1. AIM: Solving Two-Step
Equations involving Fractions
Do Now
Find the Greatest Common Factor and Least Common Multiple of
the following. Remember to show factor trees and the prime
factorization for all the numbers involved. [3 points]
a.) 36, 60, 84
Greatest Common Factor = _______
Least Common Multiple = __________
1

2. Homework
2

3. Anticipatory Set
Find, Correct, and Explain my mistake in
the following problem.
3 = 1
2y -
5 2
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 x + 2 = -2
3
4

5. 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
3 x-4 -1
=
8 4
5

6. 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
1 x+3
6 =
5
6

7. 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
2d + 9 = 11
6
7

8. 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
5 a = 1
-
6 4 3
8

9. 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
x-5 = -10
3
9

10. The school purchased baseball
equipment and uniforms for a total cost
of $1326. The equipment costs
$598.50 and the uniforms were $24.25
each. How many uniforms did the school
purchase? Write and solve an equation
for this situation.
10

11. 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
1.4x + 0.8 = -1.3
11

12. 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
24.5 = 1.61 - 2.4r
12

13. Before You Leave
Trade an Equation
Create a word problem conatining fractions with your partner.
Trade with a neighboring partnership and solve.
13

14. Mr. Tjersland's Math 7
Homework: Homework Sheet
14

15. AIM: Solving Two-Step
Equations involving Fractions
3 x-4 -1
=
8 4
15

16. CHECK
3 x-4 -1
=
8 4
16

17. 5 a = 1
-
6 4 3
17