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 __________________________________