The document discusses solving fractional equations by combining like terms. It begins with an anticipatory set asking students to describe how to combine like terms in a sample equation. It then reviews the rules for isolating a variable by keeping equations balanced, combining like terms, using the distributive property, and inverse operations. Several examples are worked through step-by-step demonstrating how to apply these rules to solve equations algebraically for an isolated variable. The document concludes with a word problem asking students to write and solve an equation to find the cost of drinks.

1. AIM: Solving Fractional Equations
by Combining Like Terms
Do Now
Basic Skills Quiz #9
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2. Basic Skills Quiz #9
1.) Subtract and write your answer in simplest form.
3 2
3 8 - 3
2.) Complete the following decimal operation.
32.59 - 7.2
3.) What is the Greatest Common Factor of 16 and 28?
4.) Solve the following equation.
x +5=9
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5.) Round the following to the nearest foot.
5.125 feet
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3. 3

4. 4

5. Anticipatory Set
Describe the following in a complete sentence: How would you
combine like terms in the following equation?
1x - 8 + 2 x
= -5
3 5
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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
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7. 1
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8. 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
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9. 2
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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
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11. 3
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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 y+2+ 3
y = -3
3 4
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13. 4
2 3
y+2+ y = -3
3 4
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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
1.15a + 8 - 0.4a = -7
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15. 5
1.15a + 8 - 0.4a = -7
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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
4 m+1- 1
m=4
9 3
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17. 6 4 m+1- 1
m=4
9 3
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18. 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
3x 2x 2
- =
4 3 5
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19. 7
3x 2x 2
- =
4 3 5
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20. Before You Leave
Juan and Manuel drove to a baseball game together. The
tickets cost $10.50 each and parking was $6. Popcorn cost
$2.25 a box and each of the boys bought a box of popcorn.
Juan bought 1 drink and Manuel bought 2 drinks. The
baseball game and the snacks cost the boys a total of
$39.75. Write and solve an equation to find how much each
of the drinks cost?
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21. Mr. Tjersland's Math 7
Homework: Finish Class Notes
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