Unit 4 Review - Algebra 2 Representations

Factoring/Solving - GCF

100

Factor: 3x-12

3(x-12)

200

Factor: 4x²-8x

4x(x-2)

300

Factor: 9x²-6x

3x(3x-2)

400

Solve: 

7x²-49x=0

x=0, x=7

500

Solve:

8x²+12x=0

x=0, x=-2/3

Factoring/Solving - DOS

100

Factor: x²-4

(x+2)(x-2)

200

Factor: x²-121

(x+11)(x-11)

300

Factor: 9x²-25

(3x+5)(3x-5)

400

Solve:

x²-36=0

x=6, x=-6

500

Solve:

4x²-9=0

x=-3/2, x=3/2

Factoring/Solving - A/M

100

Factor: x²+11x+30

(x+5)(x+6)

200

Factor: x²-7x+12

(x-4)(x-3)

300

Factor: x²-8x-20

(x-10)(x+2)

400

Solve:

x²+7x+12=0

x=-4, x=-3

500

Solve:

x²+5x-14=0

x=-7, x=2

Factoring- Mixed

100

Factor:

x²+3x+2

(x+2)(x-1)

200

Factor: 2x-8

2(x-4)

300

Factor: x²-36

(x+6)(x-6)

400

Factor completely: 3x²-3

3(x+1)(x-1)

500

Factor completely: 5x²-40x+35

5(x-7)(x-1)

Interpreting Quadratic Graphs

100

The path of a rocket is modeled by the equation y=-5x²+30x+10, where x represents time in seconds and y represents height in meters. What is the highest point the rocket reaches?

55 meters

200

The path of a rocket is modeled by the equation y=-5x²+30x+10, where x represents time in seconds and y represents height in meters. How long does it take the rocket to reach its highest point?

3 seconds

300

The path of a rocket is modeled by the equation y=-5x²+30x+10, where x represents time in seconds and y represents height in meters. What height was the rocket launched from?

10 meters

400

The path of a rocket is modeled by the equation y=-5x²+30x+10, where x represents time in seconds and y represents height in feet. At approximately what time(s) is the rocket exactly 40 meters above the ground?

1.3 seconds and 4.7 seconds

500

The path of a rocket is modeled by the equation y=-5x²+30x+10, where x represents time in seconds and y represents height in feet. During which time interval is the rocket more than 50 meters above the ground?

2 to 4 seconds