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Zero Product Property
Multiplying and Factoring Polynomial Expressions
Solving Quadratic Equations
Word Problem Quadratic Equations
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100
Solve for x: (8)(4)(x)(3)=0
x=0
100
Find: (a+3)²
a²+6a+9
100
Solve for h: h²+13h=-30
h= -3 h= -10
100
The length of a rectangle is 6 inches more than its width. The area of the rectangle is 91 square inches. Find the dimensions of the rectangle.
Length= 13 in. Width=7 in.
100
Solve for g: (g+3)(g-8)=0
g= -3 g=8
200
Solve for x: (x+1)(x-7)=0
x=-1 x=7
200
(k+4)(k-2)
k²+2k-8
200
Solve for p: p²-7p=8
p= -1 p=8
200
The length of a rectangle is 4 times its width. The area of the rectangle is 144 square inches. Find the dimensions of the rectangle.
Width = 6 in., Length = 24 in.
200
Factor Completely: 15x²-40x-15
5(3x+1)(x-3)
300
Solve for x: (2x-1)(x+3)=0
x= 1/2 x= -3
300
Factor as the product of two binomials. x²+8x+12
(x+6)(x+2)
300
Solve for r: 7r²-14r=-7
r=1
300
The length of a rectangle is 4 cm more than 3 times its width. If the area of the rectangle is 15cm², find the width.
Width= 5/3 cm
300
The width of a rectangle is 11 inches less than its length. Find the dimensions of the rectangle if the area is 80 square inches.
Width = 5 in. , Length = 16 in.
400
Solve for h: h(2h+6)=0
h=0 h=-3
400
Factor Completely: 7n²-14n-21
7(n-3)(n+1)
400
Solve for x: 2x²-x=10
x=-2 x=5/2
400
Mischief is a toy poodle that competes with her trainer in the agility course. Within the course, Mischief must leap through a hoop. Mischief’s jump can be modeled by the equation ℎ = −16t²+12
t= 0 or t=3/4 The leap starts at 0 seconds and ends at 3/4 seconds.
400
Solve for x: 7x²+2x-5=0
x= -1 x= 5/7
500
Solve for n 6n²+n=0
n=0 n= -1/6
500
Factor completely. 16-49x²
(4+7x)(4-7x)
500
Solve for t: 2t²+11t=t²-t-32
t= -8 t= -4
500
 At a swim meet, Janet dives from a diving board that is 48 feet high. Her position above the water is represented by the equation h(t) = ­-16t²+24t+40, where t represents time in seconds and h(t) represents height in feet. After how many seconds does Janet enter the water? (Hint: Height above water would equal zero)
t= -1 seconds t= 5/2 seconds Positive value would be the answer.
500
Solve for y: 3y²-8=13
y = ±√7