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Math 081
Section 2.1 Learning Guide
Section 2.1
One and Two Step Equations
1
DIRECTIONS
As you work through this Learning Guide, you should:
read carefully
take notes
do the PRACTICE problems on your own
check your answers to the PRACTICE problems
watch the videos by clicking on the icons
IMPORTANT: Get help if you don’t understand a topic.
Section 2.1 Learning Guide
2
QUICK LINKS:
Use the links below to go directly to a topic.
Introduction
Solutions of Equations
Solving an Equation
Solving One-Step Equations (with Addition and Subtraction)
Solving One-Step Equations (with Multiplication and Division)
Solving Two-Step Equations
Translating Words to Math
Section 2.1 Learning Guide
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INTRODUCTION
Section 2.1 Learning Guide
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In the previous chapter you learned to simplify algebraic expressions.
In this chapter you will learn to solve algebraic equations.
SOLUTIONS OF EQUATIONS
Section 2.1 Learning Guide
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A solution of an equation is the number that can be put in place of the variable to make the equation true.
Section 2.1 Learning Guide
EXAMPLE: Determine if the given value is a solution of the given equation.
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Section 2.1 Learning Guide
EXAMPLE: Determine if the given value is a solution of the given equation.
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Section 2.1 Learning Guide
EXAMPLE: Determine if the given value is a solution of the given equation.
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PRACTICE: Determine if the given value is a solution of the given equation.
Section 2.1 Learning Guide
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PRACTICE: Answers Determine if the given value is a solution of the given equation.
Section 2.1 Learning Guide
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NO
NO
YES
YES
SOLVING AN EQUATION
Section 2.1 Learning Guide
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SOLVING ONE-STEP EQUATIONS (WITH ADDITION AND SUBTRACTION)
Section 2.1 Learning Guide
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EXAMPLE: Solve the equation.
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Section 2.1 Learning Guide
EXAMPLES: Solve the equation.
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Section 2.1 Learning Guide
EXAMPLE: Solve the equation.
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PRACTICE: Solve the equation. Be sure to write out all the algebra steps.
Section 2.1 Learning Guide
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PRACTICE: Answers Solve the equation. Be sure to write out all the algebra steps.
Section 2.1 Learning Guide
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6h
7w
3.4c
11
9x
SOLVING ONE-STEP EQUATIONS (WITH MULTIPLICATION AND DIVISION)
Section 2.1 Learning Guide
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EXAMPLE: Solve the equation.
1.
WATCH: SOLVING EQUATIONS WITH MULTIPLICATION OR DIVISION
Section 2.1 Learning Guide
EXAMPLE: Solve the equation.
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Section 2.1 Learning Guide
EXAMPLE: Solve the equation.
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Section 2.1 Learning Guide
EXAMPLE: Solve the equation.
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PRACTICE: Solve the equation. Be sure to write out all the algebra steps.
Section 2.1 Learning Guide
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PRACTICE: Answers Solve the equation. Be sure to write out all the algebra steps.
Section 2.1 Learning Guide
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6x
16y
35a
PRACTICE: Solve the equation. Be sure to write out all the algebra steps.
Section 2.1 Learning Guide
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PRACTICE: Answers Solve the equation. Be sure to write out all the algebra steps.
Section 2.1 Learning Guide
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24a
5w
13.5x
SOLVING TWO-STEP EQUATIONS
Section 2.1 Learning Guide
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Now you will learn to solve equations that require two steps.
Section 2.1 Learning Guide
EXAMPLES: Solve the equation.
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Section 2.1 Learning Guide
EXAMPLE: Solve the equation.
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Section 2.1 Learning Guide
EXAMPLE: Solve the equation.
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PRACTICE: Solve the equation. Be sure to write out all the algebra steps.
Section 2.1 Learning Guide
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PRACTICE: Answers Solve the equation. Be sure to write out all the algebra steps.
Section 2.1 Learning Guide
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3x
7
3x
3.2x
12x
TRANSLATING WORDS TO MATH
Section 2.1 Learning Guide
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Now you will translate English words into algebraic equations and then solve the equations as you already learned.
Section 2.1 Learning Guide
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Solving word problems involves writing a mathematical equation to represent the problem and then solving the equation.
Section 2.1 Learning Guide
EXAMPLE: Translate the words into an algebraic equation, then solve the equation.
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Section 2.1 Learning Guide
EXAMPLE: Translate the words into an algebraic equation, then solve the equation.
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Section 2.1 Learning Guide
EXAMPLE: Translate the words into an algebraic equation, then solve the equation.
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PRACTICE: Translate the words into an algebraic equation, then solve the equation.
Section 2.1 Learning Guide
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PRACTICE: Answers Translate the words into an algebraic equation, then solve the equation.
Section 2.1 Learning Guide
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4 18
22
x
x
23 4
27
x
x
2.8 84
30
x
x
3 10 11
7
x
x
Section 2.1 Learning Guide
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This is the end of the PowerPoint Learning Guide for Section 2.1.
Return to Section 2.1 of the Brightspace course to:
study the Summary
complete the Exercise Set
