Solving Linear Equations

Solving One-Step Equations

100

r-21 = -37

r=-16

200

r + (-1/2) = -3/4

r=-1/4

300

6x = -42

x=-7

400

(5/2)a = -25

a=-10

500

5 = r/2

r=10

Solving Multi-Step Equations

100

4p - 7 = 5

p=3

200

6 = 4v + 2

v=1

300

(c/-4) - 8 = -42

c=136

400

(y/3) + 6 = -45

y=-153

500

(4d + 5)/7 = 7

d=11

Solving Equations with Variable on Both Sides

100

n - 2 = 4 - 2n

n=2

200

3 - 4q = 10q +10

q=-1/2

300

5t - 9 = -3t + 7

t=2

400

3(1+d) - 5 = 3d -2

Infinitely Many Solutions

500

4(f -2) = 4f

NO SOLUTION

Solving Equations after First Simplifying

100

4.3x - 1.8x=5

x=2

200

-5 + 9x - 3=19

x=3

300

2(x+1)+x=17

x=5

400

5(3x-1)-6x=13

x=2

500

2x - 4(x-1)=-12

x=8

Miscellaneous

100

The first step to solving this equation is 

2x+5=11

Subtract 5 from both sides

200

The first step to solving this equation

2x-5=11

Add 5 to both sides

300

The first step to solving this equation

5(x-2)=-27

Distribute the 5 to x and -2

400

The first step to solving this equation

-3x+4+5x=-11

Combine -3x and 5x

500

What number is left when all of the variables are canceled out?

4(x+5)-3=5x+17-x

17