Lesson 3 Contents Example 1Translate Sentences into Equations Example 2Translate Sentences into Equations Example 3Translate Sentences into Equations Example.

Example 1 Translate Sentences into Equations

Example 2 Translate Sentences into Equations

Example 3 Translate Sentences into Equations

Example 4 Translate and Solve an Equation

Example 5 Write and Solve a Two-Stop Equation

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

Answer:

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

Answer:

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

Answer:

Translate fifteen is three more than six times a number into an equation.

Answer:

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

Answer:

Translate six less than three times a number is –22 into an equation.

Answer:

Two more than of a number is 6. Find the number.

Two more than of a number is 6.Words

Variable

Equation

Answer: The number is 12.

Simplify.

Mentally multiply each side by 3.

Subtract 2 from each side.

Write the equation.

Three more than six times a number is 15. Find the number.

Answer: 2

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?Her cost starts at $3.50 and adds $2 until it reaches $11.50. Organize the data for the first few miles into a table and look for a pattern.

2

1

0

CostMiles

3

Write an equation to represent the situation. Let m represent the number of miles.

3.50 + 2m 11.50

flat rate plus

m miles at $2 per mile equals $11.50

Simplify.

Write the equation.

Subtract 3.50 from each side.

Answer: Jan traveled 4 miles.

Divide each side by 2.

Simplify.

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?

Answer: 250 miles