Solving Linear Equations

Solving Equations by Addition,Subtraction, Multiplication, & Division

100

r – 21= -37

r = -16

200

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

m = -1/4

300

6x = –42

x = -7

400

(5/2)a = –25

a = -10

500

5 = r/2

r = 10

Multi-Step Equations

100

6 = 4v + 2

v = 1

200

2.5x – 13 = 2

x = 6

300

(c/-4) -8=-42

c = 136

400

4(n – 6) –1= 31

n = 14

500

(4d + 5)/7 = 7

d = 11

Equations with the Variable on Each Side

100

n – 2 = 4 – 2n

n = 2

200

5t – 9 = –3t + 7

t = 2

300

2(3x – 4) = 0.5(10 – x)

x = 2

400

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

Infinitely many solutions

500

4(3f – 1) = 12f

No solution

Absolute Value Equations

100

Solve 

|x + 6| = 11

x = 5 or x = –17

200

Solve.

|2x – 1| = –4

No solution!!

300

Solve.

|3m – 6| 9 = –3

No Solution

400

Identify the EXTRANEOUS SOLUTION.

|3n + 18| = 6n

n = 6; Reject n = –2 because it is extraneous.

500

|2 + r| = |r – 8|

r = 3

Solving Equations & Formulas

100

5x = y solve for x

x= y/5

200

yx - a = cx solve for x

x = a/y-c

300

ay - b = c solve for y

y= (b + c)/a

400

3x - 4y = 7 solve for y

y= (3x - 7)/4

500

Solve y = mx + b for m.

m = (y-b)/x