Free Printable Expressions

1.

Solve the following:
5 - 6² ÷ 4 - 3

a)

1

b)

-10.75

c)

-31

d)

-7

2.

3²+4²-(4x2)

a)

14

b)

9

c)

9

d)

17

3.

Evaluate the expression.

a)

15

b)

11

c)

-15

d)

-11

4.

Simplify the following:
-2 ⋅ (3 + 8 ÷ 4)²

a)

-16

b)

1.375

c)

4

d)

-50

5.

Simplify the following expression.
3[(4-8+4² (2+5)]

a)

324

b)

87

c)

75

d)

300

6.

What is the value of the expression

6² – 5 × 2 + 1.5 + 4?

a)

7.5

b)

19.5

c)

31.5

d)

67.5

7.

(4 + 6)² – 3⁴ ÷ 9²

a)

5

b)

19

c)

96

d)

99

8.

96 ÷ 4² + (25 × 2) – 15 – 3?

a)

44

b)

38

c)

21

d)

15

9.

Solve the following:
(2 + 7 - 1) ÷ 2²

a)

16

b)

2

c)

72.25

d)

8.75

10.

Simplify the following:
-2 ⋅ (3 + 8 ÷ 4)²

a)

-16

b)

1.375

c)

4

d)

-50

11.

2x + 3 + x²; for x = 4

a)

17

b)

27

c)

19

d)

25

12.

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

a)

40

b)

20

c)

84

d)

34

13.

Evaluate when x = 2 and y = 5:
2 + (12 - 5x) ⋅ 2y

a)

22

b)

40

c)

142

d)

-86

14.

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

a)

22

b)

27

c)

14

d)

7

15.

2x + 3 + x²; for x = 4

a)

17

b)

27

c)

19

d)

25

16.

$b^2+3\left(a-5\right)$

(b = 5) (a = 10)

(a)

17.

$w^2-d^3\times4$

(w = 12) (d = 3)

(a)

18.

$y\div3+\left(g^2-15\right)$

(g = 4) (y = 36)

(a)

19.

$s\left(9-7\right)\div5-t$

(t = 1) (s = 10)

(a)

20.

Evaluate the expression for the given values. 2x² - 3xy - 2z²

a)

-32

b)

68

c)

4

d)

32

21.

What are the coefficients in an expression?

a)

The numbers multiplied by the variables

b)

The operations in the expression

c)

The constants in the expression

d)

The exponents in the expression

22.

What are the coefficients in the expression 8x - 3 + 12xy?

a)

-3, 8, 12

b)

x, y

c)

8, 12

d)

There are no coefficients in this expression

23.

Identify the coefficients in this expression. 4 + 3x + 5x

a)

3x, 5x

b)

4, 3x, 5x

c)

3, 5

d)

x

24.

A number on its own that does not change and is without a variable is known as a _______________.

a)

Term

b)

Variable

c)

Coefficient

d)

Constant

25.

Identify the constants in the expression:

7-5x+1

a)

7

b)

1

c)

7 & 1

d)

5

26.

things that are being added or subtracted in an expression

a)

term

b)

variable

c)

factor

d)

coefficient

27.

Which expression contains exactly 3 terms?

a)

5 + 6xy

b)

9 + 4t

c)

8 + 2y - 5x

d)

24xy

28.

Identify the terms, coefficients, and constants of the expression. 6q+1

a)

Terms: 6q, 1 Coefficient: 6 Constant: 1

b)

Terms: 6 Coefficient: 1 Constant: q

c)

Terms: 6q Coefficients: 6, 1 Constant: 1

d)

Terms: 1 Coefficient: 6 Constant: 1, q

29.

Identify the terms, coefficients, and constants of the expression. 3r²+4r+8

a)

Terms: 3r², 4r, 8 Coefficient: 3, 4 Constant 8, 3

b)

Terms: 3r², 4r, 8 Coefficient: r² Constant: 8

c)

Terms: 3r² Coefficient: 3, 4, r² Constant: 8

d)

Terms: 3r², 4r, 8 Coefficient: 3, 4 Constant: 8

30.

Identify the variables in the following expression: 4x + 2y - 6

a)

4, 2, -6

b)

-4 and x

c)

X and Y

d)

-6

31.

Write a verbal expression for:
2a + 6

a)

6 more than the product of 2 times a

b)

6 less than the product of 2 times a

c)

6 more than the quotient of 2 and a

32.

Which of the following best describes the algebraic expression 3(x - 5)?

a)

Three times a number minus five

b)

Three times the quantity of a number minus five

c)

Three times the quantity of a number plus five

d)

Three times a number plus five

33.

Which expression below describes the following algebraic expression?
4(x + 6)

a)

four times x plus 6

b)

x plus six times four

c)

four times the sum of x plus 6

d)

four times six plus x

34.

The sum of 13 and twice a number h

a)

13 + 2h

b)

13 - 2h

c)

13 x 2h

d)

13 / 2h

35.

The product of 7 and j increased by 3

a)

7j + 3

b)

7j-3

c)

7(j+3)

d)

3j+7

36.

2 times the difference of t and 11

a)

2t - 11

b)

2(t - 11)

c)

2(t / 11)

d)

2 x t - 11

37.

4 divided by the sum of a number and 12

a)

4 / n + 12

b)

4 / 12n

c)

4 / (n + 12)

d)

(4 / n) + 12

38.

8 less than the quotient of a number and 2

a)

(x/2) - 8

b)

8 - (x/2)

c)

(x - 8)/2

d)

2x - 8

39.

Five times the difference of a number and 9

a)

5x - 9

b)

5(x - 9)

c)

5(x + 9)

d)

5(9) - y

40.

Twelve less than the product of a number and 8

a)

12 - 8n

b)

12 - (n + 8)

c)

8n - 12

d)

12/8n

41.

4 + 19 + 16 = 4 + 16 + 19
Moving the terms around does not change the results.

a)

Associative Property of Addition

b)

Commutative Property of Multiplication

c)

Commutative Property of Addition

d)

Identity Property of Addition

42.

Which property is represented?
7(t + u) = 7t + 7u

a)

Commutative Property

b)

Associative Property

c)

Distributive Property

43.

What property of addition takes a whole number and adds it with zero?

a)

Associative

b)

Commutative

c)

Identity

44.

What property allows this statement to be true?
(A + B) + C = A + ( B + C)

a)

Associative

b)

Commutative

c)

Distributive

d)

Identity

45.

Which property of addition does 4 · 1 = 4 illustrate?

a)

Identity Property

b)

Distributive Property

c)

Zero Property

d)

Commutative Property

46.

The way in which three numbers are grouped when they are added or multiplied does not change their sum or product.

a)

Associative Property

b)

Commutative Property

c)

Inverse Property

d)

Identity Property

47.

The order in which two numbers are added or multiplied does not change their sum or product.

a)

Commutative Property

b)

Associative Property

c)

Identity Property

d)

Inverse Property

48.

What property is represented?
-x + x = 0

a)

Inverse

b)

Identity

c)

Commutative

d)

Associative

49.

What property is represented?
$\frac{4}{3}\cdot\frac{3}{4}$ = 1

a)

Inverse

b)

Identity

c)

Commutative

d)

Associative

50.

What property is represented?
(jk)r = j(kr)

a)

Associative

b)

Inverse

c)

Identity

d)

Commutative

51.

$-5\left(-6+7r\right)-5\left(r+3\right)$

a)

45 + 30r

b)

45 – 40r

c)

15 + 30r

d)

15 – 40r

52.

$-4\left(x+1\right)-\left(1+3x\right)$

a)

–7x – 5

b)

–7x + 3

c)

–1x – 5

d)

–1x +3

53.

$-2\left(y-4\right)-8\left(5y-6\right)$

a)

–42y – 40

b)

–42y + 56

c)

38y + 56

d)

38y – 40

54.

$7x\ +\ 8y-3x-12y$

a)

$10x-4y$

b)

$4x-4y$

c)

$4x+4y$

d)

$10x+4y$

55.

$-4x-7y+8x+3y$

a)

$4x-4y$

b)

$4x\ +10y$

c)

$4x-10y$

d)

$-4x-4y$

56.

$12x-6y+2x-8y$

a)

$14x-2y$

b)

$14x+14y$

c)

$14x-14y$

d)

$14x+2y$

57.

What is -2y + 10 + 2y - 8 simplified?

a)

10

b)

8

c)

6

d)

2

58.

3(a - 14) - 5(a + 12)

a)

-2a - 102

b)

-104a

c)

8a - 2

d)

no solution

59.

-5a - 2(a - 1)

a)

-7a + 2

b)

-9a

c)

-7a - 2

d)

12a - 2

60.

3 - 5(a - 4)

a)

23 - 5a

b)

5a - 23

c)

18a

d)

-18a

Expressions

Total questions: 60

Worksheet time: 3hrs 14mins

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