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Lesson 3 Contents Example 1Translate Sentences into Equations Example 2Translate Sentences into Equations Example 3Translate Sentences into Equations Example 4Translate and Solve an Equation Example 5Write and Solve a Two-Stop Equation

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Example 3-1a Translate three more than half a number is 15 into an equation. Answer:

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Example 3-1b Translate five more than one-third a number is 7 into an equation. Answer:

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Example 3-2a Translate nineteen is two more than five times a number into an equation. Answer:

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Example 3-2b Translate fifteen is three more than six times a number into an equation. Answer:

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Example 3-3a Translate eight less than twice a number is –35 into an equation. Answer:

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Example 3-3b Translate six less than three times a number is –22 into an equation. Answer:

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Example 3-4a Two more than of a number is 6. Find the number. Two more than of a number is 6. Words Variable Equation

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Example 3-4a Answer: The number is 12. Simplify. Mentally multiply each side by 3. Subtract 2 from each side. Write the equation.

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Example 3-4b Three more than six times a number is 15. Find the number. Answer: 2

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Example 3-5a 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

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Example 3-5a Write an equation to represent the situation. Let m represent the number of miles. 3.50 + 2m2m 11.50 flat rate plus m miles at $2 per mile equals $11.50 Simplify. Write the equation. Subtract 3.50 from each side.

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Example 3-5a Answer: Jan traveled 4 miles. Divide each side by 2. Simplify.

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Example 3-5b 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

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End of Lesson 3

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11-1 Solving Two-Step Equations When you solve equations that have one operation, you use an inverse operation to isolate the variable. n + 7 = 15 – 7.

11-1 Solving Two-Step Equations When you solve equations that have one operation, you use an inverse operation to isolate the variable. n + 7 = 15 – 7.

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