Solving Quadratics

Graphing

100

Graph the function:

f(x)=x²

Draw a rough sketch of your graph. Write your solution set as x=__,__

x=0

200

Graph the function:

f(x)=(x+1)²-4

Draw a rough sketch of your graph. Write your solution set as x=__,__

x = -3,1

300

Graph the function:

f(x)=-(x+5)²

Draw a rough sketch of your graph. Write your solution set as x=__,__

x=-5

400

Graph the function:

f(x)=-(x+4)²-3

Draw a rough sketch of your graph. Write your solution set as x=__,__

No Real Solutions

500

Graph the function:

f(x)=-3(x+4)²+3

Draw a rough sketch of your graph. Write your solution set as x=__,__

x=-3,-5

Factoring

100

Solve the equation by factoring.

x²+4x=0

Write your solution set as x=__,__

x=0,-4

200

Solve the equation by factoring.

9x²=25

Write your solution set as x=__,__

x=-(5/3),(5/3)

300

Solve the equation by factoring.

x²-10x=-21

Write your solution set as x=__,__

x=3,7

400

Solve the equation by factoring.

x²+11x+29=x+4

Write your solution set as x=__,__

x=-5

500

Solve the equation by factoring.

2x²-2x-24

(Hint: Look for a GCF first) Write your solution set as x=__,__

x=-3,4

Square Roots

100

Solve the equation using the square root method.

x²-36=0

Write your solution set as x=__,__

x=-6,6

200

Solve the equation using the square root method.

7x²+8=15

Write your solution set as x=__,__

x=-1,1

300

Solve the equation using the square root method.

9x²+3=111

Write your solution set as x=__,__

x=-2(3)^1/2,2(3)^1/2

400

Solve the equation using the square root method.

5x²+10=310

Write your solution set as x=__,__

x=-2(15)^1/2,2(15)^1/2

500

Solve the equation using the square root method.

8x²-3=597

Write your solution set as x=__,__

x=-5(3)^1/2,5(3)^1/2

Mixture

100

How many solutions does the following equation have?

x²-1=0

2 solutions

200

Identify the roots of the quadratic equation below.

f(x)=(x+5)(x+6)

Write your solution set as x=__,__

x=-5,-6

300

Solve the equation by factoring.

2x²=5x

Write your solution set as x=__,__

x=0,5/2

400

Solve the equation using the square root method and factoring method.

25x²=4

Write your solution set as x=__,__

x=-2/5,2/5

500

Identify the roots of the equation below.

f(x)=x²-5x+6

x=2,3

Random

100

How many siblings does Mr. Sirwell have?

2 siblings

200

When graphing a quadratic equation, where are the solutions/roots/zeros at?

Where the quadratic crosses the x-axis.

300

How many different types of solutions are there when solving quadratics, and what are they?

3 types

2 solutions, 1 solution, and 0 real solutions

400

Two Truths and a Lie. Find the Lie.

1. I have never been out of the country.

2. I have two pet cats named Hershey and Marbles.

3. I do not like watermelon.

1. I have never been out of the country.

500

Where did Mrs. Poleski go to college at?

IUP