Solving Simple, Multi-Step Equations And Equations With Variables On Both Sides Worksheet Page 13
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40Lesson
1.2
Lesson Tutorials
Solving Multi-Step Equations
To solve multi-step equations, use inverse operations to isolate
the variable.
Solving a Two-Step Equation
1 1
EXAMPLE
The height (in feet) of a tree after x years is
1.5x + 15. After how many years is the tree 24 feet tall?
1.5x + 15 =
24
Write an equation.
Subtraction Property
− 15
− 15
Undo the addition.
of Equality
1.5x =
9
Simplify.
1.5x
9
=
—
—
Undo the multiplication.
Division Property of Equality
1.5
1.5
x =
6
Simplify.
So, the tree is 24 feet tall after 6 years.
2 2
Combining Like Terms to Solve an Equation
EXAMPLE
Solve 8x − 6x − 25 = −35.
8x − 6x − 25 = −35
Write the equation.
2x − 25 = −35
Combine like terms.
+ 25
+ 25
Undo the subtraction.
Addition Property of Equality
2x = −10
Simplify.
−10
2x
=
—
—
Division Property of Equality
Undo the multiplication.
2
2
x = −5
Simplify.
The solution is x = −5.
Solve the equation. Check your solution.
1
1. −3z + 1 = 7
x − 9 = −25
3. −4n − 8n + 17 = 23
Exercises 6–9
—
2.
2
12
Chapter 1
Equations
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