Five-Minute Check (over Lesson 4–5) Then/Now

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Five-Minute Check (over Lesson 4–5) Then/Now Example 1: Translate Sentences into Equations Example 2: Write and Solve an Equation Example 3: Real-World Example: Solve a Two-Step Verbal Problem Lesson Menu

Write two-step equations. You have already translated verbal phrases into algebraic expressions. (Lesson 1–2) Write two-step equations. Solve verbal problems by writing and solving two-step equations. Then/Now

A. Translate this sentence into an equation. Translate Sentences into Equations A. Translate this sentence into an equation. Jackie’s mother is 28 years old, which is four times Jackie’s age a minus eight years. Answer: 28 = 4a – 8 Example 1A

B. Translate this sentence into an equation. Translate Sentences into Equations B. Translate this sentence into an equation. Five more than twice a number n is –25. Answer: 2n + 5 = – 25 Example 1B

C. Translate this sentence into an equation. Translate Sentences into Equations C. Translate this sentence into an equation. Rafiq threw a baseball 84 miles per hour, which is 21 miles per hour less than twice the speed s that Jonah threw it. Answer: 84 = 2s – 21 Example 1C

A. Translate the sentence into an equation. Nathan has $45 in savings A. Translate the sentence into an equation. Nathan has $45 in savings. This is three times Roger’s savings r minus 15. A. 45 = 3r – 15 B. 45 = 15 – 3r C. 45 = –3r –15 D. 45 = 3(r– 15) A B C D Example 1A

B. Translate the sentence into an equation B. Translate the sentence into an equation. Seven more than twice a number n is –19. A. 2n – 19 = 7 B. 2n + 7 = –19 C. 2n + 19 = 7 D. 2n – 7 = 19 A B C D Example 1B

C. Translate the sentence into an equation C. Translate the sentence into an equation. Izzie’s softball team won 23 games which is 4 less than 3 times as many games g as Marcie’s team. A. 23 = 3g + 4 B. 23 = 3g – 4 C. 23 = 4g + 3 D. 23 = 4g – 3 A B C D Example 1C

9 – 9 + 4c = 41 – 9 Subtraction Property of Equality 4c = 32 Simplify. Write and Solve an Equation A baseball bat costs $41, which is $9 more than four times the wholesale cost of the bat. Find the bat’s wholesale cost. Let c = the wholesale cost of the bat. Then, 9 + 4c is the cost of the bat. 9 + 4c = 41 Write the equation. 9 – 9 + 4c = 41 – 9 Subtraction Property of Equality 4c = 32 Simplify. c = 8 Mentally divide each side by 4. Answer: The wholesale cost is $8. Example 2

Ethan is 12 years more than twice as old as his son Ethan is 12 years more than twice as old as his son. Ethan is 32 years old. How old is his son? A. 4 years old B. 8 years old C. 9 years old D. 10 years old A B C D Example 2

Plan Write an equation to represent the situation. Solve a Two-Step Verbal Problem MONEY Ms. Parsons earns $200 each week plus $25 for each pair of shoes that she sells. How many pairs of shoes does she need to sell to earn $1000 per week? Understand Ms. Parsons earns $200 each week plus $25 for each pair of shoes that she sells. Plan Write an equation to represent the situation. Let s = number of shoes. 1,000 = 200 + 25s Example 3

Solve 1,000 = 200 + 25s Write the equation. Solve a Two-Step Verbal Problem Solve 1,000 = 200 + 25s Write the equation. 1,000 – 200 = 200 – 200 + 25s Subtract 200 from each side. 800 = 25s Simplify. Divide each side by 25. 32 = s Simplify. Answer: Mrs. Parsons needs to sell 32 pairs of shoes to earn $1,000 per week. Check Multiply 25 times 32 and add 200. The result is 1,000. The answer is correct. Example 3

SHOPPING Tami spent $175 at the grocery store SHOPPING Tami spent $175 at the grocery store. That is $25 less than four times as much as Ted spent. How much did Ted spend? A. $8.33 B. $37.50 C. $50 D. $600 A B C D Example 3