Free Printable Algebraic Expressions (Unit 7)

1.

Evaluate the expression when x = 3. 2x + 5

a)

11

b)

7

c)

15

d)

9

2.

Evaluate the expression when y = 4: 3y - 7

a)

2

b)

11

c)

5

d)

0

3.

Evaluate the expression when z = 2: 4z + 9

a)

6

b)

13

c)

22

d)

17

4.

Evaluate the expression when a = 5: 2a - 3

a)

1

b)

10

c)

25

d)

7

5.

Simplify the expression: 3x + 2x - 5

a)

x + 2

b)

5x - 5

c)

10x - 5

d)

8x - 5

6.

Simplify the expression: 4y - 2y + 7

a)

6y + 7

b)

5y + 7

c)

2y + 7

d)

2y - 7

7.

Simplify the expression: 5z - 3z - 8

a)

5z - 11

b)

2z - 3z - 8

c)

-3z - 8

d)

2z - 8

8.

Simplify the expression: 2a + 3a - 6

a)

6a - 6

b)

5a + 6

c)

a^2 + 3a - 6

d)

5a - 6

9.

Identify the like terms in the expression: 2x + 3y - 5x + 4

a)

2x and -5x

b)

3y and -5x

c)

2x and 3y

d)

3y and 4

10.

Identify the like terms in the expression: 4a - 2b + 3a - 5b

a)

3a and 2b

b)

4a and 3a

c)

2a and 3a

d)

4a and 5b

11.

Identify the like terms in the expression: 5x - 2y + 3x - 4y

a)

5x and -2y

b)

5x and 4y

c)

3x and -4y

d)

5x and 3x

12.

Identify the like terms in the expression: 6m - 2n + 4m - 3n

a)

6m and 2n

b)

4m and 3n

c)

6m and 3n

d)

6m and 4m

13.

Translate the verbal expression into an algebraic expression: Five more than a number

a)

x / 5

b)

x - 5

c)

x + 5

d)

5x

14.

Translate the verbal expression into an algebraic expression: The sum of a number and 8

a)

x - 8

b)

x + 8

c)

8 - x

d)

x * 8

15.

Translate the verbal expression into an algebraic expression: Three less than twice a number

a)

3 - 2x

b)

2x + 3

c)

3x - 2

d)

2x - 3

16.

List the coefficients in the expression: 12x + 5 - 8x - 6

a)

12, 5, -8, and -6

b)

12 and 8

c)

12 and -8

d)

-8 and -6

17.

How many variables are in the following expression: p + 8x - 7 - 8y + 4 + 9p

a)

6

b)

4

c)

5

d)

3

18.

In the expression 6x + 4x - 8, -8 is a...

a)

Term

b)

Coefficient

c)

Constant

d)

Term and a Constant

19.

Expressions contain all of the following EXCEPT

a)

Numbers

b)

Variables

c)

Operations

d)

An Equal Sign

20.

Evaluate x - 9 when x = 20

a)

29

b)

12

c)

11

d)

10

21.

Evaluate 2x/4 when x = 6

a)

4

b)

2

c)

3

d)

6

22.

Solve the following:
(2 + 7 - 1) ÷ 2²

a)

16

b)

2

c)

72.25

d)

8.75

23.

(7 x 5) + (6 x 4)

a)

48

b)

69

c)

59

d)

72

24.

5-(7+3)÷2

a)

0

b)

-5

c)

5

d)

6

25.

8+5∙4+(7-3)

a)

32

b)

23

c)

25

d)

12

26.

75 ÷ 5 × 9 – 9

a)

126

b)

226

c)

711

d)

300

27.

(7 + 41) ÷ 2 – 15

a)

19

b)

9

c)

25

d)

3

28.

18 + (6 – 2) × 2

a)

26

b)

29

c)

44

d)

40

29.

(18 ÷ 2) × 3 – 17

a)

206

b)

100

c)

10

d)

5

30.

Write each product using an exponent.
4 x 4 x 4 x 4 x 4

a)

4⁵

b)

5⁴

c)

4⁶

d)

4⁶

31.

Write each product using an exponent.
7 x 7 x 7 x 7 x 7 x 7 x 7 x 7

a)

7⁷

b)

7⁸

c)

8⁷

d)

7⁹

32.

Which is equivalent to 2⁴

a)

8

b)

20

c)

16

d)

12

33.

Which is equivalent to 5 x 5 x 5 x 5

a)

5³

b)

5⁴

c)

4⁵

d)

5⁵

34.

Which is equivalent to 9^o

a)

1

b)

0

c)

9

d)

No Answer

35.

What is equivalent to 5 squared?

a)

25

b)

10

c)

55

d)

30

36.

How do you correctly say 4³

a)

4 squared

b)

3 quadrupled

c)

4 cubed

d)

4 to the power of 2

37.

Which is equivalent to 3⁴

a)

27

b)

9

c)

81

d)

12

38.

What is another way to write 6³?

a)

6 × 6 × 6

b)

3 × 3 × 3 × 3 × 3 × 3

c)

6 + 6 + 6

d)

6 × 3

39.

What is another way to write 7 cubed?

a)

7 × 7 × 7

b)

3 × 3 × 3 × 3 × 3 × 3 × 3

c)

21

d)

7 + 3

40.

What is the value of 4³?

a)

12

b)

7

c)

64

d)

16

41.

Write each product using an exponent.
14 x 14

a)

2¹⁴

b)

14²

c)

14

d)

14¹⁴

42.

What is the BASE in the power below?
4³

a)

4

b)

3

c)

4³

d)

64

43.

What is the Exponent in the following example?
-2⁵

a)

-2

b)

2

c)

5

d)

-2⁵

44.

Another name for exponent is _______________ .

a)

radical

b)

base

c)

power

d)

fractional

45.

Which is equivalent to 5 x 5 x 5 x 5

a)

5³

b)

5⁴

c)

4⁵

d)

5⁵

46.

5², in this example 5 is the ______

a)

base

b)

exponent

47.

5² , in this example 2 is the _____________

a)

base

b)

exponent

48.

Write 4⁸as a product of the same factor.

a)

4 + 4 + 4 + 4 + 4 + 4 + 4 + 4

b)

8 x 8 x 8 x 8

c)

4 x 8

d)

4 x 4 x 4 x 4 x 4 x 4 x 4 x 4

49.

Find the value of 2³

a)

2

b)

4

c)

6

d)

8

50.

a)

6/8

b)

9/8

c)

6/16

d)

9/16

51.

a)

1/8

b)

1/6

c)

3/6

d)

3/8

52.

a)

4/10

b)

4/25

c)

2/10

d)

2/25

53.

a)

36/49

b)

12/14

c)

12/49

d)

36/14

54.

a)

1/8

b)

4/16

c)

1/256

d)

4/256

55.

a)

8/18

b)

16/81

c)

16/18

d)

8/81

56.

a)

8/12

b)

16/12

c)

8/81

d)

16/81

57.

a)

15/24

b)

125/512

c)

125/24

d)

15/512

58.

a)

20/22

b)

100/22

c)

20/121

d)

100/121

59.

a)

225/361

b)

225/38

c)

30/38

d)

30/361

60.

Simplify the expression:
8(5 + w)

a)

40 + w

b)

40+8w

c)

85 + 8w

d)

13+8w

61.

Simplify the expression:
8(5 + w)

a)

40 + w

b)

40+8w

c)

85 + 8w

d)

13+8w

62.

Simplify the expression:
5(p - 6)

a)

5p - 30

b)

5p - 5

c)

p - 30

d)

5p + 11

63.

Simplify by distributing:

3(2c - 5)

a)

6c - 15

b)

6c + 15

c)

6c - 5

d)

-6c - 15

64.

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

a)

10x + 30

b)

10x + 6

c)

40x

d)

2x + 30

65.

Simplify by distributing:

4(8n+2)

a)

4n+2

b)

12n+6

c)

32n+8

66.

What is the simplified version of this expression? $5(a+6)$

a)

$5a+6$

b)

$a+30$

c)

$5a+30$

d)

$5a-30$

67.

Simplify the expression:
3(2h + 3c + 2)

a)

6h + 9c + 2

b)

6h + 9c + 6

c)

2h + 3c + 6

d)

5h + 6c + 5

68.

Simplify the expression:
3(4 + 7y)

a)

12 + 21y

b)

13 + 21y

c)

14 + 21y

d)

16 + 21y

69.

Simplify by distributing:

10(2a+1)

a)

20a+10

b)

12a+10

c)

10a+1

70.

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)

Algebraic Expressions (Unit 7)

Total questions: 70

Worksheet time: 3hrs 36mins

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