MolnarMath

Quadratic Equations

100

What is the vertex form?

y=a(x-h)² +k

200

x²-2x-15

x= {-3,5}

300

Write an equation of the function y=x² that is vertically compressed by 1/2, translated 3 units right, and 2 units up 

y=1/2(x-3)+2

400

Find the value of x from a (x+1) by (x-4) rectangle if the area is 14 square feet

x=6

500

A phone is dropped from a 5-foot platform and the path that the phone takes can be modeled by the equation h= -16t² + 144. How long will it take for the phone to reach the ground? 

3 seconds

Polynomials

100

a²b² - 144

(ab+12)(ab-12)

200

y² + 81

prime

300

32x² - 18y²

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

400

6w(3w²-2w)+ 2w(-4w²+4w)

10w³ - 4w²

500

(18a³b² - 6a²b + 3ab) / (3ab)

6a²b-2a+1

Relations & Functions

100

What is the range of the relation {(-2,2),(-6,4),(-3,5)}?

{2,4,5}

200

What is the domain of the relation below? (graph on desmos)

x=-(y)²+ 3

x ≤ 3

300

Is the graph of a sideways "W" a function?

No

400

What is the equation of these ordered pairs? 

(2,-4),(4,-3),(6,-2),(8,-1),(10,0)

y = 1/2x -5

500

If f(x)= -x² + 4x find f(4)-2 

-2

Exponents

100

(x⁴)³

x¹²

200

3^-2/x^-4

x⁴/9

300

(6x⁰z^-2)/(3^-1y⁵)

18/y⁵z²

400

(2x^-3)² (x⁴y²)⁵

4x¹⁴y¹⁰

500

(4³x²y⁰)/(4⁵xy³)

x/16y³

Solving Inequalities

100

Solve using substitution {8x+3y=-9}

                                   {6x - y=-23}

(-3,5)

200

20y>-5+18y

y> -5/2

300

Ava has 37 coins, all nickels, and dimes in her wallet. The value of the coins is $3.10. How many dimes does Ava have?

25 dimes

400

Solve using elimination. {7x=3y+45}

                                   {4x+5y=16}

(6,-1)

500

Sally makes $8 an hour giving soccer lessons and $6 an hour dog walking. One weekend, she worked 10 hours and made $68. How many hours did Sally walk the dogs?

6 hours