FIND THE GREATEST
COMMON FACTOR
1)14 and 24
2)12 and 20
3)6 and 42
4)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
__________________________________