FIND THE GREATEST COMMON FACTOR

1)14 and 242)12 and 20

3)6 and 424)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)

DISTRIBUTIVE PROPERTY

-2.3x + (-1.7x)

4q + (-2q)

-7x + (-2x)

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?

A. 13.25g

B. 12.8g

C. 12.5g + 0.75

D. 12.5 + 0.75 + g

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

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

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.

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?

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.

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.

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?

EXPLANATION

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

PROPERTY?

-2/5[10p + (-5/2)]

(-2/5 x 10p) + (-2/5 x -5/2) _______________________

-20/5p + (-2/5 x -5/2)

-4p + 1 __________________________________