Algebra 1: Equations

One Step/Multi

100

-3x = 27

x=-9

200

-8 + x = 17

x = 25

300

3(x - 5) =24

x=13

400

4x + 7 - 2x + 8=5

x = -5

500

1/2(x+8)-3/2x=12

x=-8

Variables on Both Sides

100

10-5v = 10 -v

v=0

200

-5x=-8x-6

x=-2

300

5x - 8=3x +7+2x-4

No Solution

400

1/2(12x-10)=6x-5

Infinitely Many Solutions

500

1/2 x + 8=3-1/3 x

x=-6

Absolute Value

100

abs(x-5)=12

x=17 or x = -7

200

abs(6x)=36

x=6 or x = -6

300

abs(3x)-8=-12

No solution

400

5abs(2x-8)=30

x=7 or x=1

500

abs(x+4)/3-6=-4

x=2 or x=-10

Literal Equations

100

Solve for x

x+y+z=A

x=A-y-z

200

Solve for r:

I=prt

r=I/(pt)

300

Solve for y:

3y = 20x - 2y

y=4x

400

Solve for x:

3x -8xz+4z=3y

x=(3y-4z)/(3-8z)

500

I deposited $5000 into a savings account. After 18 months, I earned $281.25 in interest. What is my interest rate for the account?

3.75%

P=$5000, I = $281.25, t = 1.5 yrs

r=I/(pt)

281.25/(5000*1.5)

Proportions

100

x/8 = 6/12

x=4

200

7/9=5/x

x=6.43

300

Convert 54 inches to yards

1.5 yards

400

A tree creates a shadow that is 42 feet long. A 6 foot man creates a 8 foot shadow. If the triangles that the man/shadow and tree/shadow are similar, find the height of the tree.

x/42=6/8; x=31.5 ft

500

Convert 65 mph to ft/sec

(65mi)/(1hr)*(5280ft)/(1 mi)*(1 hr)/(60 min)*(1 min)/(60sec)=95.bar3