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Worksheets

1-3 & 1-4 Practice

Total questions: 20

Worksheet time: 2hrs 40mins

Name
Class
Date
1.

What are the 2 criteria for like terms? Select all that apply.

a)

Same variables

b)

Only constants can be like terms

c)

Same coefficients

d)

Same powers

2.

Which of the following are like terms? Select all that apply.

a)

7x47x^4 and 100x4100x^4

b)

yy and 12x\frac{1}{2}x

c)

pp and 9p9p

d)

−8-8 and 6262

e)

16g16g and g2g^2

3.

Combine like terms.

 3y+6y3y+6y  

a)

 9y9y  

b)

 3y3y  

c)

 −9y-9y  

d)

 99  

4.

Combine like terms.

 8+4c−28+4c-2  

a)

 4c+64c+6  

b)

 10c10c  

c)

 4c+104c+10  

d)

 8+4c−28+4c-2  

5.

Combine like terms.
 9w2−12w9w^2-12w  

a)

 −3w-3w  

b)

 3w(3w−4)3w\left(3w-4\right)  

c)

 21w221w^2  

d)

Cannot combine. No like terms.

6.

Combine all like terms.

 4s−8s+2+34s-8s+2+3  

a)

 −4s+5-4s+5  

b)

 4s+14s+1  

c)

 17s17s  

d)

 −4s+2+3-4s+2+3  

7.

Combine like terms.

 b−3bb-3b  

a)

 −2b-2b  

b)

 4b4b  

c)

 44  

d)

 2b2b  

8.

Combine like terms.

 17k+19+13−12k17k+19+13-12k  

a)

 5k+325k+32  

b)

 29k+3229k+32  

c)

 37k37k  

d)

 5k+65k+6  

9.

Combine like terms.

 6x+3+7−12x6x+3+7-12x  

a)

 −6x+10-6x+10  

b)

 44  

c)

 9x−59x-5  

d)

 10+6x10+6x  

10.

Combine like terms.
 12x+6y12x+6y  

a)

 18x18x  

b)

 66  

c)

 6(2x+y)6\left(2x+y\right)  

d)

Cannot combine. No like terms.

11.

Combine like terms.

 13r+r13r+r  

a)

 14r14r  

b)

 12r12r  

c)

 −14r-14r  

d)

 −12r-12r  

12.

What operation is performed when distributing.

a)

Addition

b)

Subtraction

c)

Multiplication

d)

Distribution

13.

Distribute.

 9(2x+6)9\left(2x+6\right)  

a)

 18x+5418x+54  

b)

 11x+611x+6  

c)

 72x72x  

d)

 2x+62x+6  

14.

Distribute.

 −(5x−12)-\left(5x-12\right)  

a)

 −5x+12-5x+12  

b)

 5x+125x+12  

c)

 17x17x  

d)

 7x7x  

15.

Distribute and combine like terms.

 6(2d+3)+56\left(2d+3\right)+5  

a)

 12d+2312d+23  

b)

 2d+82d+8  

c)

 35d35d  

d)

 12d+18+512d+18+5  

16.

Distribute and combine like terms.

 9−2(3x+8)9-2\left(3x+8\right)  

a)

 −6x−7-6x-7  

b)

 13x13x  

c)

 6x+176x+17  

d)

 21x+5621x+56  

17.

Distribute and combine like terms.
 −5(a−6)+2a-5\left(a-6\right)+2a  

a)

 −3a+30-3a+30  

b)

 27a27a  

c)

 −5a+30+2a-5a+30+2a  

d)

 7a−307a-30  

18.

Distribute and combine like terms. −3−7(−3+6x)+10x-3-7\left(-3+6x\right)+10x  

a)

 18−32x18-32x  

b)

 24+52x24+52x  

c)

 −14x-14x  

d)

 30−50x30-50x  

19.

Distribute and combine like terms. 9(m+8)+11(3m+4)9\left(m+8\right)+11\left(3m+4\right)  

a)

 42m+11642m+116  

b)

 158m158m  

c)

 4m+124m+12  

d)

 2020  

20.

Distribute and combine like terms. 3(8r+3)−5(−5+6r)3\left(8r+3\right)-5\left(-5+6r\right)  

a)

 −6r+34-6r+34  

b)

 54r−1654r-16  

c)

 28r28r  

d)

 4040