This document provides instructions and examples for solving one-step equations by multiplying fractions. It begins with an anticipatory set asking students to complete examples of multiplying fractions. Rules for solving one-step equations are presented, including keeping the equation balanced, combining like terms, and using inverse operations to isolate the variable. Several examples are worked through demonstrating these steps. The document concludes with a homework assignment.

1. AIM: Solving One-Step
Equations by Multiplying
Fractions
Do Now
Solve, graph, and check the following
check
-2x + 14 ≤ -8
1

2. 2

3. 3

4. Anticipatory Set
Complete the following examples.
1
3 3 3
3
1
4 4 4
4
1
5 5 5
5
2.) Describe any conclusions you can make based on the
examples above.
Multiplicative Inverse
4

5. 1 ALGEBRA
The Search for Unknowns
Objective: Isolate the variable to find its value
RULES
1.) Keep the equation balanced
2.) Simplify each side by combining like terms and
using the distributive property.
3.) Move variable to one side using inverse operations.
4.) Use inverse operations
-7
2x =
9
5

6. CHECK
-7
2x =
9
6

7. 2 ALGEBRA
The Search for Unknowns
Objective: Isolate the variable to find its value
RULES
1.) Keep the equation balanced
2.) Simplify each side by combining like terms and
using the distributive property.
3.) Move variable to one side using inverse operations.
4.) Use inverse operations
2 y 13
=
5 15
7

8. CHECK
2 y 13
=
5 15
8

9. 3
ALGEBRA
The Search for Unknowns
Objective: Isolate the variable to find its value
RULES
1.) Keep the equation balanced
2.) Simplify each side by combining like terms and
using the distributive property.
3.) Move variable to one side using inverse operations.
4.) Use inverse operations
5 -2
= x
6 9
9

10. 4 ALGEBRA
The Search for Unknowns
Objective: Isolate the variable to find its value
RULES
1.) Keep the equation balanced
2.) Simplify each side by combining like terms and
using the distributive property.
3.) Move variable to one side using inverse operations.
4.) Use inverse operations
14 y -7
=
25 15
10

11. 5 ALGEBRA
The Search for Unknowns
Objective: Isolate the variable to find its value
RULES
1.) Keep the equation balanced
2.) Simplify each side by combining like terms and
using the distributive property.
3.) Move variable to one side using inverse operations.
4.) Use inverse operations
-10 y -2
=
13 3
11

12. 6
ALGEBRA
The Search for Unknowns
Objective: Isolate the variable to find its value
RULES
1.) Keep the equation balanced
2.) Simplify each side by combining like terms and
using the distributive property.
3.) Move variable to one side using inverse operations.
4.) Use inverse operations
3
= -6y
7
12

13. 7
ALGEBRA
The Search for Unknowns
Objective: Isolate the variable to find its value
RULES
1.) Keep the equation balanced
2.) Simplify each side by combining like terms and
using the distributive property.
3.) Move variable to one side using inverse operations.
4.) Use inverse operations
1 r -7
1 =
6 20
13

14. 8
ALGEBRA
The Search for Unknowns
Objective: Isolate the variable to find its value
RULES
1.) Keep the equation balanced
2.) Simplify each side by combining like terms and
using the distributive property.
3.) Move variable to one side using inverse operations.
4.) Use inverse operations
3 r 1
-2 = -12
4 2
14

15. Before You Leave
1.) What would we multiply each side of the following
equation to solve for x.
ax = 27
2.) What is x equal to?
15

16. Homework
Homework Sheet
16

17. AIM: Solving One-Step Equations
by Multiplying Fractions
-7
2x =
9
17

18. -10 y -2
=
13 3
18

19. 1 r -7
1 =
6 20
19

20. Attachments
Day 1 Multiplicative and Additive Inverse.notebook