Algebra Review

Pythagorean Theorem

100

3^2+4^2=c^2

c=5

200

12^2+9^2=c^2

c=15

300

a^2+12^2=15^2

a=9

400

8^2+7^2=c^2

c=√113

c = 10.6

500

A car drives 27 miles east and 44 miles north. How many miles are they away from their starting point?

51.6 miles

Slope/Slope Intercept

100

What does x equal in the equation y=6x+7 if y=19?

x=2

200

Find the slope of the two ordered pairs: (8,9) and (3,10)

-1/5   

1/-5

-0.2

300

Write this in standard form: y= -4x + 24

4x+y=24

400

Write this in slope intercept form: 6x+4y=84

y= -3/2x + 21

y= -1.5 + 21

500

Using the ordered pairs (6,9) and (4,8), find the slope of the equation, y=mx+8 then find the y value if x=3.

m=1/2  or 0.5

y=9 1/2 or 9.5

Radicals

100

Simplify: √400

20

200

Simplify: √75

5√3

300

Simplify: √208

4√13

400

Expand: 14 into a square root

√196

500

Expand: 6√7

√252

Functions

100

Is this a function?     x  1 1 2 3 4 5 5 6 7

                               y  2 2 4 5 3 5 5 2 6

YES 

200

Is this a function?    x 1 3 3 5 5 7 9

                              y 2 4 5 6 2 8 4

NO

300

Is this a function?   x 2 5 2 5 3 4 7 6 9

                             y 2 8 2 7 6 8 8 1 6

NO

400

Is this a function?     x 4 5 2 3 4 1 7 5 9

                               y 2 3 5 2 2 9 7 3 0

YES

500

Is this a function?      x 1 6 3 8 9 0 3 5 4 1 6 7 8 4

                                y 3 4 2 3 6 0 2 7 9 3 4 8 0 9

YES

Equations/Inequalities

100

What is the value of x?    3x+8=20

x=4

200

What is the value of y?    45-5y=0

y=9

300

Solve:    7w+8q=92 If w=2

q = 9.75

400

Solve:            3x + 6y = 6

                     2x + 3y = 3

             

x=0

y=1

500

Solve:  x+y<3

           2x-y<3

x<2.5

y<2