Simple equations, pre algebra solving equations

SOLVING SIMPLE EQUATIONS

On the previous page, we solved equations using Addition and Subtraction Methods

Here we solve using the Divide and Multiply Methods

HOW TO SOLVE SIMPLE EQUATIONS USING DIVIDE AND MULTIPLY METHODS

If your equation is multiplication, then you use the divide method to solve
If your equation is division, then you use multiply method to solve

To solve With the Divide Method:

EXAMPLE Divide Method
The equation has multiplication, so to solve you use the divide method
4x = 36
Place each side of the equation as fraction over 4 4x∕4 = 36∕4 x = 9

PRACTICE EQUATIONS

Practice Solving Algebra Equations - Divide Method

2x = 12
4x = 16
5x = 25
15x = 45





ANSWERS With Explanations

2x = 12 Place each side of the equation as fraction, over 2
2x ∕2 = 12∕2 x = 6 Verify your answer, replace x with 6 in the equation
2(6) = 12
12 = 12 Each side equals same Your answer is correct

4x = 16 Place each side of the equation as fraction, over 4
4x ∕ 4 = 16 ∕ 4 = x = 4
Verify your answer, replace x with 4 in the equation
4(4) = 16
16 = 16 Each side equals same Your answer is correct

5x = 25 Place each side of equation as fraction over 5
5x ∕ 5 = 25 ∕ 5 = x = 5
Verify your answer, replace x with 5 in the equation
5(5) = 25
25 = 25 Each side equals same, Your answer is correct

To solve With the Multiply Method:

EXAMPLE Multiply Method
x ∕6 = 13 The equation has division; so to solve you use multiply method
6 ∕ 1 (x) x∕6 = 13 x 6 = 78 Add 6 to each side of the equation
Verify your answer replace 78 with the x in the equation
78 ∕ 6 = 13
13 = 13 Each side is the same, your answer is correct

PRACTICE EQUATIONS

Practice Solving Algebra Equations - Multiply Method


x ∕12= 3
x ∕3= 1
x ∕15= 5
x ∕9= 3




ANSWERS With Explanations

x ∕12= 3 To solve we must add 12 to each side of the equation and multiply 12 ∕1 (x) x ∕12 = 3 x 12
x = 36 Now verify your answer replace x in the equation with 36
36 ∕ 12 = 3
3 = 3 Each side of the equation is the same result, your answer is correct

x ∕3= 1 To solve this equation with division we use multiply method, multiply each side by 3
3 ∕1 (x) 3 = 3 x 1
x = 3 Now verify your answer, replace x in the equation with 3
3 ∕3= 1 Each side of the equation is the same result, your answer is correct
1 = 1

x ∕15= 5 To solve we must add 15 to each side of the equation and multiply
15 ∕ 1 (x) 15 = 5 x 15
x = 75 Now verify your answer, replace x in the equation with 75
75 ∕ 15 = 5
5 = 5 Each side of the equation is the same result, your answer is correct.



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