Quadratics Unit Review pt.2

Solving by factoring

100

Solve this quadratics by factoring.

x² + 2x = 3

x² + 2x - 3 = 0

     = (x-1)(x+3) = 0

     x = 1 or x = -3

200

Solve this quadratic equation by factoring.

X² + 16 = 10x

x² - 10x + 16 =0

       (x-2)(x-8)

               x = 2 or x = 8

300

-x² - x + 2

x = -2     and x = 1

400

What is the value of the smaller zero of the function f(x) = 2x² - 8x - 24

a. -6

b. 2

c. 6

d. -2

What is d, -2 ?

500

Solve this quadratics equation by factoring.

18x² - 3x = 6

18x² - 3x -6 = 0

       =  3(6x² - x - 2) = 0

       =  3(3x -2)(2x +1)= 0

       =  3x -2 = 0   2x + 1 = 0

        x = 2/3 or x -1/2

Solving by taking difference of perfect squares

100

Solve this equation by taking square roots.

x² - 81 = 0

x = 9 and -9

200

Solve this equation by taking square roots.

x² -121 = 0

x = 11 and -11

300

Solve this equation by taking square roots.

x² + 1 = 26

x² = 25

x= 5, -5

400

f(x) = x² - 196

x = - 14 and x = 14

500

Solve this equation by taking square roots.

(x-4)² - 16 = 0

(x-4)² = 16

x- 4 =±  4 

x = 0 or 8

Solve by any method

100

v² +2v-8=0

{2,-4}

200

2n²-n-4=2

{3/2 ,1}

300

x²+2x-24=0

{4,-6}

400

x²-11x+19=-5

{3,8}

500

x² - 15 = -40

x = 5      and       x = -5

Trajectory

100

A football is punted during a game and can be modeled by the function, h(t)=-3t²+18t+21. The football hit the ground after ________ seconds

What is 7 seconds?

200

1.  Andrew threw a spear into the air. The function h(t)=-5t²+40t-60. The spear reached a maximum height of ____________ feet

Wat is 20 ft ?

300

1.  Andrew threw a spear into the air. The function h(t)=-5t²+40t-60. The spear reached its maximum height after _________ seconds.

What is 4 seconds ?

400

A football is punted during a game and can be modeled by the function, h(t)=-3t²+18t+21. The football reached its maximum height after  ________ seconds

What is 3 seconds ?

500

A football is punted during a game and can be modeled by the function, h(t)=-3t²+18t+21. The football's maximum height is _________ ft

What is 48 ft ?

Geometry

100

A school is building a rectangular garden that has an area of 60 square yards. The garden must be 4 yards longer than its width. the garden is _______ yards long.

What is 10 yards?

200

The length of a rectangle is represented by (x+4) and the width is represented by (x-2). Which expression represents the area of the rectangle?

a. x² - 8

b. x²+2x - 8

c. 2x²+2

d. 4x+4

What is b?

300

The length of a rectangular swimming pool is 7 yards greater than the width. If the area of the pool is 60 square yards, what is the length of the swimming pool?

What is 12 yards? 

400

1. The width of a rectangle is 3 cm less than the length. If the area is 10 cm², the width of the rectangle is _________

What is 2 cm ?

500

The length of a Ping-Pong table is 3 ft more than 3 times the width. The area of the Ping-Pong table is 90 square feet. What are the dimensions of a Ping-Pong table?

What is 18 ft long       and            5 ft wide ?