Free Printable Module 6 Study Guide

1.

$2x\ -\ 2=34$

a)

$x=18$

b)

$x=16$

c)

$x=19$

d)

$x=15$

2.

Which expression is equivalent to
v + v + v + v + v?

a)

5v

b)

v⁵

c)

v + 5

d)

v5

3.

Which expression is equivalent to:
d + d + d + 3 + 2

a)

3d + 5

b)

d + 5

c)

2d + 7

d)

3d + 4

4.

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

a)

8a + 2b + 4

b)

2a + 2b + 4

c)

8ab

d)

4ab + 4

5.

-r -10r

a)

11r

b)

-11r

c)

9r

d)

-11

6.

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

a)

23

b)

23v

c)

9 + 14v

d)

9v + 14

7.

n +10 +9n -3=

a)

-3

b)

9n-3

c)

n

d)

10n + 7

8.

Combine like terms
3x + 2x + 11y - 7y

a)

5x + 10y

b)

5x - 4y

c)

5x + 4y

d)

5x -10y

9.

Simplify: x + 3x + 6x + x

a)

9x

b)

11x

c)

2x + 9x

d)

Can't be simplified

10.

Simplify: 7t - 3t + t - 3t

a)

2t

b)

8t - 6t

c)

14t

d)

Can't be simplified

11.

Simplify: 4q + 4t + 3q + t

a)

12tq

b)

3q + 4t

c)

7q + 5t

d)

Can't be simplified

12.

Simplify: 4k + 6k - 3k + 3s - s

a)

13k + 3s

b)

7k + 2s

c)

7k + 4s

d)

Can't be simplified

13.

Simplify: 10d - 3d + 2e + 4d

a)

11d + 2e

b)

17d + 2e

c)

19de

d)

Can't be simplified

14.

Simplify: 10w + 3d + 3w + d

a)

13w + 4d

b)

17wd

c)

13w + 3d

d)

Can't be simplified

15.

Simplify: m + m + m + m

a)

4m

b)

m⁴

c)

m

d)

Can't be simplified

16.

Simplify: 5p + 7y + 2t - 3p + 4y

a)

15pyt

b)

2p + 11y + 2t

c)

8p + 11y + 2t

d)

Can't be simplified

17.

2(c - 8)

a)

2c - 16

b)

2c + 16

c)

2c - 8

d)

c - 16

18.

3(2c - 5)

a)

6c - 15

b)

6c + 15

c)

6c + 15

d)

-6c - 15

19.

e(f + g) is equivalent to:

a)

ef + g

b)

f + g

c)

f + eg

d)

ef + eg

20.

Which of the following is equivalent to 5(a + 6)?

a)

5a + 6

b)

a + 30

c)

5a + 30

d)

5a - 30

21.

Which of the following is equivalent to 5(2x + 3)?

a)

52x + 53

b)

7x + 10

c)

10x + 15

d)

10x + 3

22.

Which is equivalent to 5(a + 6)?

a)

5a + 6

b)

a + 30

c)

5a + 30

d)

5a - 30

23.

Which of the following is equivalent to
9(5c + 4)?

a)

45c + 36

b)

81c

c)

45c + 4

d)

49c

24.

Simplify:
7(y - 3)

a)

7y - 21

b)

7y - 3

c)

7y + 3

d)

7y + 21

25.

Which of the following is equivalent to 4x + 28

a)

4(x + 7)

b)

4(x + 28)

c)

4x + 7

d)

4(x + 24)

26.

Which of the following expressions is equivalent to 10x - 8?

a)

2(5x - 8)

b)

10(x - 8)

c)

8(2x - 1)

d)

2(5x - 4)

27.

Distribute the following:
10(z - 6)

a)

10z - 60

b)

10z + 60

c)

-10z - 60

d)

-10z + 60

28.

6(x + 3y) is equivalent to:

a)

6 + 18y

b)

6x + 18

c)

24xy

d)

6x + 18y

29.

2(c - 8)

a)

2c - 16

b)

2c + 16

c)

2c - 8

d)

c - 16

30.

4(p - 6)

a)

-4p - 24

b)

4p + 24

c)

4p + 24

d)

4p - 24

31.

3(2c - 5)

a)

6c - 15

b)

6c + 15

c)

6c + 15

d)

-6c - 15

32.

4(k + 7)

a)

4k + 28

b)

4k - 28

c)

-4k + 28

d)

4k - 28

33.

9(2g + 3)

a)

18g + 27

b)

18g - 27

c)

-18g - 27

d)

18g - 18

34.

(b + 8)5

a)

b + 40

b)

5b - 40

c)

5b + 40

d)

5b + 8

35.

10(8-2x)

a)

80-20x

b)

80+20x

36.

3(6x-5)

a)

18x-15

b)

18x+-15

c)

9+15x

d)

9x-15

37.

5(2x-11)

a)

-10x-55

b)

10x-55

c)

55-10x

d)

10x+55

38.

Which of the following is equivalent to 5(2x + 6)?

a)

10x + 30

b)

10x + 6

c)

40x

d)

2x + 30

39.

(x - 6)4

a)

24 - 4x

b)

4x - 6

c)

x - 24

d)

4x - 24

40.

Which of the following is equivalent to 6(8x -2)?

a)

48x - 6

b)

48x - 12

c)

36x

d)

42x

41.

Which of the following is equivalent to 9(5c + 4)?

a)

45c + 36

b)

81c

c)

45c + 4

d)

49c

42.

10(3y+1)

a)

13y+11

b)

30y+10

c)

10y+1

43.

5(4j+2)

a)

20j+10

b)

5j+10

c)

9j+7

44.

9(3w+1)

a)

27w+9

b)

12w+10

c)

9w+1

45.

What is the inverse operation of division?

a)

Division

b)

Multiplication

c)

Addition

d)

Subtraction

46.

What is the inverse operation of subtraction?

a)

Subtraction

b)

Multiplication

c)

Division

d)

Addition

47.

What is the solution for x + 9 = 21

a)

10

b)

12

c)

11

d)

13

48.

Solve for b
2b = -16

a)

8

b)

4

c)

-8

d)

3

49.

a)

x = 20

b)

x = 7

c)

x = 10

d)

x = 3

50.

x - 8 = -5

a)

13

b)

-13

c)

3

d)

-3

51.

m+13=21

a)

m=34

b)

m=8

c)

m=273

d)

m=6

52.

Solve for y:
y - 7 = 10

a)

17

b)

-3

c)

3

d)

-17

53.

k+8=15

a)

k=23

b)

k=10

c)

k=7

d)

k=11

54.

2. Cheryl gets paid $8 per hour for her job at the record store. She made a total of $96 last week. Which equation models this situation?

a)

96h = 8

b)

h/96 = 8

c)

8h = 96

d)

h/8 = 96

55.

Martha baked cupcakes for 3 different classes. If each class needs 24 cupcakes which equation could be used to find x, the total number of cupcakes Martha will bake?

a)

3x=24

b)

x/3=24

c)

24x =3

d)

x/24 =3

56.

Solve:

a)

96

b)

-96

c)

4

d)

-4

57.

Solve:

a)

-12

b)

-8

c)

12

d)

8

58.

Solve for y in the following equation:

y - 33 = 147

a)

y = 114

b)

y = 177

c)

y = 180

d)

Answer not Given

59.

x + 12 = 20

a)

x= 32

b)

x = 12

c)

x = 8

d)

42

60.

What is the solution of 42 = 7f?

a)

294

b)

35

c)

49

d)

6

61.

What is the first step in solving the following equation? $3x-5=20$

a)

multiply both sides by 5

b)

add 5 to both sides

c)

divide both sides by 5

d)

subtract both sides by 5

62.

Solve for x.

$9x-7=-7$

a)

4

b)

0

c)

5

d)

-1.56

63.

Solve the equation for m.

$-15=-4m+5$

a)

4

b)

7

c)

5

d)

2.5

64.

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.

65.

Solve the equation.

$7x+12=103$

a)

13

b)

84

c)

91

d)

8

66.

Level 2

Solve for a

a)

a= -2

b)

a= -7.5

c)

a= 2

d)

a= 6

67.

Level 3

Solve for a

a)

a= 9

b)

a= -9

c)

a= -5

d)

a= 5

68.

Level 3

Solve for x

a)

x = 2

b)

x = -2

c)

x = -10

d)

x = 4

69.

Level 3

Identify the steps to solve for b

a)

Add 6 to both sides and divide both sides by 5

b)

Add 6 to both sides and multiply both sides by 5

c)

Subtract 6 from both sides then multiply both sides by 5

d)

Subtract 6 from both sides then divide both sides by 5

70.

13= 5m -2

a)

-3

b)

2

c)

3

d)

-2

71.

7k - 14 = 42

a)

7

b)

-8

c)

0

d)

8

72.

13 = 11 - 4x

a)

-2

b)

1/2

c)

-1/2

d)

2

73.

3c + 5 = 23

a)

c = 3

b)

c = 6

c)

c = 7

d)

c = 18

74.

-4x+1=21

a)

x=120

b)

x=5

c)

x=30

d)

x=-5

75.

Solve. -3x - 12 = 15

a)

9

b)

-1

c)

27

d)

-9

76.

9 = 2s + 1

a)

4

b)

-4

c)

3.5

d)

5

77.

3n + 4 = 7

a)

1

b)

-1

c)

3.67

d)

2

78.

-5 = 3m - 14

a)

3

b)

-3

c)

12

d)

-6.3

79.

0 = 8z + 8

a)

-1

b)

1

c)

0

d)

8

80.

Figure out what n equals in this equation:
6n + 4 = -26

a)

n=-6

b)

n= -5

c)

n= 8

d)

n= -4

81.

4x + 7 = 23

a)

x = 16

b)

x = 4

c)

x = 9

d)

x = 12

82.

y/3=12

a)

36

b)

-36

c)

4

d)

-4

83.

6p - 5 =13

a)

12

b)

15

c)

3

d)

-3

84.

4 + k/2 = -3

a)

14

b)

-14

c)

4

d)

-2

85.

The objective when solving an equation is to....

a)

isolate the variable.

b)

check the solution.

c)

guess and check.

d)

hope you get the right answer.

86.

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.

Module 6 Study Guide

Total questions: 86

Worksheet time: 1hrs 5mins

Similar Resources on Wayground