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Solving Linear Equations

100

3x+12-9x=12-6x

All Real Numbers

200

5(x+4)=3x-2

x=-11

300

4(3x+5)=12-2x

x=-4/7

400

3x-5(x+3)=16-4x

x=31/2

500

A health club membership costs $19.95 monthly plus $2.75 each time you work out. If you want to spend less than $50 per month, how many times can you workout?

fewer than 11 times.

Proportions

100

12/x = 4/11

x=33

200

-9/4 = 3x/20

x=-15

300

(x+2)/12 = 15/20

x = 7

400

4/(5-2x) = 3/(3x-1)

x=19/18

500

If a flagpole is 20 feet tall and casts a 6 foot shadow, how long a shadow would a building that is 15 feet tall cast?

4.5 feet

Find the Intercepts

100

2x-3y=12

x=6

y=-4

200

-6x + 9y = -18

x=3

y=-2

300

Find the intercepts AND graph

2x + 5y = 10

x = 5

y = 2

400

Write in slope-int form and graph

6x + 3y = 15

y = -2x + 5

500

5x - 3y = -9

y = 5/3x + 3

Writing Linear Functions

100

Passing through (4,6) with a slope of 1/2

y = 1/2x + 4

200

Passing through (2,6) and (3,9)

y = 3x

300

Passing through (3,4) and (5,10)

y=3x-5

400

Through (4,-2) and parallel to y=3/2x + 9

y = 3/2x - 8

500

Through (-3,4) and perpendicular to y=3/2x + 9

y = -2/3x + 2

Absolute Value

100

Abs(x-8) = 20

x = 28 or -12

200

4Abs(3x-8) + 16 = 2

No solution

300

Abs(2x+8) - 10 < 2

-10<x<2

400

Abs(4x-8) < 4

1<x<3

500

Abs(5x+10) >30

x<-8 or x>4