1. AIM: Solving One-Step Equations
involving Fractions
Do Now
Write and solve an equation for the
following.
When you multiply a number s by 9 and add 8, the result is
the same as the product of the number s and 7.
1

2. x
2

3. Anticipatory Set
How would you solve the following equation?
2 9
x- =
5 10
Can you think of a different way to solve the problem?
2 9
x- =
5 10
How could you re-write the problem without denominators?
3

4. 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
1 11
x+ =
3 12
4

5. CHECK
1 11
x+ =
3 12
5

6. 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
9 = x- 1
17 2
6

7. CHECK
9 = x- 1
17 2
7

8. 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
3 -5
x- =
8 7
8

9. 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
3 1
x- 1 = 4
4 2
9

10. 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
x+1 1 =
7
2 8
10

11. 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 -9
x+ =
4 10
11

12. Before You Leave
a.) Find and correct the error in my work:
5 2
x+ =
7 5
12

13. Homework
Homework Sheet
13

14. AIM: Solving One-Step Equations
involving Fractions
2 9
x- =
5 10
14

15. 3 -5
x- =
8 7
15

16. 3 1
x- 1 = 4
4 2
16