Solving Quadratic Equations by Factoring Review

Zero Product Property

100

(x+3)(x-7)=0

x=-3 or x=7

200

Can the zero product property be applied to the following equation? Why or why not? (x+4)(x+18)=7

No - two things are being multiplied together, but they are not set equal zero.

300

(2x-7)(3x+9)=0

x=7/2 or x=-3

400

n(3n+5)=0

n=0 or n=-5/3

500

DOUBLE JEOPARDY - Wager up to your total points! a(a-5)=0

a=0 or a=5

Zeros

100

f(m)=m^2+2m-3

1 and 3

200

f(v)=v^2-7v+6

1 or 6

300

y=x^2-x-12

-3 and 4

400

f(r)=r^2+7r+12

-4 and -3

500

f(p)=p^2-9p+20

5 or 4

Solve Equations

100

3n^2-13n+4=0

n=1/3 or n=4

200

3x^2-8x+4=0

x=2/3 or x=2

300

DOUBLE JEOPARDY - Wager up to your number of points! 10x^2+x-3=0

x=1/2 or x=-3/5

400

3a^2-19a+20=0

a=4/3 or a=5

500

4v^2-1=0

v=-1/2 or v=1/2

Solve Equations Challenge

100

n^2+7n+14=2

(Hint, move things around so your equation is set equal to zero)

n=-4 or n=-3

200

5p^2=9p

(Hint, move things around so your equation is set equal to zero)

p=9/5 or p=0

300

3x^2+5x=2

(Hint, move things around so your equation is set equal to zero)

x=1/3 or x=-2

400

15m^2-2=-m

(Hint, move things around so your equation is set equal to zero)

m=-2/5 or m=1/3

500

14n^2-7n-5=-n^2-1

(Hint, move things around so your equation is set equal to zero)

n=-1/3 or n=4/5

Miscellaneous

100

r(3r+5)=0

r=-5/3 or r=0

200

3n^2+13n+12=0

n=-4/3 or n=-3

300

What are the coefficients of the equation below:


5x^2 - 12 x + 2

a=5
b= -12
c = 2

400

A uniform border on a framed photograph has the same area as the photograph. What are the outside dimensions of the border if the dimensions of the photograph are 25 cm by 20 cm? Write an equation that could be solved to find the width of the border.

4x^2+90x=500

500

-x^2+2x-19=-4-2x^2

x=-5 or x=3