Free Printable Expressions

1.

Simplify the Expression.
9z - 21 - 3z + 10

a)

Simplified

b)

9z - 21 - 7

c)

9z - 11 -3z

d)

6z - 11

2.

x²+2−1+6x²−4x²

a)

x ² -1

b)

x² +1

c)

3x² +1

d)

x ²+3

3.

-12n - (-13n)

a)

-25n

b)

25n

c)

n

d)

-n

4.

Simplify the expression: 7+3(1 - 2x)

a)

21 - 6x

b)

10 - 2x

c)

10 - 20x

d)

10 - 6x

5.

Simplify the expression

8(2x+3)-13

a)

16x+11

b)

16x

c)

24x+41

d)

4-24x

6.

Simplify the expression

2y+6(8x+2y)-3x

a)

45x+14y

b)

72x+14y

c)

72x-14y

d)

24x-14y

7.

Simplify the expression.

6(2a+5b)+3(a-8b)

a)

15a+6b

b)

21ab

c)

5a

d)

15a-6b

8.

Simplify:
5x - 6x - 8x + 7

a)

-9x + 7

b)

10x + 7

c)

9x + 7

d)

9x - 7

9.

Simplify:
1y - 2x - 3y + 4x

a)

-2x + 2x

b)

-2y - 2x

c)

-4y - 6x

d)

2y - 2x

10.

-4(-4d - 5)

a)

16d+20

b)

-16d+20

c)

16d-20

d)

-16d-20

11.

Add these expressions
(x+5) + (2x+10)

a)

3x+15

b)

x-5

c)

18x

12.

-(-x + 2) - 4x

a)

2x

b)

-4x

c)

-5x + 2

d)

-3x - 2

13.

-12n - (-13n)

a)

-25n

b)

25n

c)

n

d)

-n

14.

−x²+2−1+6x²−4x²

a)

x ² -1

b)

x² +1

c)

3x² +1

d)

x ²+3

15.

Simplify the expression:
$6-2\left(7x-3\right)$

a)

-14x

b)

-14x + 12

c)

14x

d)

5x +1

16.

Combine Like Terms $4x\ -\ 5\ +6y+\left(-7x\right)-3x+10$

a)

$14x\ +6y\ +5$

b)

$-6x+6y+15$

c)

$-6x+6y+5$

d)

$-14x\ +\ 6y\ +\ 5$

17.

-2(3m + 9)

a)

-6m + 18

b)

-6m - 18

c)

-5m + 9

d)

-5m + 18

18.

-6(z - 1)

a)

-6z + 6

b)

-6z - 6

c)

6z + 7

d)

6z - 7

19.

-(5x + 1)

a)

-5x - 1

b)

-5x + 1

c)

-4x

d)

4x

20.

½(8x + 2)

a)

16x + 4

b)

4x + 2

c)

4x + 4

d)

4x + 1

21.

⅔(¼x - 6)

a)

⅙x - 4

b)

½x - 3

c)

⅘x - 2

d)

⅛x - 6

22.

-7(w-4)+3w - 27

a)

10w + 21

b)

-4w + 1

c)

3w + 5

d)

2w - 5

23.

6(x + 1) - 5(x + 2)

a)

-2x + 3

b)

x + 5

c)

2x - 4

d)

x - 4

24.

-5(k+6) + 7(k-4)

a)

2k - 58

b)

2k - 2

c)

4k - 24

d)

5k - 8

25.

-9(m+2) + 4(6-7m)

a)

-3m + 12

b)

-13m - 18

c)

-37m + 6

d)

-43m + 13

26.

-3(-9v-4)-2(v-2)

a)

10v - 11

b)

25v + 16

c)

30v + 9

d)

32v - 10

27.

-4(8-c)-(3c+7)

a)

c - 24

b)

c - 39

c)

-7c + 15

d)

-7c + 1

28.

Factor:
12x - 20

a)

4x(3 - 5)

b)

4(3x - 5)

29.

Factoring is the opposite of distributing

a)

True

b)

False

30.

Factor Completely:
-3x - 15

a)

-3 (x+ 5)

b)

3 (x + 5)

c)

-3 (x -5)

31.

Factor Completely:
-9u - 81

a)

9(u + 9)

b)

-9(u - 9)

c)

-9(u + 9)

32.

Simplify the following expression:
-6x + 4(-x - 3)

a)

-2x - 12

b)

10x + 12

c)

-10x - 12

d)

-2x + 12

33.

Simplify the following expression:

-8 (5b + 2) -7 (b - 5)

a)

-33b + 19

b)

-47b² + 21

c)

33b - 19

d)

-47b + 19

34.

2m + 2s + 5 -3 +6m^{4 _}m
How many constants? How many coefficients? How many variables?

a)

2,3,4

b)

1,2,3

c)

3,2,1

d)

2,1,3

35.

What is the GCF? 5x²+20x

a)

5

b)

x

c)

5x

d)

20x

36.

What is the GCF? 2x²-4x+8

a)

2x

b)

2

c)

x

d)

1

37.

Find GCF 15n³+25n²

a)

5

b)

15n

c)

5n²

d)

5n

38.

simplify the following expression
- ( 2x + 7)

a)

- 2x + 7

b)

- 2x - 7

c)

2x - 7

d)

2x + 7

39.

Factor out the GCF

3x³ + 9x

a)

3x (x²+ 3)

b)

3x ( x³ + 9)

c)

x (3x² + 9)

d)

3x (x³ + 3x)

40.

Factor 7x + 48y.

a)

7(x + 7y)

b)

7(x + y)

c)

cannot be factored

d)

7(x + 48y)

41.

Find the difference:
(8 - u) - (5u + 1)

a)

6u + 7

b)

-4u + 7

c)

-6u + 7

d)

4u - 7

42.

Find the sum:
1/2 (4x + 4) + (2x + 8)

a)

-4x + 10

b)

4x + 10

c)

6x + 12

d)

-6x + 12

43.

A number with no variable attached is called a _____.

a)

coefficient

b)

constant

c)

variable

d)

term

44.

Simplify the following expression:
19 - ( 3 - 5b)

a)

16 + 5b

b)

21 + 5b

c)

16 - 5b

d)

21 - 5b

45.

Simplify ¹/₂x + ¹/₄x + 5 - 3

a)

¹/₃x + 2

b)

³/₄x + 2

c)

¹/₄x - 2

d)

³/₄x - 2

46.

2r - 2(7r + 8) + -4

a)

-16r + 12

b)

-12r + 8

c)

-16r + 4

d)

-12r - 20

47.

What property is shown?
4 + (3 + 9) = (4 +3) + 9

a)

Associative of Multiplication

b)

Commutative of Addition

c)

Associative of Addition

48.

Using the commutative property, what would be the equivalent expression for
5 + 6 = ?

a)

6 + 5

b)

5 + 6

c)

11

49.

5 x (7 + 9) = (5 x 7) + (5 x 9)

a)

Distributive Property

b)

Associative Property

c)

Commutative Property

d)

Multiplying Property

50.

3 x 8 - (9 - 7)³

a)

16

b)

18

c)

0

51.

8 + 3(5 + 2) - 7 ∙ 2

a)

3

b)

15

c)

44

52.

Find the mistake in this problem: 3(x + 2) = 3x + 2.

a)

Should have added the 3 and the x.

b)

There is no mistake in this problem.

c)

Should have multiplied the 3 with the 2.

d)

Should have added the 3 and the 2.

53.

$\left(-6\right)^2\ \div\ \left(3\cdot5\ -\ 3\right)$

a)

-1

b)

57

c)

-3

d)

3

54.

$\left(-10\ +\ 2\right)\ \div\ 2^{3\ }-\ 5$

a)

-4

b)

-7

c)

-6

d)

59

55.

(-3)²- (4)(5)

a)

25

b)

-29

c)

-11

d)

10

56.

$24\ \div\ \left(3\ -\ 5\right)^3$

a)

-3

b)

27

c)

3

d)

-117

57.

Evaluate for a = 3 and b = -4:

ab + b²

a)

4

b)

28

c)

-4

d)

196

58.

Evaluate for m = -2 and n = 3:

4(m - n) + 2mn

a)

-8

b)

-32

c)

108

d)

8

59.

A letter that represents a number is called a _____.

a)

variable

b)

coefficient

c)

constant

d)

term

60.

A number with no variable attached is called a _____.

a)

coefficient

b)

constant

c)

variable

d)

term

61.

Re-write the expression: 4 less than 5.

a)

4-5

b)

4p-5

c)

5-4

d)

5-4p

62.

Re-write the expression: the product of 4 and p

a)

4/p

b)

4 x p

c)

12/4p

d)

12/4x

63.

What is the quotient of y and 5?

a)

y - 5

b)

y + 5

c)

y X 5

d)

y/5

64.

The product of 7 and j increased by 3 can be written as which expression?

a)

3 + 7j

b)

7j - 3

c)

7(j + 3)

d)

3j + 7

65.

What is the perimeter of this rectangle?

a)

6x + 12

b)

12x + 12

c)

6x + 24

d)

12x + 24

66.

Simplify: -2(x - 8)

a)

-2x + 16

b)

2x - 8

c)

-2x - 8

d)

-2x - 16

67.

Factor:
12x + 9

a)

3(4x + 3)

b)

x(12+9)

c)

3(4x - 3)

d)

not factorable

68.

Factor:
17xy - x

a)

17(xy - x)

b)

y(17x - x)

c)

x(17y - 1)

d)

Can't be factored

69.

Factor:
4x + 30y

a)

2(x + 15y)

b)

4(x + 15y)

c)

2(2x + 15y)

d)

can't be factored

70.

Factor:
-8x - 10

a)

4(2x - 3)

b)

-2(4x + 5)

71.

Factor out the coefficient of the variable term.

a)

x + 1

b)

x

c)

1

d)

x + 0

72.

Factor the follow expression:

-16x-56

a)

-72x

b)

-8(2x+7)

c)

-16(x-40)

d)

8(2x+56)

73.

Factor the following expression:

36z-18y+30x

a)

6(-6z+3y-5x)

b)

6(6z-3y+5x)

c)

-6(6z-3y+5x)

d)

-6(6z+3y+5x)

74.

Factor

21p + 7

a)

7(3p + 1)

b)

7(3p + 7)

c)

can't be factored

d)

3(7p + 7)

75.

(#20) Name the GCF of 9ab and 12abc

a)

ab

b)

3ab

c)

3abc

d)

3

76.

Factor
10x² + 15x - 5

a)

25(10x³+45x-15)

b)

5(2x³ + 3x²-x)

c)

x(10x³+15x-5)

d)

5(2x²+3x-1)

77.

Factor the expression using the coefficient
-⅕x - ⅖

a)

-⅕ (x + 2)

b)

-⅕ (x + ⅕)

c)

⅕ ( x - 2)

d)

⅕ (x + ⅕)

78.

the difference between forty-six and a number

a)

46 x n

b)

46/n

c)

n-46

d)

46 − n

79.

5 times a number, minus 8

a)

5m - 8

b)

5(m + 8)

c)

8m + 5

d)

8(m + 5)

80.

46 less than a number

a)

46 - n

b)

n - 46

c)

46 + n

d)

n + 46

81.

The product of 6 and y..

a)

6 + y

b)

6y

c)

y - 6

d)

y / 6

82.

r less than 5

a)

r - 5

b)

5 - r

c)

r + 5

d)

5 + r

83.

Write an algebraic expression for:
14 decreased by a number

a)

14+n

b)

14-n

c)

n-14

d)

14 decreased by a number

84.

The quotient of 15 and a number plus 1

a)

15 / g - 1

b)

15 / g + 1

c)

g / 15 + 1

d)

g + 1 / 15

85.

Translate this phrase into an algebraic expression.
8 less than the product of 4 and a number
Use the variable m to represent the unknown number.

a)

8 - 4m

b)

8m - 4

c)

8m + 4

d)

4m - 8

86.

Write an algebraic expression for:
three times a number plus 16

a)

3(16)+n

b)

16n+3

c)

3n+16

87.

Translate the sentence into an equation.
Seven subtracted from n is 18

a)

n + 7 = 18

b)

7 - n = 18

c)

n - 7 = 18

d)

n + 7 = 18n

88.

Translate the sentence into an equation:
Four more than six times a number is 18.

a)

4 + 6x = 18

b)

4x + 6 = 18

c)

6x + 4 = 18

d)

not enough info

89.

How would you translate
x - 5 = 12 into words?

a)

x - 5 = 12

b)

The product of x and 5 is twelve

c)

x less than 5 is 12

d)

Five less than x is 12.

90.

m plus the product of 6 and n

a)

m + 6n

b)

m - 6 + n

c)

6m + n

d)

m + 6 + n

91.

"difference of"

a)

ADD

b)

SUBTRACT

c)

MULTIPLY

d)

DIVIDE

92.

4 less than x

a)

4 - x

b)

x - 4

c)

4x

d)

-4x

Expressions

Total questions: 92

Worksheet time: 3hrs 28mins

Similar Resources on Wayground