Free Printable Simplifying Algebraic Expressions

1.

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

a)

numeric expression

b)

term

c)

variable

d)

algebraic expression

2.

A number on its own is known as a _______________.

a)

Term

b)

Variable

c)

Coefficient

d)

Constant

3.

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

4.

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

5.

Terms in an algebraic expression that have identical variables are called

(a)

6.

When identifying like terms, we look for terms with the ...

a)

same co-efficients

b)

same pronumerals and same powers

c)

same powers

d)

same pronumerals

7.

Which of the following is a like term with $5g$

a)

$8g$

b)

$5h$

c)

$5g^2$

d)

$5gh$

8.

Identify the like terms

a)

$8xy$

b)

$8x^2y$

c)

$23yx$

d)

$23xy^2$

e)

none of the above

9.

Identify the like terms

a)

5xy

b)

$5y$

c)

$11xy$

d)

$14yx$

e)

None of the Above

10.

Identify the Like Terms

a)

$5ab$

b)

$5a^b$

c)

$6^{ab}$

d)

$6ab$

e)

none of the above

11.

Identify the like terms

a)

$2xyz$

b)

$x^2yz$

c)

$xyz^2$

d)

$xy^2z$

e)

None of the above

12.

Combining groups of like terms together is referred to as (a) an expression?

13.

Simplify: n -10 +9n -3

a)

-3

b)

9n-3

c)

n

d)

10n -13

14.

Simplify: 3n + 5p + 2 + n

a)

10np

b)

8np+2+n

c)

4n+5p+2

d)

11np

15.

Simplify: 5a + 2 - 3a + 4

a)

8a + 6

b)

2a + 6

c)

8a

d)

2a - 2

e)

8a-2

16.

Simplify: 5a + 2b - 3a + 4

a)

8a + 2b + 4

b)

2a + 2b + 4

c)

8ab

d)

4ab + 4

17.

Simplify: a + a + a + a

a)

a + 4

b)

4a

c)

a to the fourth power

d)

4a + 4

18.

Simplify: x + y + y + x+ y

a)

2 + 3

b)

x + y

c)

2x + 3y

d)

5xy

19.

Simplify: 3x - 5x

a)

2x

b)

8x

c)

-2x

d)

15x²

20.

Simplify: 3x + 2x

a)

5x

b)

x

c)

6x

d)

5

21.

Simplify: 2x + 1 + 7x

a)

10x

b)

10

c)

9x + 1

d)

9 + 1x

22.

Simplify: 5a + 2b - 3a + 4

a)

8a + 2b + 4

b)

2a + 2b + 4

c)

8ab

d)

4ab + 4

23.

Simplify: 2x + 1 + 7x

a)

10x

b)

10

c)

9x + 1

d)

9 + 1x

24.

Simplify: 7v + 2 + 12 + 2v

a)

23

b)

23v

c)

9 + 14v

d)

9v + 14

25.

Simplify: -6k +7k

a)

k

b)

-k

c)

13k

d)

-13k

26.

Simplify: W - 10 + 9W - 3

a)

10W+7

b)

9W-5

c)

9W +13

d)

10W -13

27.

3 x a = ...

a)

a

b)

3a

c)

a³

d)

3a³

28.

a x a = ...

a)

a

b)

2a

c)

a²

d)

2a²

29.

2a x 3a = ...

a)

6a

b)

6a²

c)

2a²

d)

a²

30.

5a x 4b = ...

a)

5ab

b)

4ab

c)

20ab

d)

ab

31.

-4a x 3abc = ...

a)

12abc

b)

-12abc

c)

12a²bc

d)

-12a²bc

32.

$\frac{10x}{5}=$

a)

$2x$

b)

$5x$

c)

$2$

d)

$5$

33.

$\frac{7b}{b}=$

a)

$7b$

b)

$7$

c)

$b$

d)

$7b^2$

34.

$\frac{12a}{3}=$

a)

$4a$

b)

$4$

c)

$6a$

d)

$3$

35.

$\frac{20mn}{10m}=$

a)

$2n$

b)

$2$

c)

$2mn$

d)

$2m^2n$

36.

$\frac{def}{e}=$

a)

$df$

b)

$def$

c)

$de$

d)

$ef$

37.

Simplify: -4W - 10W

a)

6W

b)

-6W

c)

-14W

d)

14W

38.

$ab\ \times\ a$

a)

$a$

b)

$b$

c)

$2ab$

d)

$a^2b$

39.

Simplify: -2x + 11 + 6x

a)

8x+11

b)

4x +11

c)

4x

d)

15x

40.

$\frac{100gh}{20g}=$

a)

$5gh$

b)

$5h$

c)

$5$

d)

$10gh$

41.

Simplify: -2X + 11 +6X

a)

4X+11

b)

-4X-11

c)

4X-11

d)

2X-11

42.

$\frac{1}{2}a\times4ab=...$

a)

$2b$

b)

$2a^2b$

c)

$2ab$

d)

$4ab$

43.

$\frac{15x}{5x}=$

a)

$3x$

b)

$3$

c)

$5x$

d)

$x^2$

44.

Simplify: 4p - 7 + 6p + 10

a)

13p

b)

10p+17

c)

10p+3

d)

-3+10p

45.

$5rs\ \times\ 7st\ =$

a)

$35rst$

b)

$35rs^2t$

c)

$12rst$

d)

$12rs^2t$

46.

$\frac{18pq}{6p}=$

a)

$3$

b)

$3q$

c)

$2$

d)

$2pq$

47.

$\frac{24h}{4h}=$

a)

$6h$

b)

$6$

c)

$8h$

d)

$8$

48.

Simplify: 12y - 8 + 4y + y

a)

17y - 8

b)

16y-8

c)

9y

d)

8y+y

49.

$3tv\ \times2t\ \times\ 4v=$

a)

$9tv$

b)

$24t^2v^2$

c)

$24tv$

d)

$9tvtv$

50.

Simplify by combining like terms

$2x^3\ +\ 2x\ +\ 2x^3\ +\ 2x$

a)

$8x$

b)

$8x^3$

c)

$4x^3\ +\ 4x$

d)

$2x^6$

Simplifying Algebraic Expressions

Total questions: 50

Worksheet time: 49mins

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