Solving Equations

One-Step Equations/Two-Step Equations

100

2x=16

x=8

200

x+5=0

x=-5

300

2a+3=8

a=2.5

400

2n+3n=15

n=3

500

3y+5=11

y=2

Multi-Step Equations

100

2(2p-7)=9

p=23/4

200

4x+2x-3x=27

x=9

300

3(x-5)-4=17

x=12

400

2c+c+12=78

c=22

500

4b+16+2b=46

b=5

Variables on Both Sides

100

5(7-y)=3(2-y)

y=29/2

200

3(x-4)=2(x-3)

x=6

300

7x=3x-(x+20)

x=-4

400

3y+7+3(y-1)=2(2y+6)

y=4

500

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

x=5/4

Equations with Fractions

100

a/5−1=-4

a=-15

200

n/3-n/5=4/3

n=10

300

7y/10=6+2y/5

y=20

400

n+3/4=n+2/5

n=-7

500

2y+1/5-1=y-3/2

y=7/10

Random

100

4/1-3y=3/2-y

y=5/4

200

The equations 5x + 2y = 48 and 3x + 2y = 32 represent the money collected from school concert tickets sales during two class periods. If x represents the cost for each adult ticket and y represents the cost for each student ticket, what is the cost for each adult ticket?

The cost of an adult ticket is $8

300

-10x + -19 = 19 + -8x

x=-19

400

0.7x-2=1.1x

x=-5

500

A test has twenty questions worth 100 points. The test consists of True/False questions worth 3 points each and multiple choice questions worth 11 points each. How many multiple choice questions are on the test?

x=15