1) The document provides examples of solving fractional equations by combining like terms and isolating variables. 2) It gives step-by-step instructions for solving equations, including keeping equations balanced, combining like terms, and using inverse operations to isolate variables. 3) Sample equations are given throughout for students to work through and solve.

1. AIM: Solving Fractional Equations
by Combining Like Terms
Do Now
1

2. 3x 2x 2
-
4 3 = 5
2 3
y+2+ y = -3
3 4
2

3. Anticipatory Set
Your grades on the first two math exams are 93 and 80. For
your mean score to be 90, what must you earn on the third
exam?
Write and solve an equation
for this situation.
93 80 ?
3

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
w +25 + 12
=7
8
4

5. 1
w +25 + 12
=7
8
5

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 + 2 = -10
3
6

7. 2
x - 5 + 2 = -10
3
7

8. 3
Your first four test grades were 85, 92, 72, 95. What
must your score be on the next test to guarantee a 80
for the quarter? Write and solve an equation.
8

9. 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
3k - 2 - 2 k
=3
4 3
9

10. 4
3k - 2 - 2 k
=3
4 3
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
2
x + 1 + 2x = -5
5 3
11

12. 5
2
x + 1 + 2x = -5
5 3
12

13. 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 + 6x = 2
4 8 6
13

14. 6
3 - 1 x + 6x = 2
4 8 6
14

15. 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
-6 + x + 1 + 4x = 4
8 6
15

16. 7
1
-6 + x + 1 + 4x = 4
8 6
16

17. Before You Leave
Your first three test grades were 70, 85, 90. What must
your score be on the next test to guarantee at least an 85
for the third quarter? Write and solve an inequality for
this situation
17

18. Mr. Tjersland's Math 7
Homework: Finish Class Notes
18

19. AIM: Solving Fractional Equations
by Combining Like Terms
Your grades on the first two math exams are 93 and 80. For
your mean score to be 90, what must you earn on the third
exam?
Write and solve an equation
for this situation.
19