This document provides examples and steps for solving fractional equations by combining like terms. It begins with an example of writing and solving an equation to determine what score is needed on a third exam for the mean score to be 90, given scores of 93 and 80 on the first two exams. It then presents the objective of isolating the variable and lists the rules for solving equations, which include keeping the equation balanced, combining like terms, using inverse operations to move variables to one side. Several worked examples demonstrating these steps are shown. It concludes with a homework assignment to finish the class notes.

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

2. 2

3. 3

4. 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 ?
4

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
w +25 + 12
=7
8
5

6. 1
w +25 + 12
=7
8
6

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
x - 5 + 2 = -10
3
7

8. 2
x - 5 + 2 = -10
3
8

9. 3
Your first four test grades were 85, 92, 72, 95. What
must your score be on the next test to guarantee a 65
for the quarter? Write and solve an equation.
9

10. 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
10

11. 4
3k - 2 - 2 k
=3
4 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
2
x + 1 + 2x = -5
5 3
12

13. 5
2
x + 1 + 2x = -5
5 3
13

14. 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
14

15. 6
3 - 1 x + 6x = 2
4 8 6
15

16. 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
16

17. 7
1
-6 + x + 1 + 4x = 4
8 6
17

18. 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
18

19. Mr. Tjersland's Math 7
Homework: Finish Class Notes
19

20. 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.
20