Free Printable Ch. 1 Expressions

1.

Difference, minus, less than, and decreased by are all words that mean ______________.

a)

add

b)

subtract

c)

multiply

d)

divide

2.

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

3.

Kendra’s math teacher assigned math homework, but Kendra decided to do 5 extra problems. Which algebraic expression shows how many problems Kendra completed?

a)

5x

b)

x-5

c)

x+5

d)

x⁵

4.

Andy and 4 friends equally shared some pizzas. How much did they each eat?

a)

4x

b)

x / 4

c)

5x

d)

x / 5

5.

Tiffany brought $30 to the mall and spent $14 on a softball and $6 for a snack. Which expression matches the situation?

a)

30 ÷ (14 - 6)

b)

30 - (14 + 6)

c)

30 ÷ (14 - 6)

d)

30 - 14 + 30 - 6

6.

The sum of a number and 3

a)

3x

b)

x - 3

c)

x + 3

d)

$\frac{x}{3}$

7.

The product of a number and 5

a)

5x

b)

x + 5

c)

$\frac{x}{5}$

d)

x - 5

8.

Three less than a number

a)

x - 3

b)

3 - x

c)

x < 3

d)

3 < x

9.

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

a)

coefficient

b)

algebraic expression

c)

variable

d)

term

10.

A ______________ is a number multiplied by a variable.

a)

term

b)

variable

c)

coefficient

d)

numerical expression

11.

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

a)

5x - 3

b)

3 - 5x

c)

3x + 5

d)

3x(5)

12.

Solve the following:
(2 + 7 - 1) ÷ 2²

a)

16

b)

2

c)

72.25

d)

8.75

13.

Which operation would you do first in the following equation?

10 - 4 ÷ 1 x 5

a)

Subtraction

b)

Division

c)

Multiplication

d)

Addition

14.

True or false:
Addition ALWAYS comes before subtraction.

a)

True

b)

False

15.

Solve the following:
-2 x (3 + 8 ÷ 4)²

a)

-16

b)

1.375

c)

4

d)

-50

16.

Simplify:
[25-(13+4)+4] ÷ 3

a)

6

b)

2

c)

3

d)

4

17.

Which operation should you perform first in the expression

-4+3^3\div5

a)

exponent

b)

division

c)

addition

d)

subtraction

18.

Simplify by combining like terms:

8 + 3x - 2 + x

a)

4x + 6

b)

6 + 4x

c)

3x + 10

d)

3x + 6

19.

Simplify the algebraic expression:

3n - n

a)

n

b)

2n

c)

3n

d)

4n

20.

Simplify the expression:

6y + y - y

a)

6y

b)

7y

c)

6 + 3y

d)

8y

21.

Simplify the expression:

5(4 - 2x) + 3x

a)

13x + 20

b)

5x + 20

c)

x + 20

d)

-7x + 20

22.

What expression represents the perimeter of the triangle in simplest form?

a)

3x + 2

b)

x + 10

c)

13x

d)

3x + 10

23.

What expression represents the perimeter of the rectangle?

a)

4y - 4

b)

2y - 2

c)

4y + 4

d)

2y + 4

24.

Simplify 3(a + b) - 2(a - b)

a)

a + 5b

b)

a + b

c)

a - 5b

d)

a - b

25.

5a - 6b + 4a + 3b

a)

9a - 3b

b)

a + b

c)

6ab

d)

-b + a

26.

3 - 5(a - 4)

a)

23 - 5a

b)

5a - 23

c)

18a

d)

-18a

27.

7(a + 8) - 5a + 4

a)

2a + 60

b)

-5a + 60

c)

2a + 56

d)

7a + 4

28.

-5a - 2(a - 1)

a)

-7a + 2

b)

-9a

c)

-7a - 2

d)

12a - 2

29.

7x²-5x+3-2x²-2x-1

a)

5x²-7x+2

b)

9x²-3x+4

c)

5x²+7x+2

d)

6x²+2

30.

10x²+9x-5+3x²-8x-7

a)

13x²+17x+12

b)

14x²-12

c)

13x²+x-12

d)

2x²

31.

Factor:
4x + 30y

a)

2(x + 15y)

b)

4(x + 15y)

c)

2(2x + 15y)

d)

can't be factored

32.

Factor:
12x - 20

a)

4x(3 - 5)

b)

4(3x - 5)

33.

Factor:
7x + 48y

a)

7(x + 7y)

b)

7(x + y)

c)

can't be factored

d)

7(x + 48y)

34.

Factor:
12x + 9

a)

3(4x + 3)

b)

x(12+9)

c)

3(4x - 3)

d)

not factorable

35.

Factor Completely:
24+16q

a)

4(7+4q)

b)

8(3+2q)

c)

4(6q+2)

d)

24(24-16q)

36.

Factor Completely:
35c - 15d

a)

5(7c + 3d)

b)

5(7d - 3c)

c)

5(7c - 3d)

37.

5+1 = 1+5

a)

Commutative Property of Addition

b)

Associative Property of Addition

c)

Inverse Property of Addition

d)

Distributive Property

38.

(5•2) • 4 = 5 • (2•4)

a)

Commutative Property of Multiplication

b)

Associative Property of Multiplication

c)

Transitive Property

d)

Symmetric Property

39.

9 + 0 = 9

a)

Reflexive Property

b)

Distributive Property

c)

Identity Property of Addition

d)

Inverse Property of Addition

40.

12 • 1/12 = 1

a)

Identity Property of Multiplication

b)

Associative Property of Multiplication

c)

Commutative Property of Multiplication

d)

Inverse Property of Multiplication

41.

-3(a+c) = -3a-3c

a)

Transitive Property

b)

Distributive Property

c)

Symmetric Property

d)

Commutative Property of Multiplication

42.

t = t

a)

Substitution Property

b)

Transitive Property

c)

Reflexive Property

d)

Symmetric Property

43.

4x+3 = 15 , 15 = 4x+3

a)

Transitive Property

b)

Substitution Property

c)

Reflexive Property

d)

Symmetric Property

44.

If x+y = 4 and 4 = 3+1, then x+y = 3+1

a)

Transitive Property

b)

Reflexive Property

c)

Symmetric Property

d)

Substitution Property

45.

(x•y) • z = z • (x•y)

a)

Associative Property of Multiplication

b)

Commutative Property of Multiplication

c)

Multiplicative Inverse Property

d)

Identity Property of Multiplication

46.

a² + (b² + c²) = (a² + b²) + c²

a)

Commutative Property of Addition

b)

Zero Property

c)

Associative Property of Addition

d)

Identity Property of Addition

47.

1 • g³ = g³

a)

Inverse Property of Multiplication

b)

Zero Property

c)

Transitive Property

d)

Identity Property of Multiplication

48.

-x + x = 0

a)

Additive Inverse Property

b)

Identity Property of Addition

c)

Commutative Property of Multiplication

d)

Associative Property of Addition

49.

(x + y) • 0 = 0

a)

Substitution Property

b)

Distributive Property

c)

Zero Property

d)

Inverse Property of Multiplication

50.

xyz = xyz

a)

Symmetric Property

b)

Reflexive Property

c)

Substitution Property

d)

Transitive Property

51.

q + p = 0 , 0 = q + p

a)

Transitive Property

b)

Reflexive Property

c)

Symmetric Property

d)

Substitution Property

52.

If s = d - 1 and d - 1 = -12, then s = -12

a)

Transitive Property

b)

Symmetric Property

c)

Multiplicative Inverse Property

d)

Reflexive Property

53.

Which shows the Identity Property of Multiplication?

a)

3 + 1 = 4

b)

1 x 9 = 9

c)

18 - 1 = 17

d)

11 x 4 = 44

54.

Identify the example of the

inverse property of multiplication.

a)

5 ⋅ 0 = 5

b)

5 ⋅ $\frac{1}{5}$ = 1

c)

5 - 5 = 0

d)

5 ⋅ 1 = 5

55.

Identify this property.

$\frac{4}{5}\ \times\ \frac{5}{4}\ =\ 1$

a)

Multiplicative Inverse

b)

Multiplicative Identity

c)

Commutative

d)

Associative

56.

What property is this?
1a = a

a)

Commutative Property of Multiplication

b)

Multiplicative Inverse

c)

Multiplicative Identity

d)

Distributive Property

Ch. 1 Expressions

Total questions: 56

Worksheet time: 1hrs 20mins

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