Factoring
Word Problems
Proportions
100
Use the Zero Product Property to solve the following quadratic equation.
(x - 7)(x + 2) = 0
x = 7
x = -2
100
The width of a rectangle is 4 units less than the length. The area of the rectangle is 32 square units. What is the length, in units, of the rectangle?
length = 8
100
Solve for all values of x.
x=6, x=-6
200
Solve the following quadratic equation by factoring. x2+3x+2 = 0
x = -2
x = -1
200
When 18 is subtracted from the square of a number, the result is 3 times the number. Find the positive solution.
Positive Solution: 6
200
Solve for all values of x.
x=5, x=-5
300
Solve the following quadratic equation by factoring. x2 - 6x + 5 = 0
x = 5
x = 1
300
The difference of the square of a number and 36 is equal to 5 times that number. Find the negative solution
Negative Solution: -4
300
Solve for all values of x.
x=3, x=-3
400
Solve the following quadratic equation by factoring. x2 - 6x - 27 = 0
x = 9
x = -3
400
The length of a rectangle is the sum of the width and 3. The area of the rectangle is 54 square units. What is the width, in units, of the rectangle?
width=6
400
Solve for all values of x.
x=2, x=-6
500
Solve the following quadratic equation by factoring. 2x2 - 5x - 3 = 0
x = -1/2
x = 3
500
The width of a rectangle is 3 units less than the length. The area of the rectangle is 10 square units. What is the length, in units, of the rectangle?
Length=5
500
Solve for all values of x.
x=4, x=-3