Free Printable Algebraic Expressions

1.

What is the CONSTANT in this expression?

2n + 4g + 3 + y

(a)

2.

g divided by 9

a)

9g

b)

g-9

c)

g/9

d)

9/g

3.

Three times a number increased by nine

a)

3h-9

b)

3(h-9)

c)

3(h+9)

d)

3h+9

4.

Name the coefficient of 9h + 12

a)

6

b)

12

c)

9

d)

1

5.

What are the variables of 7x+6y-9

a)

6,7

b)

9

c)

6y, 7x

d)

x, y

6.

y minus 12

a)

y + 12

b)

y - 12

c)

y x 12

d)

y / 12

7.

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

8.

Write the phrase as an expression. "10 less than a number n"

a)

10-n

b)

n-10

c)

n+10

d)

10-n

9.

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

a)

4, 2, -6

b)

-4 and x

c)

x and y

d)

-6

10.

Evaluate m² if m = 5

a)

10

b)

25

c)

15

d)

20

11.

Evaluate 8a - b if a = 10 and b = 6

a)

74

b)

38

c)

1000

d)

9000

12.

What is the definition of a coefficient?

a)

The letter used to represent a quantity

b)

The little number or letter used to raise to a power

c)

The number in front of a variable

d)

The number in back of a variable

13.

In this expression, 2x + 6y - 10, which are the coefficients?

a)

2, 6, and -10

b)

x and y

c)

2 and 6

d)

-10

14.

What is the definition of a constant?

a)

The letter used to represent a quantity

b)

The number with no variable

c)

The number in front of a variable

d)

The little number or letter used to raise to a power

15.

An Algebraic Expression has

a)

variables, numbers and operations

b)

numbers

c)

operations and number

16.

What does the number 5 represent in the following expression:
2x + 5

a)

constant

b)

coefficient

c)

variable

d)

tacos

17.

What is the "7m" in this expression?
7m - 9

a)

Expression

b)

Variable

c)

Coefficient

d)

Term

18.

How many terms in the following expression:
5x + 3y - 15 + x

a)

1

b)

2

c)

3

d)

4

19.

A number on its own

a)

term

b)

constant

c)

coefficient

d)

variable

20.

Name the underlined part of the expression. 21 + g - 5h

a)

term

b)

variable

c)

constant

d)

coefficient

21.

Name the underlined part of the expression. 13r - 29

a)

constant

b)

term

c)

coefficient

d)

variable

22.

A number next to a variable means...

a)

add

b)

multiply

c)

subtract

d)

subtract

23.

If there is not a number in front of a variable, it is understood to be ....

a)

1

b)

0

c)

-1

d)

5

24.

How many terms are in this expression?

13t - 2x - 2² + 1/2y

a)

3 terms

b)

2 terms

c)

4 terms

d)

5 terms

25.

Solve this expression. 2x - 3y

x=7 and y =4

a)

12

b)

-7

c)

2

d)

-2

26.

Select all that apply. An expression can contain ...

a)

coefficients

b)

variables

c)

an equal sign

d)

constants

27.

Solve this expression. Substitute the numbers for the variables.

s = 2, y = 4,

y² + ( 10 - 4)^s - 3y

a)

34

b)

40

c)

16

d)

26

28.

Terms that have the same variables such as 5x and -8x.

a)

like terms

b)

coefficients

c)

exponents

d)

variables

29.

The numerical factor in a term of an algebraic expression. The 4 in the expression 4t³.

a)

coefficient

b)

variable

c)

factor

d)

exponent

30.

$2+3\cdot4$

(a)

31.

What is the coefficient of x?
8 + 5x - y

a)

8

b)

0

c)

5

d)

-5

32.

How many terms are in the expression?
-4 + 6y + 10x + 3a

a)

4

b)

3

c)

5

d)

2

33.

What is the constant?
-4 - 9y

a)

-4

b)

4

c)

9

d)

-9

34.

A symbol for a number we don't know yet. This is usually a letter.

a)

coefficient

b)

sum

c)

variable

d)

term

35.

Write an algebraic expression for "12 more than number".

a)

x + 12

b)

12x

c)

x - 12

36.

Write an algebraic expression for "8 less than a number".

a)

8x

b)

x - 8

c)

8 - x

37.

Evaluate x³ for x=3

a)

43

b)

9

c)

27

d)

16

38.

Evaluate the expression when
x =5 and z = 4
z²- 2x

a)

6

b)

2

c)

17

d)

26

39.

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

40.

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

41.

the difference of 100 and the quantity 6 plus w

a)

100 - 6 + w

b)

100 / (6 + w)

c)

100 - (6 + w)

d)

100 / 6 + w

42.

How many terms are in the expression
3a + 2b + c + 100

a)

3

b)

4

c)

5

d)

6

43.

Which expression contains exactly 3 terms?

a)

5 + 6xy

b)

9 + 4t

c)

8 + 2y - 5x

d)

24xy

44.

6 fewer than twice t

a)

6-2t

b)

2t-6

c)

2(t-6)

d)

t-2⋅6

45.

Subtract a number from 10

a)

n-10

b)

10+n

c)

10/n

d)

10-n

46.

a number added to 19

a)

19-n

b)

19+n

c)

19/n

d)

19n

47.

a number decreased by 12

a)

12-n

b)

12+n-5

c)

n-12

d)

12n

48.

six times the number of girls

a)

6 + g

b)

6g

c)

g - 6

d)

6 - g

49.

The sum of 13 and twice a number h

a)

13 + 2h

b)

13 - 2h

c)

13 x 2h

d)

13 / 2h

50.

8w is another name for:

a)

8 times w

b)

w multiplied by 8

c)

the product of 8 and a number

d)

all of the above

51.

Half of a number c

a)

c ÷ 2

b)

½ ÷ c

c)

c ÷ ½

d)

c + ½

52.

Use the distributive property to solve:

6(y + 4)

a)

6y + 24

b)

6y + 4

c)

y + 24

d)

6 + y + 4

53.

Use the distributive property to solve:

5(2x - 3)

a)

10x - 15

b)

10x + 3

c)

2x - 15

d)

10x + 15

54.

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

a)

$5a+6$

b)

$a+30$

c)

$5a+30$

d)

$5a-30$

55.

What is the simplified version of this expression? $7\left(5x-1\right)$

a)

$35x+7$

b)

$35x-1$

c)

$35x-7$

d)

$-35x-7$

56.

3(2c - 5)

a)

6c - 15

b)

6c + 15

c)

6c + 15

d)

-6c - 15

57.

2(c - 8)

a)

2c - 16

b)

2c + 16

c)

2c - 8

d)

c - 16

58.

10 + 15p

a)

5(3+p)

b)

5(2+3n)

c)

5(2+3p)

d)

10(5+2p)

59.

35y+21

a)

3(5y + 21)

b)

3(5y+7)

c)

7(5y+3)

60.

Factor Completely:
24+16q

a)

4(7+4q)

b)

8(3+2q)

c)

4(6q+2)

d)

24(24-16q)

61.

Which expression is equivalent to:

d + d + d + 3 + 2

a)

3d + 5

b)

d + 5

c)

2d + 7

d)

3d + 4

62.

Which expression is equivalent to 2(x + 4)?

a)

2x + 4

b)

2x + 8

c)

x + 8

d)

x + 6

63.

$4x^2+30x$

Factor:

a)

2(x + 15x)

b)

4(x + 15x)

c)

2x(2x + 15)

d)

can't be factored

Algebraic Expressions

Total questions: 63

Worksheet time: 2hrs 20mins

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