1. Main Idea/Vocabulary Write two-step equations that represent real-life situations.

2. Example 1 Translate Sentences into Equations Translate three more than half a number is 15 into an equation. Answer:

3. 1.A 2.B 3.C 4.D Example 1 Translate five more than one-third a number is 7 into an equation. A. B. C. D.

4. Example 2 Translate Sentences into Equations Translate nineteen is two more than five times a number into an equation. Answer: 19 = 5n + 2

5. 1.A 2.B 3.C 4.D Example 2 A.15 = 3n + 6 B.15 = 6n + 3 C.15 = 3(n + 6) D.15 = 6(n + 3) Translate fifteen is three more than six times a number into an equation.

6. Example 3 Translate Sentences into Equations Translate eight less than twice a number is –35 into an equation. Answer: 2n – 8 = –35

7. 1.A 2.B 3.C 4.D Example 3 A.3(n – 6) = –22 B.6(n – 3) = –22 C.3n – 6 = –22 D.6n – 3 = –22 Translate six less than three times a number is –22 into an equation.

8. Example 4 TRANSPORTATION A taxi ride costs $3.50 plus $2 for each mile traveled. If Jan pays $11.50 for the ride, how many miles did she travel? Words$3.50 plus $2 per mile equals $11.50 VariableLet m represent the number of miles driven. Equation3.50 + 2m = 11.50

9. Example 4 3.50 + 2m = 11.50Write the equation. 3.50 – 3.50 + 2m= 11.50 – 3.50 Subtract 3.50 from each side. 2m = 8Simplify. Answer: Jan traveled 4 miles. Divide each side by 2. Simplify.

10. 1.A 2.B 3.C 4.D Example 4 A.200 miles B.250 miles C.300 miles D.325 miles TRANSPORTATION A rental car costs $100 plus $0.25 for each mile traveled. If Kaya pays $162.50 for the car, how many miles did she travel?

11. Example 5 DINING You and your friend spent a total of $33 for dinner. Your dinner cost $5 less than your friend’s. How much did you spend for dinner? WordsYour friend’s dinner plus your dinner equals $33. VariableLet f represent the cost of your friend’s dinner. Equationf + f – 5 = 33

12. Example 5 f + f – 5= 33Write the equation. 2f – 5= 3Combine like terms. 2f – 5 + 5= 33 + 5Add 5 to each side. 2f= 38Simplify. Answer: Your friend spent $19 on dinner. So you spent $19 – $5, or $14, on dinner. f = 19Simplify. Divide each side by 2.

13. 1.A 2.B 3.C 4.D Example 5 A.$22 B.$26 C.$28 D.$30 DINING You and your friend spent a total of $48 for dinner. Your dinner cost $4 more than your friend’s. How much did you spend for dinner?

14. 1.A 2.B 3.C 4.D Five Minute Check 1 Solve 3n + 2 = 8. Then check your solution. (over Lesson 8-2) A.2 B. C. D.4

15. 1.A 2.B 3.C 4.D Five Minute Check 2 Solve 6n – 3 = 21. Then check your solution. (over Lesson 8-2) A. B.3 C. D.4

16. 1.A 2.B 3.C 4.D Five Minute Check 3 A.–5 B.–1 C.1 D.5 Solve 2 = 3 – a. Then check your solution. (over Lesson 8-2)

17. 1.A 2.B 3.C 4.D Five Minute Check 4 A.–16 B.–6 C.6 D.16 Solve –5 + 2a – 3a = 11. Then check your solution. (over Lesson 8-2)

18. 1.A 2.B 3.C 4.D Five Minute Check 5 Jack traveled 5 miles plus 3 times as many miles as Janice. He traveled 23 miles in all. How far did Janice travel? (over Lesson 8-2) A.18 miles B. C. D.6 miles

19. 1.A 2.B 3.C 4.D Five Minute Check 6 If 3x – 2 = 16, which choice shows the value of 2x – 3? (over Lesson 8-2) A. B.6 C.9 D.15

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