Free Printable Algebraic Expressions

1.

A _____________ is a symbol, usually a letter that stands for a number.

a)

coefficient

b)

algebraic expression

c)

variable

d)

term

2.

A(n) __________________ consists of one or more numbers, variables, and operations.

a)

numeric expression

b)

term

c)

variable

d)

algebraic expression

3.

Which verbal expression represents the given expression?
3(4-x)

a)

four minus the number x divided by 3

b)

three times four less than a number x

c)

three times the quantity x less than four

d)

four subtracted from x times three

4.

Which expression represents: "the product of 3 and x increased by 5"?

a)

5x - 3

b)

3 - 5x

c)

3x + 5

d)

3x(5)

5.

The algebraic expression 6x - 4 can be written as which of the following?

a)

x to the sixth power decreased by four

b)

The product of six and a number x decreased by four

c)

Six times a number x less than four

d)

four less than six

6.

The sum of seven and x

a)

7-x

b)

x-7

c)

7x

d)

7+x

7.

Five less than y

a)

5+y

b)

5y

c)

5-y

d)

y-5

8.

Evaluate when a = 15:

2(a - 5) + 2

a)

22

b)

27

c)

14

d)

7

9.

b − 3 + 6 − 2b

a)

-b + 3

b)

3b + 9

c)

b + 3

d)

-3b + 3

10.

9 + 5r − 9r

a)

4r + 9

b)

-4r - 9

c)

-4r + 9

d)

5r

11.

−2(7 − n) + 4

a)

-n + 18

b)

-2n - 10

c)

-n + 9

d)

2n - 10

12.

−8(−5b + 7) + 5b

a)

45b − 56

b)

-35b + 7

c)

-45b + 56

d)

10b - 1

13.

−7(k − 8) + 2k

a)

-5k - 56

b)

-5k - 8

c)

10k - 7

d)

−5k + 56

14.

1 + 7(1 − 3b)

a)

-3b + 9

b)

21b + 8

c)

-3b + 7

d)

-21b + 8

15.

−6(a + 8)

a)

-6a + 8

b)

-6a - 48

c)

-6a + 2

d)

6a + 48

16.

6(−5n + 7)

a)

-11n + 13

b)

30n + 42

c)

-30n + 7

d)

-30n + 42

17.

−8(1 − 5x)

a)

-8 + 40x

b)

8 + 40x

c)

-8 - 40x

d)

8 - 40x

18.

Factor. 6a + 20

a)

2(a + 10)

b)

6(a + 14)

c)

2(3a + 10)

d)

3(2a + 5)

19.

Factor. 4x + 10

a)

4(x + 10)

b)

2(2x + 10)

c)

4(x + 2)

d)

2(2x + 5)

20.

Factor. 45c + 10d

a)

45(c + 10d)

b)

5(9c + 2d)

c)

5cd(9 + 2)

d)

2(22.5c + 5d)

21.

Factor. 27 - 9x + 15y

a)

9(3 - x + 15y)

b)

3(9 - 3x + 5y)

c)

2(13 - 5x + 7y)

d)

3(9 - 9x + 5y)

22.

Which statement is true?

a)

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

b)

2(3) + 2(4) = 2(3 +4)

c)

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

23.

Which expression is equivalent to 3(n -6)?

a)

3n - 6

b)

n - 18

c)

3n - 18

d)

3n - 9

24.

Use the distributive property to simplify the expressions 3(4x + 9)

a)

4x + 27

b)

12x + 27

c)

7x + 12

d)

12x + 12

25.

Evaluate the expression using the values
m = 7, r = 8, and t = 2.
4m + t

a)

30

b)

28

c)

26

d)

14

26.

Evaluate the expression using the values m = 7, r = 8, and t = 2.
r/t

a)

8

b)

6

c)

4

d)

7

27.

Combine the like terms. Simplify.
2x + x - 4y

a)

2x+x-4y

b)

4x+4y

c)

3x-4y

d)

3x+4y

28.

Combine like terms. Simplify.
11g-9g+8g

a)

10g

b)

9g

c)

2g

d)

11g

29.

Solve using distributive property.
3(x-6)

a)

3x+18

b)

3x-6

c)

3x+6

d)

3x-18

30.

Factor:
4x + 30y

a)

2(x + 15y)

b)

4(x + 15y)

c)

2(2x + 15y)

d)

can't be factored

31.

Factor:
12x + 9

a)

3(4x + 3)

b)

x(12+9)

c)

3(4x - 3)

d)

not factorable

32.

Factor
2x + 8

a)

2(x + 8)

b)

2(x + 4)

33.

Factor
10 + 15x

a)

5(2 + 3x)

b)

2(5 + 10x)

34.

Factor
8x - 12

a)

4(2x - 3)

b)

2(4x - 4)

35.

Factor
12x - 20

a)

4x(3 - 5)

b)

4(3x - 5)

36.

Factor
8x - 6

a)

2(4x - 3)

b)

2(4x + 3)

37.

Factor
3 + 6x

a)

3(1 + 2x)

b)

3x(x - 2)

38.

Factor
14x + 20

a)

2(7x + 10)

b)

4(2x + 5)

39.

x=5 3x

a)

15

b)

24

c)

35

d)

9

40.

B=12 10B+3

a)

123

b)

125

c)

143

d)

186

41.

J=5 5J+5+J

a)

35

b)

55

c)

50

d)

105

42.

P=10 6P+2

a)

32

b)

62

c)

82

d)

100

43.

R=2 3R+2

a)

8

b)

6

c)

10

d)

62

44.

3(2x + z) when x=8 and z=2

a)

12

b)

30

c)

54

d)

60

45.

2x + 5(y - 1) when x=8 and y=5

a)

20

b)

31

c)

36

d)

-4

46.

6 (x + 5)

a)

Six times X increased by five

b)

Six times the sum of a number and five

c)

The quotient of six and a number increased by five

d)

Five more a number times six

47.

Evaluate the expression for the given value of the variable.
3x + 5 when x = 5

a)

18

b)

20

c)

200

d)

15

48.

evaluate bc + 5a
when a = 3, b = 4, and c = -6

a)

9

b)

38

c)

-38

d)

-9

49.

A website charges $0.99 to download a game and $12.49 membership fee. Write an expression that gives the total cost in dollars to download "g" games.

a)

12.49g+0.99

b)

0.99g+12.49

c)

0.99+12.49

d)

g+12.49+0.99

50.

Evaluate 3b + 2d
when
a = 1, b = 3, d = -2

a)

3

b)

5

c)

0

d)

2

51.

12 ÷ a + 8
when a = 4

a)

1

b)

11

c)

12

d)

2

52.

2(a - 5) + 2
when a = 15

a)

22

b)

27

c)

14

d)

7

53.

6a - 3d
when a = 1, d = 2

a)

3

b)

12

c)

1

d)

0

54.

6a + 2(c - b)
when a = 2, b = 1, c = 9

a)

4

b)

-4

c)

28

d)

8

55.

5x + 2; for x = 1

a)

8

b)

7

56.

13 + 6x; for x = 2

a)

25

b)

21

57.

8y + 12 - 2z; for y = 4 and z = 2

a)

40

b)

20

Algebraic Expressions

Total questions: 57

Worksheet time: 2hrs 54mins

Similar Resources on Wayground