = 14

a)

x = 98

b)

x = 2

c)

x = 21

d)

x = 7

90.

Solve the following equation,
3x + 6 = 21

a)

x = 9

b)

x = 5

c)

x = 15

d)

x = 27

91.

5(2x - 7) = 80

a)

x = 11.5

b)

x = 115

c)

x = 12

d)

x = 16

92.

Solve the following equation,
7x - 9 = 33

a)

x = 24/7

b)

x = 42

c)

x = 24

d)

x = 6

93.

Solve for x:
4x + 1 = 7x - 5

a)

-1

b)

2

c)

6/11

d)

8

94.

Solve for x:
2 - 4x = 3x - 12

a)

2

b)

-14

c)

10

d)

-2

95.

Solve for x:
6(2x + 1) = 18

a)

3

b)

17/12

c)

1

d)

2

96.

What would you multiply to not have any fractions?
½x+4=⅕x+7

a)

2

b)

5

c)

10

d)

20

97.

Simplify:
-4(2x-5)

a)

-8x+20

b)

-8x-20

c)

-2x-9

d)

-8x-9

98.

How many solutions does this equation have? 1/2x + 2 = 3x + 2

a)

One Solution

b)

No Solution

c)

Infinite Solutions

99.

Solve. $\frac{1}{7}k-6=\frac{3}{7}k=4$

a)

$k=\frac{35}{2}$

b)

$k=7$

c)

$k=-35$

100.

Solve each equation. $\frac{3}{4}\left(x-13\right)=-2\left(9+x\right)$

a)

$x=-3$

b)

$x=3$

c)

$x=11$

101.

Consider each operation. Choose all the operation that would eliminate all of the fractions from the equation. $\frac{3}{4}x+\frac{1}{2}=\frac{1}{3}x+3$

a)

Multiply both sides by 6.

b)

Multiply both sides by 12.

c)

Multiply both sides by 24.

102.

Find 250% of 25

(a)

103.

What percent of 60 is 12?

(a)

104.

Find 72% of 325.

(a)

105.

What is the equivalent percent to 0.46?

a)

46%

b)

4.6%

c)

0.46%

d)

460%

106.

What is the equivalent percent to 0.37?

a)

3.7%

b)

37%

c)

370%

d)

0.37%

107.

Rosa and her friends are eating out for dinner. The bill was $45.80. They want to leave a 20% tip. How much should they leave for tip?

a)

$54.96

b)

$45.80

c)

$9.16

d)

$20

108.

The regular price of a sofa is $599.99.
If there is a 20% discount and
the sales tax is 6%
(based on the discounted price),
How much will the sofa cost?

a)

$508.79

b)

$479.99

c)

$635.99

d)

$489.59

109.

Juanita is shopping for a new shirt, and she has narrowed her decision down to two. Both shirts are $35, and both are on sale. Shirt A is 25% off. Shirt B is $10 off. Which shirt is the better deal?

a)

Shirt A

b)

Shirt B

c)

The discount is the same.

d)

The blue one.

110.

Today, you have a 20% off of the price coupon for Best Buy. If you buy an XBox game that costs $65.00, how much money will you be saving by using your coupon?

a)

$13.00

b)

$15.00

c)

$7.00

d)

$42.00

111.

Mitch used 15% of his monthly savings to buy a guitar. If the cost of the guitar is $80, how much did he save that month?

a)

$533

b)

$12

c)

$350

d)

$500

112.

Which equation best represents the relationship between x and y in the table shown?

a)

y= 5x+5

b)

y=1/5x+5

c)

y=15x+5

d)

y=10x+5

113.

A dog walker earns $10 each day plus $3 per dog. What equation represents this model?

a)

y=3x + 10

b)

y=10x + 3

c)

y=13x

d)

y=10x - 3

114.

Which equation matches the table?

a)

y = x + 5

b)

y = 5x

c)

y = x - 5

d)

x = y - 5

115.

Bowling costs $4 for shoe rental plus $5 for every game. Which equation shows how much it costs to go bowling for x games?

a)

y = 5x + 4

b)

y = 4x + 5

c)

y = 4(5)x

d)

y = 5x - 4

116.

Charlie starts with $350 in his savings account. He withdraws $15 per week from his account. What is the starting point or y-intercept for this situation?

a)

15

b)

350

c)

-15

d)

-350

117.

The multiplier (RoC) for this pattern

a)

4

b)

3

c)

7

d)

2

118.

How many tiles would be in position 100?

a)

303

b)

300

c)

15

d)

100

119.

Which statement is not true? (assume we start at position 1)

a)

The RoC is 5

b)

the initial value is 2

c)

The rule is T=5xP + 2

d)

the RoC is 7.

120.

What does the fish look like at birth?

a)

2 orange tiles and 2 red tiles

b)

2 red tiles

c)

2 orange tiles

d)

No tiles at all

121.

How many blocks will be in the 4th term?

a)

The next term will have 16 blocks

b)

The next term will have 15 blocks.

c)

The next term will have 14 blocks.

d)

This is the end of the pattern.

122.

How many counters would come next?

a)

5

b)

7

c)

9

d)

11

Midterm Review

Total questions: 122

Worksheet time: 31hrs 30mins

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