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Unit 3 - Algebraic Expressions

Total questions: 20

Worksheet time: 1hrs 23mins

Name
Class
Date
1.

Simplify.

7x + 4 -2x+3

a)

5x+7

b)

9x+7

c)

10x-2

d)

5+7x

2.

Simplify

8z -6 -10z+8

a)

18z+2

b)

2z+14

c)

-2z+2

d)

-2z-14

3.

Distribute

3(y+2)

a)

3y+5

b)

3-6y

c)

3y-6

d)

3y+6

4.

Distribute.

-3(-5x+1)

a)

15x-3

b)

-15x-3

c)

15x-2

d)

-15x-2

5.

Distribute

4(-x+3)

a)

4x+7

b)

-4x+12

c)

4x+3

d)

-4x-12

6.

Expand

-5(a-6)+2a

a)

-3a+30

b)

3a+30

c)

-7a-30

d)

-3a-30

7.

Use the GCF to factor 24c-18

a)

6(4c+3)

b)

6(4c-3)

c)

2(12c-9)

d)

2(-12c+9)

8.

Simplify.

15-4x+20-7x+3

a)

11x+35

b)

3x+38

c)

11x+38

d)

11x+8

9.

Distribute and combine like terms

-5(a-6)+2a

a)

-3a+30

b)

7a+30

c)

3a-30

d)

-7a-30

10.

Use the distributive property to simply the expression.

4n-(7-6n)

a)

-10n-7

b)

-2n-7

c)

2n+7

d)

10n-7

11.

Expand and combine

-3 - 7(-3 - 6v)

a)

42v-18

b)

42v+18

c)

30v+18

d)

60v+30

12.

Factor out the GCF of 20c+48

a)

8(2c+6)

b)

4(5c+48)

c)

2(10c+24)

d)

4(5c+12)

13.

Factor the expression 8x+20

a)

2x(4+10)

b)

4(2x+5)

c)

4(2x-5)

d)

2(4x+10)

14.

Factor: 12x + 9

a)

3(4x + 3)

b)

x(12+9)

c)

3(4x - 3)

d)

not factorable

15.
Factor:
-3x - 18
a)
-3(x-6)
b)
-3(x+6)
c)
cannot be factored
d)
-(3x-18)
16.

Factor the expression.

-44x + 8

a)

4(11x+2)

b)

4(-11x-2)

c)

4(11x-2)

d)

-4(11x-2)

17.
Factor:  
4x + 30y
a)
2(x + 15y)
b)
4(x + 15y)
c)
2(2x + 15y)
d)
can't be factored
18.
Factor  7x + 48y.
a)
7(x + 7y)
b)
7(x + y)
c)
cannot be factored
d)
7(x + 48y)
19.

Factor

24x + 6

a)

6(4x + 1)

b)

2(12x + 3)

c)

can't be factored

d)

6(4x)

20.

Simplify the following expression:

-7x + 5(1 - 8x)

a)

-33x + 5

b)

33x + 5

c)

47x + 5

d)

-47x + 5