Math Game Board Brian/Petros

Evaluate

100

f(x) = -4x² + x (find (-2))

-18

200

f(x) = -x² - 6x +17 ) Find f(1)

10

300

f(x)=-x² + 17 ( Find f(-3))

8

400

f(x) = -x² - 3x +19  ( find (-9))

-35

500

F(x)=-x²  find F(-4)

−16

Solving Quadratics by Factoring

100

Solve for all values of x by factoring.

x²−9x+3=−5

x=1    x=8

200

Solve for all values of x by factoring.

x²−7x−36=−2x

x=9   x=−4

300

Solve for all values of x by factoring.

x²−12x+35=0

x=7   x=5

400

Solve for all values of x by factoring.

x²+2x−15=0

x=−5   x=3

500

Solve for all values of x by factoring.

x²−4x−60=−3x−4

x=8    x=−7

standard to vertex

100

y=x²−10x+50 

y=(x−5)²+25 

200

y=x²−8x+41

y=(x−4)²+25

300

y=x²+4x−21

y=(x+2)²−25

400

y=x²+2x+13

y=(x+1)²+12

500

y=x²−8x−2

y=(x+7)²−25

Solving Quadratics with Square Roots

100

Solve the following quadratic equation for all values of x in simplest form.

8− x² =4

x=2,x=−2

200

Solve the following quadratic equation for all values of x in simplest form.

5(x−6)²−47=−42

x=7     x=5

300

Solve the following quadratic equation for all values of x in simplest form.

3(x²−3)+4=7

x=2,       x=−2

400

Solve the following quadratic equation for all values of x in simplest form.

2(x−8)²−21=−3

x=11   x=5

500

Solve the following quadratic equation for all values of x in simplest form.

4(x²−5)+6=−10

x=1,   x=−1

Multi-step Factoring

100

Factor completely.

−2x⁴−20x³−18x²

−2x²(x+1)(x+9)

200

Factor completely.

2x² + 32x +126

2(x+7)(x+9)

300

Factor completely.

2x²+24x+22

2(x+11)(x+1)

400

Factor completely.

5x³+55x²+120x

5x(x+3)(x+8)

500

Factor completely.

5x²+75x+270

5(x+6)(x+9)