Algebra I

Quadratic Functions

100

Solve: x²+8x+5=0

x=-0.14, x= -1.5

200

Factor:  x²-81

(x-9)(x+9)

x= 9, x = -9

300

Factor:  x²+5x+4

(x+4)(x+1)

x=-4, x=-1

400

Solve:  (2x+5)(4x-1)=0

x=-5/2, x=1/4

500

x²+10x+21=0

(x+3)(x+7)

x=-3, x=-7

Cnsctve Integers & More

100

Find two positive, consecutive, even integers whose product is 624.

24,26

200

Find two consecutive odd, negative integers whose product is 1599.

-41,-43

300

The width of a painting is 4 inches less than the length, and the surface area is 320 square inches.  Find the length.

20 inches

400

A recipe for 3 dozen cupcakes calls for 3/4 cup of flour.  How much flour is required for 4 dozen cupcakes?

1 cup

500

Lekisha drove 320 miles on 12 gallons of gas.  How far could she drive using 15 gallons of gas?

400 miles

Linear Functions

100

The equation for a line with the slope of 3/4 and passess through (4,1) is

y= 3/4x-2

200

The equation for a line that passes through the points (3,1) and (6,7) is:

y= 2x -5

300

For the function, a) find f(0), b) solve f(x) = 0

f(x) = 6x +3  

0,-1/3

400

The slope and y-intercept of y = 5x -9

m= 5/1, b=-9

500

An equation for a line parallel to y = 1/3x -5 with a y-intercept of 1 is:

y = 1/3x +1

Inequalities

100

 Solve:  4a + 2< 10

a<2

200

Solve:  2x -4 >14

x>9

300

x/-5 +2>-3

x<25

400

2x +1 >3x

1>x

500

-25x + 50 < 75x -1150

1200<x

Systems

100

 Solve the system: 3x + 2y =7

                             5x-2y = 1

x=1, y=2

200

 Solve the system: 2x - 3y = -1

                             3x - 4y = -3

x = 8, y = 3

300

Solve the system:  y = x + 4

                             y = 3x + 2

x = 1, y = 5

400

For all real numbers g and h, g $ h = g + 2h.  Find  each of the following:

a.)  1 $ 3        b.)  3 $ 1

7, 5

500

Kelly rode her bike 3 miles less than twice the number of miles John rode.  Together they rode 48 miles.  The amount of miles each rode were:

J = 17, K = 31