Trasketball - Solving Equations Review

One-Step Equations

100

k - 6 = -21

k = -15

200

120 = -10m

m = -12

300

x/8 = 7 

x = 56

400

x + 14 = -20

x = -34

500

x + (-7) = -12

x = -5

Two-Step Equations

100

-9 + 4a = 11

a = 5

200

x/4 - 7 = -11

x = -16

300

-9n - 5 = -185

n = 20

400

8 = m/2 + 6

m = 4

500

(x + 7)/2 = 2

x = -3

Multi-Step Equations

100

3v - 2 - 7 = 3

v = 4

200

7 + 2x - 6x = 23

x = -4

300

126 = 6(8x - 3)

x = 3

400

6(2n + 6) + 4n = -92

n = -8

500

4(8x + 7) + 8(x - 7) = 52

x = 2

Variables on Both Sides

100

16 + 4r = r - 8

r = -8

200

4 - 7v = -5v + 4 - 2v

infinitely many solutions

300

29 - 3n = -7(n - 7)

n = 5

400

32 + 5n = 5(7 + n)

no solution

500

4(x - 4) = 7(x - 1)

x = -3

Word Problems

100

After paying $9 for a fruit drink, Chelsea has $33.  With how much money did she start?

x - 9 = 33

$42

200

Maria was given $14 for washing the dog.  She now has $23.  How much money did she start with?

x + 14 = 23

x=$9

300

Willie rented a bike from DeShawn's Bikes.  It cost $16 plus $6 per hour.  If Willie paid $52, then he rented the bike for how many hours?

16 + 6x = 52

x=6 hours

400

Jimmy spent half of his weekly allowance on candy.  To earn more money his parents let him weed the garden for $5.  What is his weekly allowance if he ended with $10.  

x/2 + 5 = 10

x= $10

500

Jill bought seven posters.  A week later half of all her posters were lost during a move.  There are now only 20 posters left.  With how many did she start?

(x+7)/2 = 20

x = 33