Solving algebraic equations using opposite operations
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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

Solving Algebraic Equations Using Opposite Operations

First Degree Equations

(One Step Equations)


Solving 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

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


Solving equations by subtraction
Solving Equations by Subtraction

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


Solving equations by addition
Solving Equations by Addition

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


Solving equations by dividing
Solving Equations by Dividing

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
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


Homework
Homework

http://studyjams.scholastic.com/studyjams/jams/math/algebra/add-sub-equations.htm

http://studyjams.scholastic.com/studyjams/jams/math/algebra/mult-div-equations.htm


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