Ch. 1 Test Review: Solving Equations

Multi-Step Equations

100

Solving Equations

4x + 3 = 7

x = 1

200

Solving Equations

4(6 + 5x) = 124

x = 5

300

Solving Equations

-108 = -8(x + 6) - 4

x = 7

400

Solving Equations

172 = 5(4a + 6) + 2

a=7

500

Solving Equations

-93 = 7(-3k - 8) + 5

k = 2

Multi-Step Equations w/ Variables on Both Sides

100

Solving Equations

5n - 2 = 8n - 14

n = 4

200

Solving Equations

-4(-8p + 1) = -4 - 8p

p = 0

300

Solving Equations

6(6n - 2) = 8n - 40

n = -1

400

Solving Equations

5x + 5 + 4x = 4 - 3x + 6

x= 5/12    or    x= 0.41667

500

Solving Equations

-5(8n - 4) - n = - 16 - 5n

n = 1

Literal Equations

100

Solve: I=Prt for t

I/pr = t

200

Solve Ax + By = C for y

y= C-Ax/B

300

Solve for p    2(p-q)=r

r/2 + q = p

400

Solve m + 2n= 7k for n

n = (7k - m)/2

500

Solve for y

2y + 6x = 10

y=(10-6x)/2

y=5-3x

Word Problems

100

Lisa is cooking muffins. The recipe calls for 7 cups of sugar. She has already put in 2 cups. How many more cups does she need to put in?

5 cups

200

How many boxes of envelopes can you buy with $12 if one box costs $1.50?

8 boxes

300

331 students went on a field trip. Six buses were filled and 7 students traveled in cars. How many students were in each bus?

54 students

400

Percy spent half of her weekly allowance playing mini-golf. To earn more money her parents let her wash the car for $4. What is her weekly allowance if she ended with $12?

$16.00

500

The Cooking Club made some pies to sell at a basketball game to raise money for the new math books. The cafeteria contributed four pies to the sale. Each pie was then cut into five pieces and sold. There were a total of 60 pieces to sell. How many pies did the club make?

8 pies

Types of Solutions

100

3x + 1 = 3(x - 1) + 4

Infinite Solutions; 1=1

200

x + 5x + 4 = 3(2x - 1)    

No Solution; 4 = -3

300

5(x + 2) - 3x = 2(x + 5)    

Infinite Solutions; 10=10

400

½(2 - 4x) + 2x = 13

No Solution; 1 = 13

500

-12 + 10x - x = 6 - 9x

One Solution; x=1