Solving Equations

Solving for a Variable

100

Solve for y:

2x + y = 14

y = 14 - 2x

200

Solve for y:

8x - y = 32

y = -32 + 8x

300

Solve for y:

8x + 2y = -4

y = -2 - 4x

400

Solve for y:

5y - x - 10 = 0

y = 2 + 1/5x

500

Solve for y:

4x - 4y - 3 = -2

y = -1/4 + x

Solving Equations Variable on One Side

100

5h + 2 + 2h = 23

h = 3

200

-6 = -3y + 4 + 5y

y = -5

300

7(4 - t) = -84

t = 16

400

2(4x - 11) + 9 = 19

x = 4

500

-3(x+2) + 5x = -9

a = -3/2 or -1.5

Variables on Both Sides Equations

100

Solve. 13x + 9 = 11x +13

x = 2

200

Solve. -3k - 25 = 5k - 1

k = -3

300

Solve. 6(1 + 5y) = 30y - 2

no solution

400

Solve. -14 + 7m = 7(m - 2)

all real numbers

500

Solve. 3x - 7 = 8 + 6(x + 2)

x = -9

Equation Grab Bag

100

4x + 9 = 33

x = 6

200

x + 3x = -8x

x = -2

300

4(y - 2) + y = -13

y = -1

400

-6(m + 1) + 18 = 24

m = -2

500

-8 + 2(k + 12) = 52 - 7k

k = 4

Word Problems

100

WRITE AN EQUATION & SOLVE: Three more than the product of 2 and a number is 11.

2n + 3 = 11 n = 4

200

Tyler has 4 boxes of apples. Each box has the same number of apples. After Tyler eats 3 apples, there are 109 apples left in the boxes. How many apples were in each box?

a - # of apples in each box 

4a - 3 = 109 

a = 28 

There were 28 apples in each box.

300

Mr. Ramey bought a Taylor Swift concert ticket for $50 and 7 Taylor Swift t-shirts for a total of $140.93. Each t-shirt cost the same amount. How much was each  t-shirt Mr. Ramey bought?

n - # of t-shirts 

7n + 50 = 140.93 

n = 12.99 

Each t-shirt cost $12.99

400

April has a cell phone plan through AT&T.  She pays $10 per month plus $.20 per minute, plus another $3 for unlimited text messaging.  Last month her cell phone bill was $56.  Write and solve an equation to determine how many minutes Jenny talked on the phone.

10 + .20m + 3 = 56

.20m = 43

m = 215 minutes

500

The membership fee for joining a camping association is $45.  A local campground charges members of the camping association $35 per night for a campsite and nonmembers $40 per night for a campsite. After how many nights of camping is the total cost for members, including the membership fee, the same as the total cost for nonmembers?

45 + 35x = 40x

45=5x

9=x