Chapter 3 Review

Factoring

100

Factor

x²-9x+20

What is

(x-5)(x-4)

200

Factor

4x²-81

What is

(2x-9)(2x+9)

300

Factor

2x²-5x-42

What is

(2x+7)(x-6)

400

Factor

5x²+30x+45

What is

5(x+3)²

500

Factor

8x²-2x-21

What is 

(2x+3)(4x-7)

Solving

100

Solve

4x²-100=0

What is

x=5, -5

200

2x²-12x+14=0

What is 

x=3+sqrt2, 3-sqrt2

300

Solve

x²-19x=-78

What is 

x=6, 13

400

Solve

5x²+4x+8=0

What is

x=(-2+6i)/5, (-2-6i)/5

500

Solve

2x²+2x=-x²+6

What is

x=(-1+sqrt19)/3, (-1-sqrt19)/3

Vertex Form

100

Write in vertex form

y=x²-6x+9

What is

y=(x-3)²

200

Write in vertex form

y=2x²-4x+2

What is

y=2(x-1)²

300

Write in vertex form

y=x²+8x-5

What is

y=(x+4)²-21

400

Write in vertex form

y=2x²-8x+1

What is

y=2(x-2)²-7

500

Write in vertex form

y=3x²+3x+12

What is

y=3(x+1/2)²+45/4

Systems

100

The solution to the system

y=x²+4

y=-2x+4

What is

(-2, 8) and (0, 4)

200

The solution to the system of equations

y=x²-3x+2

y=-2x+8

What is

(-2, 12) and (3, 2)

300

The solution to the system of equations

y=x²-8x+2

y=-2x²+16x-46

What is

(4, -14)

400

The solution to the system of equations

y=5x²-8x+3

y=x²-14

What is 

No Solution

500

The solution to the system of equations

y=x-3

y²+x²=8

What is

((3+rt7)/2, (-3+rt7)/2) and ((3-rt7)/2, (-3-rt7)/2)

Models

100

A football thrown by a quarterback can be modeled by h(t)=-16t²+8t+6 where t is in seconds and h is in feet. The highest point of the football.

What is 7 feet.

200

The dimensions of a pen who's area is 336 ft² and whose length is 5 feet longer than its width.

What is 16 ft by 21 ft. 

300

Two consecutive even numbers that multiply to 2024.

What is 44 and 46

400

Two numbers who's difference is 18 but multiply to 2128.

What is 38 and 56

500

A rectangular enclosure at the zoo is 35 feet long by 18 feet wide. The zoo wants to double the area of the enclosure by adding the same distance x to the length and wide. The dimensions of the enclosure.

What is 45 feet by 28 feet.