Distributive Property
Combining Like Terms
Two-Step Equations
Multi-Step Equations
Word Problems
100

 3 (2+m) 

6+3m

100

3y+9y

12y

100

2x-6=18

x=12

100

3x-9x=30

x=-5

100

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.

200

-4(5x+8)

-20x+(-32)

OR

-20x-32

200

8m-m

7m

200

7=9-2p

p=1

200

4-2y+3=-9

y=8

200

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

300

-(12x-9)

-12x+9

300

6x-2y+4x+2y

10x

300

h/2-6=-32

h=-52

300

24=-4(m+3)

m=-9

300

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

400

-1/2(-18x-24)

9x+12

400

-9a+8b-2a+9b

-11a+17b

400

-5=4x-8

x=3/4

400

5g+3(-g+2)=14

g=4

400

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

500

1/5(20-45x)

4-9x

500

12c+9-2c+4d+1c-15d-3

11c+(-11d)+6

OR

11c-11d+6

500

-12=2/3y+4

y=-24

500

 8(-3x+2)+14=-18 

x=2

500

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.

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