Free Printable Equivalent Algebraic Expressions

1.

SELECT ALL THAT ARE TRUE

When identifying and combining like terms it is important to remember to...

a)

Associate the sign in front of the term with it

b)

Only combine positive numbers with positive numbers, and negative numbers with negative numbers

c)

Confirm that the terms not only have the same variable, but also the same exponent if present

d)

Find a common denominator to combine fraction terms

2.

Simplify the expression

(5.4y − 2.4 + 9.88y) + (17.65 + 11.2y)

3.

Simplify the expression

9 − (8 − 2x)

4.

What is the result when $\left(7\frac{6}{13}x+2\right)$ is added to $\left(13-4\frac{2}{26}x\right)$

a)

$3\frac{10}{26}x+15$

b)

$2\frac{4}{13}x+12$

c)

$5\frac{8}{3}x-7$

d)

$-6\frac{8}{22}x+19$

5.

What is the result when $\frac{7}{12}x+\frac{9}{4}$ is subtracted from $\frac{23}{6}x-\frac{17}{4}$ ?

6.

Simplify the expression

$(10x+18)−(0.5x−7−0.42x)$

7.

Simplify the expression

$\left(-3.7x-9.2\right)-\left(2.1x-12.7\right)$

8.

Simplify the expression

$4.6\left(y-3\right)-7\left(1.3y+0.4\right)$

9.

Which of the following expressions is equivalent to $-\frac{4}{3}\left(7x-4\right)-\frac{5}{6}x$

a)

$5x$

b)

$-\frac{38}{13}x+\frac{16}{3}$

c)

$-\frac{61}{6}x+\frac{16}{3}$

d)

$\frac{44}{3}x-6$

10.

Select all of the expressions that are equivalent to the expression shown below.

$(6−0.5c)−(c−3.7)$

** There are TWO answers **

a)

$−1.6c−9.7$

b)

$6−0.5c−c+3.7$

c)

$1.5c−0.3$

d)

$−1.5c+9.7$

e)

$6+0.5c+c−0.3$

11.

Which property tells you to multiply the all terms inside parentheses by the term on the outside in front of the parentheses? Example: $3\left(2x+5\right)$ --> $6x+15$

a)

Associative Property

b)

Commutative Property

c)

Distributive Property

d)

Parentheses Property

12.

Which property tells you the order in which you ADD terms does not matter?

a)

Associative Property

b)

Commutative Property

c)

Distributive Property

d)

Parentheses Property

13.

Which property tells you that the way you group terms in ADDITION or MULTIPICATION problems does not matter?

a)

Associative Property

b)

Commutative Property

c)

Distributive Property

d)

Parentheses Property

14.

What is the result when $\frac{6}{5}a-3$ is subtracted from $\frac{7}{10}a+10$ ?

15.

Which expression is equivalent to 8c + 6 − 3c − 2 ?

a)

5c + 8

b)

11c + 4

c)

5c + 4

d)

11c + 8

16.

Which expression is equivalent to the expression −3 (4x − 2) − 2x ?

a)

−14x + 6

b)

−14x − 2

c)

−16x

d)

−8x

17.

Which expression is equivalent to 7a − 8 − 12a + 4 ?

a)

−9a

b)

−5a − 4

c)

19a + 12

d)

31a

18.

Simplify: -24 - 13x - 18x + 24

a)

-31x + 48

b)

-31x

c)

-31x - 48

d)

-31x - 24

19.

Solve: $\frac{1}{8}-\left(-\frac{5}{2}\right)$

a)

$\frac{3}{5}$

b)

$-\frac{19}{9}$

c)

$\frac{21}{8}$

d)

$\frac{2}{3}$

20.

Solve: $\frac{4}{5}\times\left(-\frac{2}{3}\right)$

a)

$-\frac{6}{8}\ \ or\ \ -\frac{3}{4}$

b)

$\frac{6}{8}\ \ or\ \ \frac{3}{4}$

c)

$-\frac{8}{15}$

d)

$\frac{8}{15}$

21.

Simplify and combine like terms: 5p-3q+2-4p+5+4q

a)

p-q+7

b)

-p-q-7

c)

-p+q+7

d)

p+q+7

22.

Simplify by combining like terms: 5a + 2b - 3a + 4

a)

8ab

b)

4ab + 4

c)

8a + 2b + 4

d)

2a + 2b + 4

23.

Simplify the following expression:

(5 + 4x) + (2x - 8)

a)

6x - 3

b)

6x - 13

c)

13 + 6x

d)

6x + 3

24.

Simplify & combine like terms:

$\frac{1}{3}\left(9-3x\right)+\frac{1}{2}\left(2x+6\right)$

a)

$9x$

b)

$9x-6$

c)

$6$

d)

$2x+6$

25.

Simplify the expression:

$\frac{3}{4}\left(2x-\frac{5}{6}\right)$

a)

$\frac{6}{4}x+\frac{5}{8}$

b)

$\frac{3}{2}x-\frac{5}{6}$

c)

$\frac{3}{2}x-\frac{5}{8}$

d)

$6x-5$

Equivalent Algebraic Expressions

Total questions: 25

Worksheet time: 4hrs 52mins

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