Math 8 unit 1: Equations

Equations

100

x/6+1=2

x=6

200

7t+3=8+7t

No solution

300

3x-12=5x+4

x=-8

400

3(2-x)+1=12x+2

x=1/3

More Equations

100

4-5k=-8-5k

No solution

200

5m-1=4m+5

m=6

300

1/6(12x-18)=2x-3

Infinite Solutions

400

3(5p-3)=5(p-1)

p=2/5

Literal Equations

100

Solve for x 

6y+x=8

x=8-6y

200

Solve for y 

6y+x=8

y=(8-x)/6

300

Solve for y 

20=5x+10y

y=(4-x)/2

400

Solve for y 

10x-1/3y=15

y=-45+30x

Word and Geometry Problems

100

A square has sides x+1 and 2x-3. What is the length of one side of the square?

x=4 but one side has length of 5

200

A square has sides x+1 and 2x-3. What is the area of the square?

x=4 but area is 25

300

The side lengths of a triangle with all equal sides are 2x+7 and 4x+5. What is the length of one of the sides of the triangle?

x=1 but the length is 9

400

The formula for the volume of a cylinder is given below. Solve for h.

V=pir^2h

h=V/(pir^2)