# Algebra : Solve Equations, Factor Monomials and Find Greatest Common Factor

Solve each equation by performing the same inverse operations to both sides and show steps.

1- 42+7x=0

2- -13r-92=77

3- 757=25n+132

4- x/4-13 =15

5- -13m-348=-23

6- t/13-56=-72

7- 47=-18+ y/8.2

8- -21+a/4=3.4

9- 240=-2.1-6h

10- 3(x+1)=9

11-17-k=-99

12- 6{1/3+m}=20

13- 2(10+x)+4(12-x)=34

Factor the monomial

A- 12 to the power of 2 yz b- 81n to the power of 3 m to the power of 2

Find the gcf

20 x to the power of 2 y to the power of 4, 60xy to the power of 7

64n to the power of 2 m to the power of 7, 80n to the power of 5 m to the power of 5.

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#### Solution Preview

1- 42+7x=0

(42+7x)-42=0-42

7x=-42

x=-42/7

x=-6

2- -13r-92=77

-13r=77+92=169

r=169/(-13)

r=-13

3- 757=25n+132

25n+132=757

25n=757-132=625

n=625/25

n=25

4- x/4-13 =15

x/4=15+13=28

x=4*28

x=112

5- -13m-348=-23

-13m=-23+348=325

m=325/(-13)

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#### Solution Summary

Solving equations, factoring monomials and finding greatest common factor (GCF) are investigated are discussed.