Post on 08-Feb-2022
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
3
INTRODUCTION
Section 2.1 Learning Guide
4
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
5
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.
1.
6
Section 2.1 Learning Guide
EXAMPLE: Determine if the given value is a solution of the given equation.
2.
7
Section 2.1 Learning Guide
EXAMPLE: Determine if the given value is a solution of the given equation.
3.
8
PRACTICE: Determine if the given value is a solution of the given equation.
Section 2.1 Learning Guide
1.
2.
3.
4.
9
PRACTICE: Answers Determine if the given value is a solution of the given equation.
Section 2.1 Learning Guide
1.
2.
3.
4.
10
NO
NO
YES
YES
SOLVING AN EQUATION
Section 2.1 Learning Guide
11
SOLVING ONE-STEP EQUATIONS (WITH ADDITION AND SUBTRACTION)
Section 2.1 Learning Guide
12
EXAMPLE: Solve the equation.
1.
Section 2.1 Learning Guide
EXAMPLES: Solve the equation.
2.
3.
13
Section 2.1 Learning Guide
EXAMPLE: Solve the equation.
4.
14
PRACTICE: Solve the equation. Be sure to write out all the algebra steps.
Section 2.1 Learning Guide
1.
2.
3.
4.
15
PRACTICE: Answers Solve the equation. Be sure to write out all the algebra steps.
Section 2.1 Learning Guide
1.
2.
3.
4.
16
6h
7w
3.4c
11
9x
SOLVING ONE-STEP EQUATIONS (WITH MULTIPLICATION AND DIVISION)
Section 2.1 Learning Guide
17
EXAMPLE: Solve the equation.
1.
WATCH: SOLVING EQUATIONS WITH MULTIPLICATION OR DIVISION
Section 2.1 Learning Guide
EXAMPLE: Solve the equation.
2.
18
Section 2.1 Learning Guide
EXAMPLE: Solve the equation.
3.
19
Section 2.1 Learning Guide
EXAMPLE: Solve the equation.
4.
20
PRACTICE: Solve the equation. Be sure to write out all the algebra steps.
Section 2.1 Learning Guide
1.
2.
3.
21
PRACTICE: Answers Solve the equation. Be sure to write out all the algebra steps.
Section 2.1 Learning Guide
1.
2.
3.
22
6x
16y
35a
PRACTICE: Solve the equation. Be sure to write out all the algebra steps.
Section 2.1 Learning Guide
4.
5.
6.
23
PRACTICE: Answers Solve the equation. Be sure to write out all the algebra steps.
Section 2.1 Learning Guide
4.
5.
6.
24
24a
5w
13.5x
SOLVING TWO-STEP EQUATIONS
Section 2.1 Learning Guide
25
Now you will learn to solve equations that require two steps.
Section 2.1 Learning Guide
EXAMPLES: Solve the equation.
1.
2.
26
Section 2.1 Learning Guide
EXAMPLE: Solve the equation.
3.
27
Section 2.1 Learning Guide
EXAMPLE: Solve the equation.
4.
28
PRACTICE: Solve the equation. Be sure to write out all the algebra steps.
Section 2.1 Learning Guide
1.
2.
3.
4.
29
PRACTICE: Answers Solve the equation. Be sure to write out all the algebra steps.
Section 2.1 Learning Guide
1.
2.
3.
4.
30
3x
7
3x
3.2x
12x
TRANSLATING WORDS TO MATH
Section 2.1 Learning Guide
31
Now you will translate English words into algebraic equations and then solve the equations as you already learned.
Section 2.1 Learning Guide
32
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.
1.
33
Section 2.1 Learning Guide
EXAMPLE: Translate the words into an algebraic equation, then solve the equation.
2.
34
Section 2.1 Learning Guide
EXAMPLE: Translate the words into an algebraic equation, then solve the equation.
3.
35
PRACTICE: Translate the words into an algebraic equation, then solve the equation.
Section 2.1 Learning Guide
1.
2.
3.
4.
36
PRACTICE: Answers Translate the words into an algebraic equation, then solve the equation.
Section 2.1 Learning Guide
1.
2.
3.
4.
37
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
38
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