Ch.2-3

determine intercepts from factored form

100

(x-5)(x-4)=y

(5,0) and (4,0)

200

(x+1) (x-4)=y

(0,-4)

300

(x+4)(x+1)=y

(-4,0) (-1,0)

400

(x-3)(x+1)=y

(3,0) (-1,0)

500

(5x+5)(5x+10)=y

(-1,0) (-2,0)

Quadratic Functions

100

Determine the value of y, if x is −4.

y=x^2+7

23

200

Determine the value of y, if x is 7.

y=x^2-1

48

300

Determine the value of y, if x is −5.

y=x^2-2

23

400

Determine the value of y, if x is 6.

y=x^2 -6

30

500

Determine the value of y, if x is 11.

y=x^2 +9

130

Quadratic word problems

100

A company sells widgets. The amount of profit, y, made by the company, is related to the selling price of each widget, x, by the given equation. Using this equation, find out what price the widgets should be sold for, to the nearest cent, for the company to make the maximum profit.

y=-17x^2 + 631x-3081

18.56

200

A rocket is launched from a tower. The height of the rocket, y in feet, is related to the time after launch, x in seconds, by the given equation. Using this equation, find the time that the rocket will hit the ground, to the nearest 100th of second.

y=-16x^2+172x+ 146

11.54

300

A rocket is launched from a tower. The height of the rocket, y in feet, is related to the time after launch, x in seconds, by the given equation. Using this equation, find the maximum height reached by the rocket, to the nearest tenth of a foot.

y=-16x^2+186x+75

615.6

400

A company sells widgets. The amount of profit, y, made by the company, is related to the selling price of each widget, x, by the given equation. Using this equation, find out the maximum amount of profit the company can make, to the nearest dollar.

y=-5x^2+263x-1844

1614

500

A rocket is launched from a tower. The height of the rocket, y in feet, is related to the time after launch, x in seconds, by the given equation. Using this equation, find the time that the rocket will hit the ground, to the nearest 100th of second.

y=-16x^2+231x+71

14.74

adding and subtracting polynomials

100

(4x^2-8)+(-10x^2+2)

-6x^2-6

200

subtract -10x^2-10x from -2x^2-10x

8x^2

300

find the sum of -6x^2-4 and 9x^2-7x

3x^2 -7x -4

400

find the sum of -4x^2 - 3x -3 and -4x^2 -9x

-8x^2 -12x -3

500

find the sum of -2x^2 + 5x +10 and -7x -3 

-2x^2 - 2x +7

Multiply Binomials

100

(2x-4)(3x+5)

6x^2 -2x -20

200

(2x-3)(3x-7)

6x^2 -23x +21

300

(3x+3)(2x+8)

6x^2 + 30x +24

400

(2x+2)(3x-8)

6x^2 -10x -16

500

(2x+3)(3x-5)

6x^2 -x -15