word problems
factor
factor
equations
graphing
100
Matt drops a rock into the water below from a height of 144 ft. Use the graph of 0 = 144- 16t2 to determine how long it takes the rock to hit the water.
3 seconds
100
factor: 6n2+9n
3n(2n+3)
100
factor: 2x2+11x+12
(x+4)(2x+3)
100
solve for x: 0 = x2 + 4x - 21
x = 3, x = -7
100
The zeros of the quadratic graph
What are x = -2, x = 0
200
The area of a playground is x2+16x+48 square feet. Find an expression for the length and width of the playground.
(x+12) and (x+4)
200
factor: x2+5x+6
(x+2)(x+3)
200
factor: 4x2-4x -3
(2x-3)(2x+1)
200
solve the equation x2 - 4 = 0
x = 2, x = -2
200
The vertex of the quadratic function
What is (-1, -1)
300
The area of a triangle is 6 ft2. Write an equation to solve for x. Area formula is A=(1/2)bh
6=(1/2)(2x)(x+5)
300
factor: x2 - 3x - 10
(x + 2)(x - 5)
300
factor: 2x2+4x+2
(2x+2)(x+1)
300
solve for x: x2 - 11x = -18
x=9, x=2
300
The axis of symmetry of the quadratic function
what is x = -0.5
400
Find the value of x for the the 300 point question
6=(1/2)(2x)(x + 5)
x = 1
400
factor: k2-18k+81
(k-9)2
400
factor: 4x2-25
(2x+5)(2x-5)
400
solve for m: 2m2-11m+15=0
m=3, m= 5/2
400
solutions of the quadratic function
what are x = -1.5 and x = 0.5
500
Find the dimensions for the figure in the 300 point question. (x = 1 found in 400 point question)
2 ft by 6 ft
500
factor: 5t2-5t-10
5(t + 1)(t - 2)
500
factor: 2x2-19x+24
(x-8)(2x-3)
500
solve for x: 36x2=1
x=1/6, -1/6
500
the vertex and the axis of symmetry of the quadratic graph
what are (2, 3) and x = 2