Equations Review

Systems

100

Is there one solution, none, or infinite to the following without graphing?

y=3x+1 and y=3x

None-Parallel Lines

200

Is there one solution, none, or infinite to the following without graphing?

y=5x+15 and y=5x+15

Infinite-Same Line

300

Is there one solutions, none, or infinite to the following without graphing?

y=2x+8 and y=1x+8

One Solution-Different x amounts 

400

Is there one solution, none, or infinite to the following without graphing?

y=8x+10 and y=-8x+10

One Solution-Different x amounts

500

Is there one solution, none, or infinite to the following without graphing?

y=5x+15 and y=5(x+3)

Infinite-Same Line

Inequalities

100

2y+7>11

y>2

200

5+m+8≥14

m≥1

300

-1-3x>1-4x

x>2

400

-3-4x>-3-5x

x>0

500

-5x≥15

x≤-3

Absolute Value

100

| x + 5 | = 9

x = 4 , x = -14 

200

| x - 6 | = 10

x= 16 , or x = -4 

300

3 | x - 4 | = 21

x =  11, or x = -3 

400

6 | x - 3 | = 42

x = 10  or x = -4 

500

4 | x + 2 | + 3 = 7

x=-1 or x=-3

Variable on Both Sides

100

5 (x + 6) = -9x + 2

x = -2

200

2x + 3 = 19 + x

x = 16

300

8(1 + 5x) + 5 = 13 + 5x

x = 0

400

2(4x - 5) = 7x + 1

x = 11

500

-3x + 4 = 2x +19

x = -3

Fractions

100

Write a numerical expression for the sum of 3 and twice d

3 + 2d

200

Solve:

2x - 3 = 3x - 12

x = 9

300

| w - 1 | = 4

w = -3 or w = 5

400

Solve:

3x = 7x - 4

x = 1

500

Solve the proportion.   (x+4)/12 = 4x/24

x = 4