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Algebra Review

Algebra Review. March 2013. #1. Jay mows lawns and washes cars to earn money. He earns $8 for each lawn he mows. He earns $5 for each car he washes. On Friday, he mowed 3 lawns and washed 3 cars. On Saturday, he spent $15 of the money he earned.

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Algebra Review

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  1. Algebra Review March 2013

  2. #1 Jay mows lawns and washes cars to earn money. • He earns $8 for each lawn he mows. • He earns $5 for each car he washes. • On Friday, he mowed 3 lawns and washed 3 cars. • On Saturday, he spent $15 of the money he earned. Which expression shows the amount of money Jay had left.? • 3 x 8 + 5) — 15 • 3 x (8 + 5) — 15 • (3 + 8 + 5) — 15 • (8 + 5) — 15 x 3

  3. #8 • Gavin took 2 packs of colored pencils to school. He had a total of 26 colored pencils. One pack contained 6 fewer pencils than the other. Which expression shows how to find the number of pencils in the smaller pack? • (26 2) – 6 • (26 2) + 6 • (26 – 6) 2 • (26 – 6) x 2

  4. Examples • (5 x 7) + (5 x 9) can be written 5 x (7 + 9) • (4 x 3) + (4 x 5) + (4 x 8) can be written 4 (3 + 5 + 8)

  5. #2 • Which mathematical expression is equivalent to the number sentence below? • Subtract 15 from 45, and then divide by 3 • 15 — 45 3 • (45—15) 3 • (15—45) 3 • 3 (45—15)

  6. #3 • The Quotient of 10 and x is 6 • 10x = 6 • 10 6 = x • 1x + 10 = 6 • 10 x = 6

  7. #4 • Ninety-nine is three times a number minus 1 • 99 = 3 + x – 1 • 99 = 1 – (3) • 99 = 3x + 1 • 99 = 3x – 1

  8. #5 • The quotient of twenty and five more than a number is seventeen. A) 20 = 17 x + 5 B) 20 x = 17 C) 5 + 20 x = 17 D) 20 = 17 5x

  9. #6 • The quotient of two numbers is equal to the sum of those numbers. • x + y = z y • x y = x – y • x y = x y • x y = x + y

  10. #7 • Claudia’s car averages 24 miles per gallon of gasoline. If she drives n miles, how many gallons does she use? • n + 24 • n – 24 • n x 24 • n 24

  11. #8 Gavin took 2 packs of colored pencils to school. He had a total of 26 colored pencils. One pack contained 6 fewer pencils tan the other. Which expression shows how to find the number of pencils in the smaller pack? • (26 2) – 6 • (26 2) + 6 • (26 – 6) 2 • (26 – 6) x 2

  12. #9 • Shane has a $1-coupon for a box of cereal priced $3.00. It is double coupon day at the grocery store. Shane gets double the value of his coupon. Which expression shows how much Shane will pay for the box of cereal? • (3 – 2) x 1 • 3 – (2 x 1) • (3 – 1) x 2 • 3 – (2 + 1)

  13. #10 • A printer prints 12 pages per minute. Which will determine the total number of pages that can be printed by 3 printers in an hour? • (12 x 3) x 60 • 12 + 3 + 60 • (12 + 3) x 60 • 12 x 3 + 60

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