Free Printable M8 Unit 3 Review (Solving Equations)

1.

Simplify by combining like terms:
4x² - 3x + 11 -2x

a)

4x² - 5x + 11

b)

11x + 11

c)

16x² - 5x + 11

d)

10x²

2.

Simplify the following expression:
-7x +5 (1 - 8x)

a)

-33x + 5

b)

5 + 33x

c)

47x + 5

d)

5 - 47x

3.

Simplify the following expression:
-7x +5 (1 - 8x)

a)

-33x + 5

b)

5 + 33x

c)

47x + 5

d)

5 - 47x

4.

What is the solution for x + 9 = 21

a)

10

b)

12

c)

11

d)

13

5.

Solve for b
2b = -16

a)

8

b)

4

c)

-8

d)

3

6.

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

7.

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

8.

Write the expression.
Twelve fewer questions than were on the first test.

a)

12 + q

b)

q - 12

c)

q x 12

d)

q ÷ 12

9.

Solve:

a)

96

b)

-96

c)

4

d)

-4

10.

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.

11.

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

12.

$\frac{x}{4}+8=10$

a)

$x=-4$

b)

$x=-8$

c)

$x=8$

d)

$x=16$

13.

The steps in solving 5b - 6 = 24 are:

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

14.

5x - 4 + 2x = 3

a)

1

b)

2

c)

3

d)

4

15.

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

a)

4

b)

3

c)

2

d)

1

16.

Solve for x.

a)

55

b)

60

c)

15

d)

35

17.

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

a)

4

b)

3

c)

2

d)

1

18.

-11 + 3(b + 5) = 7

a)

1

b)

-1

c)

3

d)

-3

19.

Solve for x.

a)

55

b)

60

c)

15

d)

35

20.

10 + 2x = 16

a)

2

b)

3

c)

4

d)

1

21.

What is the first step in solving the equation 2a - 4(a - 5) = 10

a)

Add 4 to both sides

b)

Add the 2a and a

c)

Distribute 4 to a and -5

d)

Distribute -4 to a and -5

22.

5(x - 3) + 2x = 27

a)

x = 3

b)

x = 42/15

c)

x = 30/7

d)

x = 6

23.

What is the first step you should take to solve this problem?

1 + 4n - 6n = 1 - 8n

a)

subtract 8n to both sides

b)

multiply 6n to both sides

c)

combine the like terms 4n + -6n

24.

Jacob solved the following equation using the steps shown.

Step 1 5x + 9 = 2x - 3

Step 2 3x + 9 = -3

Step 3 3x = -12

Step 4 x = -4

What operation did he perform to get from Step 1 to Step 2?

a)

Subtracted 2x from both sides of the equation

b)

Subtracted 9 from both sides of the equation

c)

Multiplied both sides of the equation by 3

d)

Added -3 to both sides of the equation

25.

Solve:
7w + 5 = 3w - 15

a)

5

b)

-2

c)

2

d)

-5

26.

Solve:

5x + 4 = 5x − 3

a)

x = 4

b)

x = -3

c)

infinitely many solutions

d)

no solutions

27.

Solve:

2y − 3 = 2y − 3

a)

y = 0

b)

y = -3

c)

infinitely many solutions

d)

no solutions

28.

Solve:

4x + 1 = 8x − 3

a)

x = 1

b)

x = 2

c)

infinitely many solutions

d)

no solutions

29.

Solve:

6(y + 4) = 6y + 10

a)

y = 10

b)

y = 24

c)

infinitely many solutions

d)

no solutions

30.

Solve:

9x + 7 − 5x = 4x − 7

a)

x = 7

b)

x = -7

c)

infinitely many solutions

d)

no solutions

31.

What is the best first step to solve this equation

5 (x-4) + 3x -2 = 4 (2x-1)

a)

Subtract 3x

b)

Combine Like Terms

c)

Distribute the 5 & 4

d)

Add 2

32.

Solve for x

6 (x-1) = 6

a)

x = 2

b)

x = -2

c)

x = 7

d)

x = -7

33.

Write an equation

John and Mary decide to race. John has a 300 ft head start, and runs at a pace of 250ft per minute. Mary runs at a pace of 400 ft per minute. How long before Mary catches up to John?

a)

250 + 300m = 400

b)

300m + 400 = 250m

c)

250 + 400m = 300m

d)

300 + 250m = 400m

34.

Solve for x

2x - 12 = -5x +4x

a)

x = 3

b)

x = 4

c)

x = -3

d)

x = -4

35.

Write an equation

A bucket filled with 300oz of water is poured into an empty bucket at a rate of 7oz per second. How long before both buckets have the same amount of water?

a)

300x - 7 = 0

b)

300 - 7x = 7x

c)

7x = 300 - 7

d)

7x - 7x = 300

36.

Simplify

1/3 (6x + 9y - 15)

a)

6x + 9y - 15

b)

2x + 3y + 5

c)

3x + 3y - 3

d)

2x + 3y - 5

37.

Combine Like Terms

3a + 5b - 3 + 2 (a-4) - b

a)

5a + 4b - 11

b)

4a + 6b - 7

c)

6b - 11

d)

5a + 6b + 5

38.

Write & solve an equation

Bowman had 30 pieces of candy and gave away x pieces. Rose started with 40 pieces of candy and gave away twice as many pieces as Bowman. How many pieces did Bowman give away if they ended up with the same amount of candy left?

a)

40 + 2x = 30 + x

x= 3

b)

30 - x = 40 - 2x

x= -10

c)

30 - 2x = 40 - x

x= 3

d)

30 - x = 40 - 2x

x= 10

39.

Solve for x

12 = -4 (-6x - 3)

a)

x = 2

b)

x = 0

c)

x = -2

d)

not possible

40.

$\frac{x+6}{5}\ =\ 10$

What is the first step?

a)

Subtract 6

b)

Subtract 10

c)

Multiply by 5

d)

Divide by 5

41.

Simplify

- (x + 2) + 3x + 8

a)

4x + 10

b)

2x + 6

c)

-4x - 10

d)

16

42.

Write an equation

Christian has $1200 set aside in a savings account and earns $400 each week. If Christian donates $200 to charity, and spends $410 each week, how many weeks can he continue to spend without running out of money?

a)

1200 + 400w = 200 + 410w

b)

1200 - 400w = -200 + 410w

c)

1200w - 400 = 200w - 410

d)

1200 + 410w = 200 + 400w

43.

Reorder the following steps to solve for x

5(x-4) + 3x -1 = 10x -2

a)

Combine like terms

b)

Distribute the 5

c)

Subtract 8x

d)

Add 3

e)

Divide by 2

1)

2)

3)

4)

5)

44.

Solve for x

5x - (2x + 2) = 5

a)

x = 1

b)

x = 3

c)

x = -1

d)

x = 5

45.

Write an equation

Tamera has two amusement parks to choose from. The first charges $8 per hour, and they give a $3 student discount off the total price. The second charges $7.25 per hour. How many hours would Tamera have to stay at each park for the cost to be the same?

a)

3x + 8 = 7.25

b)

8x - 3 = 7.25x

c)

7.25x + 3x = 8

d)

8x + 3 = 7.25x

46.

What is the solution of 9 + k = 18

a)

18

b)

9

c)

8

d)

7

47.

What is the solution of 3w = 30

a)

6

b)

9

c)

10

d)

12

48.

What is the solution of 13 = t + 7

a)

5

b)

6

c)

7

d)

20

49.

-3a + 8 = 14

a)

a= -2

b)

a= -7.5

c)

a= 2

d)

a= 6

50.

33 = 4a - 7

a)

a=-10

b)

a=10

c)

a=4.5

51.

8v - v + 8 = 22

a)

2

b)

10

c)

4

d)

-4

52.

2x - 3 + 4x = 27

a)

12

b)

4

c)

5

d)

15

53.

11 + 3b + 5 = 46

a)

10

b)

-1

c)

3

d)

-3

54.

0 = 8z + 8

a)

-1

b)

1

c)

0

d)

8

55.

Solve for y:
2y + 7 = 11

a)

y = 2

b)

y = 1

c)

y = 9

d)

y = 4

56.

Solve for x:
4x + 5x = 27

a)

x = 27

b)

x = 3

c)

x = -27

d)

x = 0

57.

Solve for m:
3m - 4 = 5m + 10

a)

m = 3

b)

m = 9

c)

m = -7

d)

m = 7

58.

Solve for f:
f + 12 = 3f - 20

a)

f = 32

b)

f = -32

c)

f = 16

d)

f = -16

59.

Solve:
-8 + 5x - 2 = 20

a)

6

b)

-6

c)

2

d)

-2

60.

What is the first step to solve this equation:

- 3x -11 = 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.

61.

Solve for x:

2x - 3 = 1

a)

x = 3

b)

x = 2

c)

x = 1

d)

x = -2

62.

Solve for x:

2x - 3 + 4x = 27

a)

x = 12

b)

x = 4

c)

x = 5

d)

x = 15

63.

Solve for x:
8x - 10 = -34

a)

4

b)

3

c)

-3

d)

-24

64.

What is the first step in solving this equation:
5x + 7 = 12

a)

Divide by 5

b)

Subtract 5

c)

Multiply by 7

d)

Subtract 7

65.

Solve for n:

4n+n+4=14

a)

6

b)

8

c)

-8

d)

2

66.

12x = 144

a)

x = 12

b)

x = 4

c)

x = 2

d)

x = 132

67.

4a + 3 = 15

a)

2

b)

4

c)

1

d)

3

68.

Which equation has x = 2 as a solution?

a)

3 + x = 10

b)

11 + x = 13

c)

4x = 32

d)

5x =25

69.

y + 8 = 20

a)

10

b)

11

c)

12

d)

13

70.

k - 10 = 7

a)

-3

b)

3

c)

17

d)

- 17

71.

3p - 1 = 5

a)

3

b)

2

c)

1

d)

0

72.

27 = 5r + 2

a)

5

b)

- 5

c)

5.8

d)

- 5.8

73.

2(u - 9) = 4

a)

10

b)

11

c)

12

d)

13

74.

15 + 4a - 6 = 21

a)

1

b)

2

c)

3

d)

4

75.

Simplify:
5(3x+1)

a)

15x+1

b)

15x+5

c)

8x+1

d)

8x+6

76.

Solve for b:
.5b + 4 = 20

a)

8

b)

48

c)

24

d)

32

77.

Solve for the given variable:

5k + 9 = 19

a)

k = 3

b)

k = -5

c)

k = 2

d)

k = 6

78.

m - 7 + 5m = 11

a)

m = 6

b)

m = -2

c)

m = 4

d)

m = 3

79.

The steps in solving 5b - 6 = 24 are:

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

80.

y + x + y + y + x

a)

2 + 3

b)

x + y

c)

2x + 3y

d)

5xy

81.

3(x+2) = 15

a)

13

b)

7

c)

4.33333

d)

3

82.

$\frac{x}{2}=-10$

a)

-10

b)

20

c)

-20

d)

-5

83.

Use the Distributive Property to solve the equation.
4( x + 2) = 16

a)

-2

b)

0

c)

1

d)

2

84.

a)

x = 20

b)

x = 7

c)

x = 10

d)

x = 3

85.

What equation is modeled here?

a)

x - 6 = 13

b)

x + 6 = 12

c)

x + 6 = 13

d)

x6 = 13

86.

What is the first step in solving the equation 2a - 4(a - 5) = 10

a)

Add 4 to both sides

b)

Add the 2a and a

c)

Distribute 4 to a and -5

d)

Distribute -4 to a and -5

87.

8 = (³⁄₄)a +12 - a + 4

a)

32

b)

-6

c)

-4

d)

4

88.

4(a + 3) = -32

a)

-11

b)

-44

c)

-20

d)

-8

89.

Which step is incorrect?

120 = 4(7a+2)

Step 1 Distribute

120 = 28a + 8

Step 2 Subtract 8 from both sides

112 = 28a

Step 3 Divide both sides by 28

a=4

a)

Step 1

b)

Step 2

c)

Step 3

d)

Problem is worked correctly

90.

Which step is incorrect?

120 = -4(7a+2)

Step 1: 120 = -28a - 8

Step 2: 112 = -28a

Step 3: a=-4

a)

Problem is correct

b)

step 1

c)

step 2

d)

step 3

91.

8v - 4(v + 8) = 8

92.

2x - 3 + 4x = 27

93.

5x - 4 + 2x = 3

94.

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

95.

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

96.

-11 + 3(b + 5) = 7

97.

Solve for x.

98.

What is the solution? (a)

Choose from the below words

x = 96

x = 4

x = 6

x = 144

99.

What is the first step in solving the equation 2a - 4(a - 5) = 10 (a)

Choose from the below words

Distribute -4 to a and -5

Add 4 to both sides

Add the 2a and a

Distribute 4 to a and -5

100.

Which equation has a solution of 24? (a)

Choose from the below words

-48 + 12 + x = -12

-14 + 12 + x = -12

-31x - 41x = -48

-46x + 48x = 12

101.

What is the inverse operation of multiplication? (a)

Choose from the below words

multiplication

addition

subtraction

division

M8 Unit 3 Review (Solving Equations)

Total questions: 101

Worksheet time: 13hrs 34mins

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