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Example 1: Translate Sentences into Equations

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2 Example 1: Translate Sentences into Equations
Main Idea Example 1: Translate Sentences into Equations Example 2: Translate Sentences into Equations Example 3: Translate Sentences into Equations Example 4: Real-World Example Example 5: Real-World Example Lesson Menu

3 Write two-step equations that represent real-world situations.
Main Idea/Vocabulary

4 Translate Sentences into Equations
Translate the sentence into an equation. Three more than half a number is 15. Answer: n + 3 = 15 __ 1 2 Example 1

5 Translate the sentence into an equation
Translate the sentence into an equation. Five less than twice a number is –7. A. 2n + (–7) = –5 B. 2n + 5 = –7 C. 2n – 7 = 5 D. 2n – 5 = –7 Example 1 CYP

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

7 Translate the sentence into an equation
Translate the sentence into an equation. Four is ten more than half a number. A. 4 = (10) + n B. 10 = n + 4 C. 4 = n + 10 D. 4 = n – 10 __ 1 2 Example 2 CYP

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

9 Translate the sentence into an equation
Translate the sentence into an equation. The difference between 3 times a number and 5 is 1. A. 3n + 1 = –5 B. 3n – 5 = 1 C. 3n + 5 = 1 D. 3n + 1 = 5 Example 3 CYP

10 MEMBERSHIPS Membership at the health club is $15 per month plus $10 for each exercise class taken. Jill paid $75 for the month of September. Write and solve an equation to find the number of exercise classes Jill took in September. Example 4

11 – 15 = – 15 Subtraction Property of Equality 10c = 60 Simplify.
c = Write the equation. – = – 15 Subtraction Property of Equality 10c = Simplify. Division Property of Equality c = 6 Answer: So, Jill took 6 exercise classes in September. Example 4

12 CRAFTS A jewelry-making class is $32 plus $4 for each bracelet made
CRAFTS A jewelry-making class is $32 plus $4 for each bracelet made. Anna paid $44 altogether for the class and bracelets that she made. Write and solve an equation to find the number of bracelets that Anna made in class. A b = 44; 3 bracelets B b = 44; 12 bracelets C = 4b; 19 bracelets D = b; 36 bracelets Example 4 CYP

13 DINING You and your friend spent a total of $33 for dinner
DINING You and your friend spent a total of $33 for dinner. Your dinner cost $5 less than your friend’s. Write and solve an equation to find how much you spent for dinner. Example 5

14 d + (d – 5) = 33 Write the equation. 2d – 5 = 33 Combine like terms.
+ 5 = + 5 Addition Property of Equality 2d = 38 Simplify. Division Property of Equality d = 19 Answer: Your friend spent $19. So, you spent 19 – 5, or $14. Example 5

15 JOBS Brayden and his brother mowed a total of 28 lawns in one week
JOBS Brayden and his brother mowed a total of 28 lawns in one week. Brayden mowed 6 more lawns than his brother. Write and solve an equation to find how many lawns Brayden mowed. A. n + 6n = 28; 4 lawns B. n + 6n = 28; 10 lawns C. n + (n + 6) = 28; 11 lawns D. n + (n + 6) = 28; 17 lawns Example 5 CYP

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