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