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FIND THE Greatest Common Factor

FIND THE Greatest Common Factor. 14 and 24 12 and 20 6 and 42 10 and 35. FIND THE Greatest Common Factor FOR EACH PAIR. Do they have any variables or factors in common? - 6x , 10x 3y , 6z 12k , 16k 50m , 225mn. Expand. 3(x + 8) 4 ( 2x – 3) ½(10y + 12) 3k(4n + 3).

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FIND THE Greatest Common Factor

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  1. FIND THE Greatest Common Factor 14 and 24 12 and 20 6 and 42 10 and 35

  2. FIND THE Greatest Common Factor FOR EACH PAIR Do they have any variables or factors in common? • -6x , 10x • 3y , 6z • 12k , 16k • 50m , 225mn

  3. Expand • 3(x + 8) • 4 ( 2x – 3) • ½(10y + 12) • 3k(4n + 3)

  4. Distributive Property • -2.3x + (-1.7x) • 4q + (-2q) • -7x + (-2x)

  5. Equivalent Expressions A gallon of gasoline cost g dollars. Paul puts 12.5 gallons of gas in his car and 0.75 gal of gas in a portable tank. Which shows how many dollars he spent on gas? 13.25g 12.8g 12.5g + 0.75 12.5 + 0.75 + g

  6. Expressions • Lillian buys a jacket for j dollars. She must pay 7% sales tax on her purchase. Which expression represents how many dollars she will pay in all including tax? A. 1.7j B. 1.07j C. 7j D. j + 0.07

  7. Craft festival • Kenny earns $150 for each ring he sells. He pays $85 in rent each day for his booth at a craft festival. After the cost of renting the booth is deducted, he earns (150r – 85) per day. Which expression shows how many dollars he earns in 4 days at the festival? • A. 515 • B. 260r • C. 600r – 85 • D. 600r - 340

  8. Electrician • An electrician bought 7/8 meter of copper wire from a hardware store at a cost of c dollars per meter. The electrician used ¾ meter of the copper wire for a job. Write an expression, in simplest form, to show the dollar value of the copper wire he did not use. Show or explain your work.

  9. Labrador pups • I raise Labrador pups and if I sell each pup for d dollars and have 8 pups each from 5 litters. Each litter I have to deduct $160 for expenses. What expression would represent my total earnings?

  10. Pizza delivery • For her salary each day as a pizza delivery person, Eva earns $50 plus $2 for each pizza, p, delivered, or (50 + 2p) dollars. Write an expression to show the total salary Eva will earn, in dollars, if she delivers p pizzas each day for seven days. Then expand that expression. Show or explain your work.

  11. The decision • Another pizza parlor offers Eva a job. The owner of that pizza parlor says that he will pay Eva a total of (120 + 6p) dollars if she delivers p pizzas per day for 3 days. Will the new job pay more or less than her current job ( in the previous slide)? Use factoring to determine and explain how you made your comparison.

  12. Trick or Treat • Last night we went trick or treating at four houses as a family. We received a total of (8r + 12s) candy from all four of the houses. Assuming we received the same amount from each house, which expression best represents how much candy we received from each house?

  13. Explanation • Justify why the sum of 3a and 2b cannot be represented as 5ab.

  14. Property? • -2/5[10p + (-5/2)] • (-2/5 x 10p) + (-2/5 x -5/2) _______________________ • -20/5p + (-2/5 x -5/2) • -4p + 1 __________________________________

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