Solving Equations and Systems

One-Step Equations

100

x + 12 = 0

x = -12

200

4 = -8 + x

x = 12

300

-16 = x - 2

x = -14

400

5x = 80

x = 16

500

(x/2)=10

x = 20

Two-Step Equations

100

6x – 13 = 11

x = 4

200

3x + 5 = 14

x = 3

300

3 = -2 - x

x = -5

400

(x/2)+2=12

x = 20

500

Solve for y.

-12x + 4y = 32

y = 3x + 8

Multi-Step Equations

100

x + 3 + 3x = 7

x = 1

200

5 + 2x - 1 + 3x = 29

x = 5

300

-45 = 3x + 4 + 4x

x = -7

400

14 = -(2a + 6) + 2

a = -9

500

-k + 3(-7) = 7(5k - 8) - k

k = 1

Equations with Variables on Both Sides

100

4x - 2 = 3x + 5

x = 7

200

9 - x = 6 + 2x

x = 1

300

2(x - 4) = 5x + 4

x = -4

400

6x + 3 - 2x = 2x + 11

x = 4

500

6x - 15 + 4x = 5(2x - 3)

ALL REAL NUMBERS

Systems and Their Solutions

100

Systems that each have the same slope but different y-intercepts are which type of line? Parallel, Coinciding (on top of each other) or Intersecting?

Parallel

200

Systems that have the same slope and the same y-intercepts are which type of line? Parallel, Coinciding (on top of each other) or Intersecting? 

Coinciding (on top of each other)

300

How many solutions would this system have? 

y=3x+4

y=2x - 5

One Solution

400

How many solutions would this system have? 

y=3x+5

y=3x+5

An infinite number of solutions

500

How many solutions would this system have? 

y=1/3x + 4

y=1/3x - 3

No Solutions

Solving Systems

100

y = x - 2

y= 3x + 8

(-5,-7)

200

y = -5x + 2

y = 6x - 9

(1,-3)

300

y = -x - 10

2x - y = -20

(-10,0)

400

y + 1 = -2(x - 3)

4x + 8y = 16

no solution

500

-10x - 16y = 48

8x - 5y = 15

(0,-3)