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Module 3 Topic A "combine like terms"

Total questions: 16

Worksheet time: 16mins

Name
Class
Date
1.

 5a+4b+2b+3a+135a+4b+2b+3a+13  

a)

 27ab27ab  

b)

 13a+13b+1313a+13b+13  

c)

 14ab+1314ab+13  

d)

 8a+6b+138a+6b+13  

2.

 12(6a10)\frac{1}{2}\left(6a-10\right)  

a)

 12a+2012a+20  

b)

 12a2012a-20  

c)

 3a53a-5  

d)

 3a+53a+5  

3.

 5(a+b)(a12)5\left(-a+b\right)-\left(a-12\right)  

a)

 4a5b124a-5b-12  

b)

 6a+5b+12-6a+5b+12  

c)

 6a+5b12-6a+5b-12  

d)

 4a+5b+12-4a+5b+12  

4.

 0.25(20a4)-0.25\left(20a-4\right)  

a)

 12.25a+4.25-12.25a+4.25  

b)

 5a+4-5a+4  

c)

 5a+1-5a+1  

d)

 19.75a3.75-19.75a-3.75  

5.

 10a2+3(4a+2)3a210a^2+3\left(4a+2\right)-3a^2  

a)

 7a2+7a+57a^2+7a+5  

b)

 7a2+12a+67a^2+12a+6  

c)

 19a2+619a^2+6  

d)

 7a2+12a+6-7a^2+12a+6  

6.

 14 (1210a+16)\frac{1}{4\ }\left(12-10a+16\right)  

a)

 184a\frac{18}{4}a  

b)

 52a+20-\frac{5}{2}a+20  

c)

 52a+7-\frac{5}{2}a+7  

d)

 10a +7-10a\ +7  

7.

 3[4(2x5)+2(x+2)]3\left[4\left(2x-5\right)+2\left(x+2\right)\right]  

a)

 30x+4830x+48  

b)

 30x4830x-48  

c)

 30x7230x-72  

d)

 30x+7230x+72  

8.

Select ALL the expressions equivalent to

 5(6x4)-5\left(6x-4\right)  

a)

 2030x20-30x  

b)

 30x20-30x-20  

c)

 30x+20-30x+20  

d)

 2(15x+10)2\left(-15x+10\right)  

e)

 57(6x4)5-7\left(6x-4\right)  

9.

Greg has a coupon for 1/4 off the regular price, p, of a fishing pole. Which expressions represent the price of the fishing pole. Select the TWO correct options. 

a)

 p14p-\frac{1}{4}  

b)

 p14pp-\frac{1}{4}p  

c)

 14p\frac{1}{4}p  

d)

 34p\frac{3}{4}p  

e)

 p34pp-\frac{3}{4}p  

10.

Find the perimeter of the following triangle:

a)

7x+137x+13

b)

7(x+13)7\left(x+13\right)

c)

20x20x

d)

20(x+1)20\left(x+1\right)

11.

Which expressions are a factor of: (Select ALL that applies)

 36xyz12xy+24xyz-36xyz-12xy+24xyz  

a)

4

b)

24

c)

6x

d)

2xy

e)

4xyz

12.

Which expression is equal to

 15175 m+25m15-\frac{17}{5\ }m+\frac{2}{5}m  

a)

 12m12m  

b)

 153m15-3m  

c)

 3(5m)-3\left(5-m\right)  

d)

 3(m5)3\left(m-5\right)  

13.

What is the area of the rectangle?

a)

3x+123x+12

b)

6x+246x+24

c)

21x+3521x+35

d)

15x15x

14.

 4x+124x+12  

What is the following in factored form?

a)

 4(x+12)4\left(x+12\right)  

b)

 4(4x+12)4\left(4x+12\right)  

c)

 4(x+3)4\left(x+3\right)  

d)

 x+12x+12  

15.

Fred and Mike each get paid $8.00 per hour (h). Fred gets paid an extra $14.00 for fixing a broken chair. Which three expressions are equivalent to the amount of money Fred and Mike were paid together?

a)

8h+8h+148h+8h+14

b)

2(8h+14)2\left(8h+14\right)

c)

2(8h)+142\left(8h\right)+14

d)

16h+1416h+14

e)

16h+2816h+28

16.

 3(2.50f)+133\left(2.50-f\right)+13  

Simplify:

a)

 3f20.503f-20.50  

b)

 3f+18.50-3f+18.50  

c)

 3f+20.50-3f+20.50  

d)

 3f18.503f-18.50