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

5/2a = -25

a = -10

500

0.5 = -r/2

r = -1

Solving Two-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 after Simplifying I

100

n - 2 + 2n = 4

n = 2

200

3 = 10q + 10 + 4q

q = -1/2

300

2(t - 4) - 1 = 7

t = 4

400

3(1+d) - 5 = -2

d = 0

500

4(f - 0.2) = -3.4

f = -0.65

Solving Equations after Simplifying II

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 would be your first step?

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

Distribute the 4