Expressions and Equations Review

Combining Like Terms and Distributive Property

100

Are the following Terms Like or Unlike?

10m and 10m²

Unlike

200

12.5(3 + 2w)

37.5 + 25w

300

13r + 5r + 2n

2n + 18r

400

-1.2k + 3.9 – g + .5g + 7 + .3k

-0.5g – 0.9k + 10.9

500

-10(3.25c + 5.5) – 20

-32.5c – 75

One and Two Step Equations

100

5x = -80

x= -16

200

-16 = x+2

x= -18

300

x/2 + 13 =-8

x= -42

400

(x+5.2)/2.4 = 10.6

x= 20.24

500

(x-4)/3 = -3

x=-5

Multi-Step Equations

100

Solving Equations

4x + 3 = 7

x = 1

200

Solving Equations

4 + 5x = 29

x = 5

300

Solving Equations

6(1 +2k) - 6k = -3(-8 + 4k)

k = 1

400

Solving Equations

14 = (3a + 6) + 2

a=2

500

Solving Equations

2(1+6x) + 2(3 - 6x)= 7x - 5x

x = 4

How Many Solutions?

100

Solving Equations

-7 + 5x = 5x + 9

No Solution

200

Solving Equations

9x – 17 = -17 + 9x

Infinitely Many Solutions

300

Solving Equations

7x = 5x - 25 + 30

One Solution 

   x = 2.5

400

Solving Equations

15(2x + 2) = 10(3x + 4)

No Solution

500

Solving Equations

4(6x – 4) = 8(3x – 2)

Infinitely Many Solutions

Word Problems

100

MAKE THE EQUATION FOR THE FOLLOWING PROBLEM: Graham is hiking at an altitude of 14,040 feet and is descending 50 feet each minute. Max is hiking at an altitude of 12,500 feet and is ascending 20 feet each minute. How many minutes will it take Graham and Max to meet at the same altitude?

14,040 – 50x = 12,500 + 20x

200

MAKE THE EQUATION FOR THE FOLLOWING PROBLEM:

Nick and Adam workout together. Nick weighs 160 pounds and is gaining about 3 pounds per week. Adam weighs 195 pounds and is losing about 2 pounds each week. Write an equation that can be used to find the number of weeks that it will take them to weigh the same amount.

160 + 3x = 195 – 2x

300

MAKE THE EQUATION FOR THE FOLLOWING PROBLEM:

Jaycie has a VIP membership to a movie theater, so she pays $27 a year and $6.00 for each movie she sees. Claire doesn’t have a membership, so she pays $8.25 each movie she sees. How many movies would they have to see in a year in order to pay the same amount that year?

27 + 6x = 8.25x

400

MAKE THE EQUATION AND SOLVE:

Decreasing -5 times a number by 18 is equal to decreasing 9 times the number by 25.

-5x – 18 = 9x – 25

X = 0.5

500

MAKE THE EQUATION AND SOLVE:

Isabelle takes the bus to work. The bus ride to work costs her $2.50 each time. She could buy a bus pass for a one-time fee of $15.00 and would then only pay $1.00 each time to ride the bus. How many times would she have to take the bus in order for the cost to be the same?

2.50x = 15 + x

X = 10