1. Solve two-step equations.
Main Idea/Vocabulary

2. Solve Two-Step Equations
Solve 5x + 1 = 26.
Method 1 Use a model.
Remove a 1-tile from the mat.
Example 1

3. Solve Two-Step Equations
Separate the remaining tiles into 5 equal groups.
There are 5 tiles in each group.
Example 1

4. Solve Two-Step Equations
Method 2 Use symbols.
Use the Subtraction Property of Equality.
Write the equation. =
Subtract 1 from each side.
Example 1

5. BrainPop: Two-Step Equations
Solve Two-Step Equations
Use the Division Property of Equality.
Divide each side by 5.
Simplify.
Answer: The solution is 5.
BrainPop: Two-Step Equations
Example 1

6. Solve 3x + 2 = 20.
A. 6
B. 8
C. 9
D. 12 A B C D
Example 1

7. Solve Two-Step Equations
Write the equation.
Subtract 2 from each side.
Simplify.
Multiply each side by 3.
Simplify.
Answer: The solution is –18.
Example 2

8. A. 14
B. 8
C. –26
D. –35 A B C D
Example 2

9. Equations with Negative Coefficients
Write the equation.
Definition of subtraction
Subtract 8 from each side.
Simplify.
Divide each side by –3.
Simplify.
Answer: The solution is –2.
Example 3

10. Solve 5 – 2x = 11.
A. –3
B. –1
C. 2
D. 5 A B C D
Example 3

11. Combine Like Terms First
Solve 14 = –k + 3k –2. Check your solution.
Write the equation.
Identity Property; –k = –1k
Combine like terms; –1k + 3k = (–1 + 3)k or 2k.
Add 2 to each side.
Simplify.
Divide each side by 2.
Simplify.
Example 4

12. Combine Like Terms First
Check
14 = –k + 3k – 2 Write the equation.
14 = –8 + 3(8) – 2 Replace k with 8. ?
14 = – – 2 Multiply. ?
14 = 14 The statement is true. 
Answer: The solution is 8.
Example 4

13. Solve 10 = –n + 4n –5.
A. 3
B. 5
C. 8
D. 10 A B C D
Example 4

14. Use the Distributive Property to rewrite the expression 8(y – 3).
(over Lesson 8-1)
Use the Distributive Property to rewrite the expression 8(y – 3).
A. 8y – 3
B. y – 24
C. 8y – 24
D. 8y + 24 A B C D
Five Minute Check 1

15. Use the Distributive Property to rewrite the expression –2(11m – n).
(over Lesson 8-1)
Use the Distributive Property to rewrite the expression –2(11m – n).
A. –22m + 2n
B. –22m – n
C. –11m + n
D. –11m – n A B C D
Five Minute Check 2

16. Simplify 7k + 9k. A. 15k B. 16k C. 17k D. 18k (over Lesson 8-1) A B C
Five Minute Check 3

17. Simplify 14h – 3 – 11h. A. 3h – 3 B. –3h + 3 C. –3h – 3 D. 3h + 3
(over Lesson 8-1)
Simplify 14h – 3 – 11h.
A. 3h – 3
B. –3h + 3
C. –3h – 3
D. 3h + 3 A B C D
Five Minute Check 4

18. (over Lesson 8-1)
Sara has x number of apples, 3 times as many oranges as apples, and 2 peaches. Write an expression in simplest form that represents the total number of fruits.
A. 3x – 2
B. 3x + 2
C. 4x – 2
D. 4x + 2 A B C D
Five Minute Check 5

19. Which expression represents the perimeter of the triangle?
(over Lesson 8-1)
Which expression represents the perimeter of the triangle?
A. 5x + 1
B. 3x
C. 2x – 1
D. 6x A B C D
Five Minute Check 6

20. End of Custom Shows