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# Solving Algebraic Equations Using Opposite Operations - PowerPoint PPT Presentation

Solving Algebraic Equations Using Opposite Operations. First Degree Equations (One Step Equations). Solving Equations. An equation is like a balance scale As long as you do the “same thing” to both sides of the “scale” or equation, you do not change the value of the equation

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### Solving Algebraic Equations Using Opposite Operations

First Degree Equations

(One Step Equations)

An equation is like a balance scale

As long as you do the “same thing” to both sides of the “scale” or equation, you do not change the value of the equation

Therefore we can use opposite operations, to balance out an equation, to solve of unknown variables

Given the following equation, use opposite operations to solve for the unknown variable

n + 6 = 14

n + 6 – 6 = 14 -6

n = 8

p + 3.4 = 22

p + 3.4 – 3.4 = 22 – 3.4

p = 18.6

CHECK:

p + 3.4 = 22

18.6 + 3.4 = 22

22 = 22

Given the following equation, use opposite operations to solve for the unknown variable

r – 5 = 12

r – 5 + 5 = 12 + 5

r = 17

p – 9 = 0.9

p – 9 + 9 = 0.9 + 9

p = 9.9

CHECK:

p – 9 = 0.9

9.9 – 9 = 0.9

0.9= 0.9

Given the following equation, use opposite operations to solve for the unknown variable

5n = 25

5n = 25

5 5

n = 5

100 x n = 2000

100 x n ÷ 100 = 2000 ÷ 100

n = 20

CHECK:

100 x n = 2000

100 x 20 = 2000

2000 = 2000

Solving Equations by Multilpying

Given the following equation, use opposite operations to solve for the unknown variable

n / 7 = 7

n / 7 x 7 = 7 x 7

n = 49

n ÷ 100 = 5

n ÷ 100 x 100 = 5 x 100

n = 500

CHECK:

n ÷ 100 = 5

500 ÷ 100 = 5

5 = 5