Solving Linear Equations

Solving Simple Equations

100

Solve: x+7=15

x=8

200

Solve: y−9=4

y=13

300

Solve: 5x=35

x=7

400

Solve: m/4 = -6

m=-24

500

Solve: -4 = (k+3)/2

k= -11

Solving Multi-Step Equations

100

Solve: 2x + 5 = 17

x=6

200

Solve: 3x−8=16 

x=8

300

Solve: 4(x+3)=28 

x=4

400

Solve: 5−2(3x−4)=17 

x= -1

500

−3(2x+4)+5=23  

x= -5 

Solving Equations with Variables on Both

100

3x+4=5x−8

x=6

200

7x−5=4x+16

x=7

300

5(x−2)=2x+9

x = 19/3

400

4(x+2)=4x+8

Infinitely many solutions

500

3(2x−1)=6x+5

No solution

Solving Absolute Value Equations

100

|x|=7

x=7, -7

200

|x - 3| = 5

x= 8, -2

300

2∣x+1∣=14

x=6,−8

400

4+2∣x−3∣=18

x=10,−4

500

∣5x−2∣=∣3x+6∣

x=4,−2 

Rewriting Equations and Formulas

100

Solve for x: x+5=y

x=y−5

200

Solve for b: a+b=12

b=12−a

300

Solve for a: a+4b=5b−3a

a = b/4

400

Solve for p: V=p+prt 

p= V/ (1+rt)

500

Solve for r: V=p+prt 

r= (V-p)/pt