Free Printable Milestone Review-Equations and Expressions

1.

Which equation has x = 5 as the solution?

a)

x + 15 = 10

b)

2x = 5

c)

2x = 10

2.

x + 12 = 20

a)

x = 32

b)

x = -32

c)

x = 8

d)

x = -8

3.

Which equation has x = 5 as the solution?

a)

x + 15 = 10

b)

2x = 5

c)

2x = 10

4.

x + 12 = 20

a)

x = 32

b)

x = -32

c)

x = 8

d)

x = -8

5.

5m = 10 solve for m

a)

50

b)

15

c)

5

d)

2

6.

Solve for the missing variable:

a)

m = 5

b)

m = 1/5

c)

m = 25

d)

m = 55

7.

x - 16= 15

a)

2

b)

0

c)

-1

d)

31

8.

Solve the equation:

5x = 25

a)

x = 20

b)

x = -20

c)

x = -5

d)

x = 5

9.

how would you solve this equation: 9x=153?

a)

multiply by 9 on both sides

b)

divide by 9 on both sides

c)

add 9 to both sides

d)

subtract 9 from both sides

10.

m - 5 = 10

a)

-15

b)

15

c)

-5

d)

5

11.

What is the inverse operation of division?

a)

Division

b)

Multiplication

c)

Addition

d)

Subtraction

12.

What is the inverse operation of subtraction?

a)

addition

b)

subtraction

c)

multiplication

d)

division

13.

What is the correct step to solve for the variable?
15 = m - 5

a)

add 15 to both sides

b)

add 5 to both sides

c)

subtract 15 from both sides

d)

subtract 5 from both sides

14.

What is the inverse operation of division?

a)

Division

b)

Multiplication

c)

Addition

d)

Subtraction

15.

x ÷ 2 = 12

a)

x = 24

b)

x = 6

c)

x = 20

d)

x = 10

16.

Solve the equation
3x = 27.

a)

x = 24

b)

x = 81

c)

x = 9

d)

x = 3

17.

10x = 90

a)

x = 80

b)

x = 100

c)

x = 10

d)

x = 9

18.

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.

19.

17 = x + 3

a)

x = 20

b)

x = 14

c)

x = 13

d)

x = 19

20.

Solve for x:

a)

x = 20

b)

x = 7

c)

x = 10

d)

x = 3

21.

Solve the equation:
4p = 16

a)

p = 12

b)

p = -12

c)

p = -4

d)

p = 4

22.

y/3=12

a)

36

b)

-36

c)

4

d)

-4

23.

3(x+2) = 15

a)

13

b)

7

c)

4.33333

d)

3

24.

Solve: 13 = t + 7

a)

5

b)

6

c)

7

d)

20

25.

Solve: a - 5 = 9

a)

14

b)

9

c)

5

d)

4

26.

Write an expression equivalent to 5(d+1)

(a)

27.

Write an equivalent expression to 3(n+6)

(a)

28.

Write an expression equivalent to 4(2p+4q)

(a)

29.

Complete the equation using The Distributive Property.

3(2x + 4) = (a)

2(3x + 2) = (b)

2(x + 1) = (c)

Choose from the below words

6x + 12

6x + 4

2x + 2

30.

Match the following expressions.

a)

4(2x + 6)

1.

8x + 24

b)

8x + 6

2.

2(4x + 3)

c)

2(3x + 10)

3.

6x + 20

d)

6x + 10

4.

2(3x + 5)

e)

5(x + 2)

5.

5x + 10

31.

True of False?

3(2f + g + 4) is equivalent to 6f + 3g +12

a)

True

b)

False

32.

Write an equivalent expression for 18 + 27 by factoring out the GCF.

(a)

33.

Which expression is equal to 16a + 24b?

a)

4(4a + 20b)

b)

8(2a + 3b)

c)

4a(4 + 6b)

d)

8ab(2 + 3)

34.

Apply the distributive property to factor out the greatest common factor (GCF).

30x + 40y

(a)

35.

Simplify the expression.

5x + 3 - 2x + 1

(a)

36.

Simplify the following expression by combining like terms:

3v + 7v +9v

(a)

37.

Which of the following expressions is equivalent to the expression

d + d + d + d

a)

4 + d

b)

4d

c)

$d^2\ +\ d^2$

d)

$d^4$

38.

True of false?

x + 2y + 3z is equivalent to z + y + z + x + y + z

a)

True

b)

False

39.

Which expression is equivalent to

5y + 2y + 6x + 2y - x

a)

5x + 6y

b)

5x + 7y

c)

5x + 9y

d)

7x + 7y

40.

Simplify this expression by combining like terms:

4x + 2y - 3x + x + 5y

(a)

41.

Combine like terms:

$2x^2\ +\ 3x\ +5x^2\ -2x\ +\ x^2\ +\ x$

a)

$8x^2\ +\ 6x$

b)

$10x^2$

c)

$8x^2\ +\ 2x$

d)

$7x^2\ +\ 2x$

42.

Challenge! Combine like terms:

$2x\ +3x\ +\ 4\left(x-2\right)$

(a)

43.

In the following expression, how many terms are there?

5x³ - 7x + 11

a)

1

b)

2

c)

3

d)

4

44.

In the following expression, the number 11 is an example of a ____________?

5x³ - 7x + 11

a)

term

b)

constant

c)

coefficient

d)

variable

45.

In the following expression, the number 7 is an example of a ____________?

5x³ - 7x + 11

a)

term

b)

constant

c)

coefficient

d)

variable

46.

What are the like terms in the following expression?

7x + 8 - 6x² + 2x

a)

7 and 2

b)

7x, 8, 6x², 2x

c)

7x and 2x

d)

7x, 6x², 2x

47.

Simplify.

5a + 2b - 3a + 4

a)

8a + 2b + 4

b)

2a + 2b + 4

c)

8ab

d)

4ab + 4

48.

Simplify.

7v + 2 + 12 + 2v

a)

23

b)

23v

c)

9 + 14v

d)

9v + 14

49.

Simplify.

4x² + 3x + 11 - 2x

a)

4x² + x + 11

b)

11x + 11

c)

16x² - 5x + 11

d)

10x²

50.

Simplify.

5(2 - 7n)

a)

52 - 7n

b)

10 - 7n

c)

10 - 35n

d)

10 + 35n

51.

Simplify.

19 + (3 + 5b)

a)

22 + 5b

b)

19 + (3 + 5b)

c)

19 + 8b

d)

22 + 24b

52.

Simplify.

9a + 10(2a + 1)

a)

21a + 1

b)

9a +21

c)

29a +10

d)

39a

53.

Simplify.

5x + 3y + 5 + 4x + 3y + y + 8

a)

9x + 7y + 13

b)

6x + 2y + 2

c)

25x + 2y + 3

d)

x + 7y + 12

54.

What does it mean to solve an equation? Select the best definition.

a)

To find the answer.

b)

To simplify the equation.

c)

To find the value of the variable.

d)

To find the value of the variable that makes the equation true.

55.

Simplify: x + 3x + 6x + x

a)

9x

b)

11x

c)

2x + 9x

d)

Can't be simplified

56.

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

a)

12tq

b)

3q + 4t

c)

7q + 5t

d)

Can't be simplified

57.

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

a)

13w + 4d

b)

17wd

c)

13w + 3d

d)

Can't be simplified

58.

Simplify: m + m + m + m

a)

4m

b)

m⁴

c)

m

d)

Can't be simplified

59.

3 + 5x + 4

a)

5x ∙ 7

b)

12x

c)

35x

d)

5x + 7

60.

Simplify the expression: 2x + 1 + 7x

a)

10x

b)

10

c)

9x + 1

d)

9 + 1x

61.

What is the constant in the expression 3x + 2y + 7 ?

a)

3

b)

2y

c)

7

d)

2

62.

How many terms are in the expression
3x + 2y + z

a)

5

b)

2

c)

4

d)

3

63.

What is the variable in the expression 3x + 9 ?

a)

x

b)

y

c)

9

d)

3x

64.

A number by itself with no variable attached is called a _____.

a)

coefficient

b)

constant

c)

variable

d)

term

65.

The number in front of a variable is the _____.

a)

term

b)

constant

c)

coefficient

d)

variable

66.

What is the coefficient in the algebraic expression?

a)

4x

b)

4

c)

5

d)

9

67.

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

a)

21pyt

b)

12p + 5t + 4y

c)

8p + 11y + 2t

d)

21y

68.

Which expression is equivalent to: 4d + 3 + d + 2 + d

a)

6d + 5

b)

5d + 5

c)

12d

d)

12d + 4

69.

2r + 2 + 5r + 2 + r

a)

8r + 4

b)

8r - 4

c)

12r

d)

7r + 4 + r

70.

$\left(8+3-6\right)\div5$

a)

7

b)

0

c)

1

d)

16

71.

$8\cdot5-4+7$

a)

30

b)

43

c)

29

d)

42

72.

$27\div9+12\div4$

(a)

73.

$10\cdot\left(6+3\right)\div2$

a)

60

b)

45

c)

31.5

d)

44

74.

$8\cdot2+5-6$

(a)

75.

$8+7\cdot\left(4-3\right)$

a)

14

b)

30

c)

33

d)

15

76.

$10+5\cdot\left(9-4\right)$

a)

35

b)

250

c)

51

d)

50

77.

$\left(9-6+5\right)\div2$

a)

4

b)

5

c)

6

d)

7

78.

$10\cdot7+3-4$

(a)

79.

$15+3\cdot7-9$

(a)

80.

Which operation should you perform first in the expression

4\times6-3

a)

addition

b)

multiplication

c)

subtraction

d)

division

81.

Which operation should you perform first in the expression

1+8\div2

a)

addition

b)

subtraction

c)

multiplication

d)

division

82.

Which operation should you perform first in the expression

\left(2+5\right)\ -\ 4^2

a)

addition

b)

multiplication

c)

parenthesis

d)

subtraction

83.

Which operation should you perform first in the expression

7\div7^{3\ }\times7

a)

division

b)

exponent

c)

multiplication

d)

addition

84.

Which operation should you perform first in the expression

8^2\div\left(8-4\right)^2

a)

exponent

b)

parenthesis

c)

division

d)

subtraction

85.

Which operation should you perform first in the expression

-4+3^3\div5

a)

exponent

b)

division

c)

addition

d)

subtraction

86.

What is the value of the expression

7 + 8 - 2

a)

9

b)

31

c)

13

d)

14

87.

What is the value of the expression

9 + (12 - 10)

a)

9

b)

40

c)

13

d)

11

88.

What is the value of the expression
$\left(20-15\right)\times2$

a)

9

b)

40

c)

10

d)

16

89.

$10\div5+7$

What is the value of the expression

a)

13

b)

12

c)

12

d)

9

90.

$6+2\times3$

What is the value of the expression

a)

12

b)

24

c)

16

d)

10

91.

What is the value of the expression

\left(2\times4\right)+8

a)

14

b)

16

c)

9

d)

10

92.

What is the value of the expression

14+2\times0

a)

0

b)

40

c)

14

d)

9

93.

What is the value of the expression

\left(5-1\right)\times10

a)

50

b)

10

c)

15

d)

40

94.

A sixth-grade student bought three cans of tennis balls for $4 each. Sales tax for all three cans was $0.95. Write an expression to show the total amount the student paid.

a)

$3\times4+.95$

b)

$3\times.95\times4$

c)

$\left(3\times4\right)\times.95$

d)

$\left(4\times.95\right)+3$

95.

Sam bought two CDs for $13 each. Sales tax for both CDs was $3. How much did Sam pay in all?

a)

$18

b)

$78

c)

$29

d)

$14

Milestone Review-Equations and Expressions

Total questions: 95

Worksheet time: 1hrs 29mins

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