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

• Write two-step equations that represent real-world situations.

Translate Sentences into Equations

Translate the sentence into an equation. Three more than half a number is 15.

Answer: n + 3 = 15__12

A. 2n + (–7) = –5

B. 2n + 5 = –7

C. 2n – 7 = 5

D. 2n – 5 = –7

Translate the sentence into an equation. Five less than twice a number is –7.

Translate the sentence into an equation. Nineteen is two more than five times a number.

Translate Sentences into Equations

Answer: 19 = 5n + 2

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

__12

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Translate Sentences into Equations

Translate the sentence into an equation. Eight less than twice a number is –35.

Answer: 2n – 8 = –35

A. 3n + 1 = –5

B. 3n – 5 = 1

C. 3n + 5 = 1

D. 3n + 1 = 5

Translate the sentence into an equation. The difference between 3 times a number and 5 is 1.

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.

15 + 10c = 75 Write the equation.– 15 = – 15 Subtraction Property of Equality

10c = 60 Simplify.

Division Property of Equality

c = 6

Answer: So, Jill took 6 exercise classes in September.

A. 32 + 4b = 44; 3 bracelets

B. 32 + b = 44; 12 bracelets

C. 32 + 44 = 4b; 19 bracelets

D. 32 + 4 = b; 36 bracelets

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.

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.

d + (d – 5) = 33 Write the equation.2d – 5 = 33 Combine like terms.

+ 5 = + 5 Addition Property of Equality2d = 38 Simplify.

Division Property of Equality

d = 19

Answer: Your friend spent $19. So, you spent 19 – 5, or $14.

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

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.