Distributive Property
3 (2+m)
6+3m
3y+9y
12y
2x-6=18
x=12
3x-9x=30
x=-5
Charlie reads four times as many books as Emiley does in April. He also read 5 magazines. In total, he read 13 items. If the equation 4x+5=13 describes the situation, what does x represent?
x is the number of books Emiley read in April.
-4(5x+8)
-20x+(-32)
OR
-20x-32
8m-m
7m
7=9-2p
p=1
4-2y+3=-9
y=8
TWO-FER! DO THE 400 PT QUESTION FIRST.
An elevator starts on the 46th floor. It stops every 3 floors on its way down to the first floor. How many stops does it make to reach the 28th floor?
6 stops
-(12x-9)
-12x+9
6x-2y+4x+2y
10x
h/2-6=-32
h=-52
24=-4(m+3)
m=-9
WRITE AN EQUATION (Don't solve!)
Bart rode his bike 4 miles so far this week. He wants to ride a total of 10 miles this week. If he rides 1.5 miles each additional ride, how many rides would he need to take?
1.5x+4=10
-1/2(-18x-24)
9x+12
-9a+8b-2a+9b
-11a+17b
-5=4x-8
x=3/4
5g+3(-g+2)=14
g=4
TWO-FER! DO THE 400 PT QUESTION FIRST.
An elevator starts on the 46th floor. It stops every 3 floors on its way down to the first floor. Write an equation to find how many stops the elevator makes to reach the 28th floor.
46-3x=28
46+(-3x)=28
28+3x=46
1/5(20-45x)
4-9x
12c+9-2c+4d+1c-15d-3
11c+(-11d)+6
OR
11c-11d+6
-12=2/3y+4
y=-24
8(-3x+2)+14=-18
x=2
You and three friends go out to the movies. You share a popcorn that costs $10. In total, your group pays $44. Write and solve an equation for this situation.
4x+10=44
x=8.5
Each ticket costs $8.50.