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

Translate Sentences into Equations

Translate three more than half a number is 15 into an equation.

Answer:

1. A

2. B

3. C

4. D0% 0%0%0%

Translate five more than one-third a number is 7 into an equation.

A.

B.

C.

D.

Translate Sentences into Equations

Translate nineteen is two more than five times a number into an equation.

Answer: 19 = 5n + 2

1. A

2. B

3. C

4. D0% 0%0%0%

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.

Translate Sentences into Equations

Translate eight less than twice a number is –35 into an equation.

Answer: 2n – 8 = –35

1. A

2. B

3. C

4. D0% 0%0%0%

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.

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

Variable Let m represent the number of miles driven.

Equation 3.50 + 2m = 11.50

3.50 + 2m = 11.50 Write 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.

1. A

2. B

3. C

4. D0% 0%0%0%

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?

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?

Words Your friend’s dinner plus your dinner equals $33.

Variable Let f represent the cost of your friend’s dinner.

Equation f + f – 5 = 33

f + f – 5 = 33 Write the equation.

2f – 5 = 3 Combine like terms.

2f – 5 + 5 = 33 + 5 Add 5 to each side.

2f = 38 Simplify.

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

f = 19 Simplify.

Divide each side by 2.

1. A

2. B

3. C

4. D0% 0%0%0%

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?

1. A

2. B

3. C

4. D0% 0%0%0%

Solve 3n + 2 = 8. Then check your solution.

(over Lesson 8-2)

A. 2

B.

C.

D. 4

1. A

2. B

3. C

4. D0% 0%0%0%

Solve 6n – 3 = 21. Then check your solution.

(over Lesson 8-2)

A.

B. 3

C.

D. 4

1. A

2. B

3. C

4. D0% 0%0%0%

A. –5

B. –1

C. 1

D. 5

Solve 2 = 3 – a. Then check your solution.

(over Lesson 8-2)

1. A

2. B

3. C

4. D0% 0%0%0%

A. –16

B. –6

C. 6

D. 16

Solve –5 + 2a – 3a = 11. Then check your solution.

(over Lesson 8-2)

1. A

2. B

3. C

4. D0% 0%0%0%

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

1. A

2. B

3. C

4. D0% 0%0%0%

If 3x – 2 = 16, which choice shows the value of 2x – 3?

(over Lesson 8-2)

A.

B. 6

C. 9

D. 15