<p> Writing Equivalent Expressions (Summative) </p><p>Name:_Answer Key______Date:______Translate each verbal phrase into a number sentence.</p><p>1. Three less the product of seven and a number h. </p><p>7h - 3</p><p>2. Three times the quantity ten minus r.</p><p>3 (10 – r)</p><p>3. Stan and Marsha each earn an hourly wage of $10 per hour. This week, Marsha received an additional bonus of $50. They both worked the same number of hours. The following expression represents the weekly wages they earned altogether: h ($10) + h ($10) + $50</p><p> a) Explain what each of the following represents in this situation. h ($10): h represents the number of hours Stan worked and the $10 is what he was paid for each of those hours so the expression represents what Stan earned</p><p>+ h($10): same as above except this is for Marsha’s hours. You add the two quantities because the question is what they made altogether</p><p>$50 this is the bonus money that Marsha made</p><p> b) h($20) + $50 also represents the wages they earned altogether. Explain what each of the following represents in this situation. h($20): Stan and Marsha worked the same number of hours so h represents these hours. Each earned $10 per hour so the $20 represents what they both earned each hour. </p><p>+ $50 This is the bonus money Marsha earned. 4. The temperature in Iceland increases 2 degrees in the morning but then falls 7 degrees by midnight for the next 5 days. Write two equivalent expressions to determine the temperature at the end of the 5 days (midnight).</p><p>Possible Solutions: T + 5 (2-7) ; T – 5(5); T + 5(-5)</p><p>5. The length of one side of a square is 12 + x. </p><p> a. Using only addition, write an expression to find the perimeter of the square.</p><p>12 + x + 12 + x + 12 + x + 12 + x </p><p> b. Using multiplication and addition, write an expression to find the perimeter of the square.</p><p>Possible Solution: 4(12 + x) ; 4(12) + 4(x)</p><p>6. Juan says the two expressions 6(4a – 4) + 6a and 10a – 24 are equivalent. Is he correct? Explain why or why not. No. Using the distributive property the expression becomes 24a – 24 + 6a, then when you combine like terms you get 30a – 24.</p>