Solving Quadratic Equations

Solving Quadratics

100

What is the quadratic formula?

x = -b +- sqrt(b² - 4ac) /(2a)

200

Solve the following quadratic equation by factoring. x²+3x+2 = 0

x = -2 x = -1

300

Solve the following quadratic equation by using the quadratic formula: 4x² - 17x - 15 = 0

x = 5 x = -3/4

400

Solve the following quadratic equation  x² - 6x - 27 = 0

x = 9 x = -3

500

Solve the following quadratic equation 2x² - 5x - 3 = 0

x = -1/2 x = 3

Square Roots

100

Solve the following quadratic equation by using square roots: x² = 4

x = 2 x = -2

200

Solve the following quadratic equation by using square roots: x² = 121

+11 or -11

300

Solve the following quadratic equation by using square roots: 4x² = 400

x = 10 x = -10

400

Solve the following quadratic equation by using square roots: x² -9 = -8

1 or -1

500

Solve the following quadratic equation by using square roots: 5x² + 3 = 128

x = 5 x = -5

Literal Equations

100

What are you solving for?

"Solve for x: y=mx+b"

x

200

What is your first step?

"Solve for x: y=mx+b"

subtract b from both sides

300

Solve for a: z=bam

a=z/bm

400

Solve for x: g=y+x-c

x=g-y+c

500

Solve for a: g=ca-b

a=(g+b)/c

Evaluating Functions

100

Evaluate for the given value: 

f(x)=x+4 find f(-3)

1

200

Evaluate for the given value: 

f(x)=x²+4x find f(-3)

-3

300

Evaluate for the given value: 

f(x)=x²+2x-1 Find f(-3)

2

400

Evaluate for the given value: 

f(x)=-x²-6x-9 Find f(-1)

-4

500

Evaluate for the given value: 

f(x)=x²-10x+19 find f(3)

-2

Solving Equations

100

2(-7k+5)=40-8k       

Your friend says the first step is to combine the -7k and the 5 to make -2k and then continue. Is he correct? Explain. 

No, we can't combine them because one is a letter and the other is a number. We should distribute the 2 first. 

200

-7m+4=2(m-1)-8m

6

300

What is the first step in solving this equation?

-6(1+4v)=186

Distribute the -6 

400

-6(1+4v)=186

-8

500

-7+4(1-6p)=189

-8