Solving Equations

Solving Equations

100

Solve for x

2x-6=-14

x=-4

200

Solve for a

-5(5a+1)=45

a=-2

300

Solve for x 

-9x-4-8+7x=10

x=-11

400

Solve for k

2k-1=3k+5

x=-6

500

Solve for x

-2(4-x)=12x-3

x=-1/2

Solving Equations with Fractions

100

Solve for m

-m/4=9

m=-36

200

Solve for x

x/-2-7=-11

x=8

300

Solve for x

1/3(3x-9)=27

x=30

400

Solve for x

4(1/5x-6/5)=-1/2x+4.3

x=7

500

Solve for x

1/2(-10x+4)=-4(-3+2x)+8

x=6

Linear Equations

100

Rewrite the equation in slope intercept form

y=-1/3(x-6)

y=-1/3x+2

200

Rewrite the equation in slope-intercept form

y-2=3(x-1)

y=3x-1

300

Rewrite in the slope-intercept form

6x-2y=-52

y=3x+26

400

Rewrite in slope-intercept form

-4x+9y=45

y=4/9x+5

500

Write an equation in slope-intercept form given the slope of  3/4 and the point (-4, 16)

y=3/4x+19

Literal Equations

100

Solve for x

y=wx

x=y/w

200

Solve for y

v=ywx

y=v/(wx)

300

Solve for s

t=s/r

s=tr

400

Solve for p

q=1/spr

p=(qs)/r

500

Solve for x

y=w/x

x=w/y

Types of solutions

100

Does the equation have 1 solution, no solutions, or infinite solutions?

5x+4=5x-3

No Solution

200

Does the equation have 1 solution, no solutions, or infinite solutions?

3(x+2)=3x+6

Infinite solutions

300

Does the equation have 1 solution, no solutions, or infinite solutions?

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

1 solution

x=-1

400

Does the equation have 1 solution, no solutions, or infinite solutions?

-2(x+5)=-6x+4(x-2)

no solution

500

Does the equation have 1 solution, no solutions, or infinite solutions?

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

infinite solutions