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. I need install molding in my living room. I
need a total length of 9/10 ft. I already
have a 2/5 ft piece installed. Write and
solve an equation to find the length of the
other piece.
x
2

3. Anticipatory Set
How would you solve the following equation?
2 9
x+ =
5 10
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
Castle Homework #10 due
tomorrow
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