Math Study Game :)

Converting Expressions

100

Convert this expression from Standard form to Factor form 

f(x)=x²-6x+5

f(x)=(x-5)(x-1)

200

Convert this expression into Factor Form

f(x)=x²+7x+10

f(x)=(x+5)(x+2)

300

Convert this expression from Factor form to Standard form. (Box Method)

f(x)=(x-4)(x-9)

f(x)=x²-13x+36

400

Convert this expression into Standard form (Box Method)

f(x)=(x-6)(x+3)

f(x)=x²-3x-18

Identifying key features

100

Identify the y-intercept of this expression

f(x)=x²-6x+5

y-intercept is equal to 5 

200

Identify the x-intercepts of this expression

f(x)=x²-6x+5

x-intercepts are equal to 1,5 

300

Identify the vertex of this expression

f(x)=x²-6x+5

The vertex of this is 3,-4

400

Identify the axis of symmetry of this expression

f(x)=x²-6x+5

x=3

x=3,-4

Identifying key features 2

100

Identify the y-intercept of this expression

f(x)=x²-12x-28

-28

200

Identify the x-intercepts of this expression

f(x)=x²-12x-28

-2,14

300

Identify the vertex of this expression

f(x)=x²-12x-28

6,-64

400

Identify the axis of symmetry of this expression

f(x)=x²-12x-28

x=6

x=6,-64

Solving Quadratic Equations

100

Solve the following quadratic equation

x²+10x+9=0

x=-9,-1

200

Solve the following quadratic equation

x²-2x-15=0

x=5,-3

300

Solve the following quadratic equation

x²+10x+16=0

x=-8,-2

400

Solve the following quadratic equation

f(x)=x²+8x-1

x=-8+/-2 sqrt17

x=-4+/- sqrt17

Identify points of quadratic functions

100

What was the starting height of the diver?

h(t)=3t²-18t+25

25

200

When did the diver hit the water for the first time?

h(t)=3t²-18t+25

2.18

300

What was the lowest height of the diver?

h(t)=3t²-18t+25

3,-2

400

After how many seconds did the diver come up for air?

h(t)=3t²-18t+25

3.816 or 3.2