Download If 3x is one factor of , what is the other factor

Name: ________________________
Mr. Art
Date: _____________
Period: ___________
Review # _____
Quadratic Equations
(Algebraically)
Part I: Linear vs. Quadratic Equation
Equation
Type of
Equation
x2 + 6x + 5 = 0
3x + 7 = 10
x ( x - 3 ) = 10
Degree
Part II: Multiple Choice
Directions: Place the correct choice on the line to the left of each question.
_____1) Which of the following is the solution set (roots) for y2 - y - 30 = 0?
(1) {5, 6}
(3) {-1, -30}
(2) {-6, 5}
(4) {-5, 6}
_____2) What is the smallest member of the solution set of x2 + 4x = 45?
(1) {- 9}
(3) {5}
(2) {9}
(4) {– 5}
_____3) Which of the following is the solution set for y2 = 64?
(1) {-8, 8}
(3) {8}
(2) {64,-64}
(4) {0, 64}
_____4) The length of a rectangular window is 5 feet more than its width, w. The area of
the window is 36 square feet. Which equation could be used to find the
dimensions of the window?
(1) w2  5w  36  0
(3) w2  5w  36  0
(2) w2  5w  36  0
(4) w2  5w  36  0
Part III: Short & Long Answer
Directions: Show ALL work to receive full credit. SOLVE ALGEBRAICALLY!
Remember: 1) When the problems provides variables  No need for Let Statements
2) When you introduce the variable  Let statements
5) Find the solution set for y2 – 3y = 28.
6) Find the positive root of the equation x(x – 2) = 35.
7) Solve for x:
x 144

9
x
8) Solve for x:
x2 x2

2x  1
3
9) The sum of the squares of two consecutive, positive is 61. Find the integers.
10) Two numbers are consecutive integers. The square of the lesser added to twice the greater is
37. Find the numbers.
11) Find two consecutive even integers such that the square of the smaller is 10 more than the
larger.
12) The ratio of the measures of the length and width of a rectangle is 4:3. The area of the
rectangle is 108 square feet. Find the dimensions of the rectangle.
13) The altitude of a parallelogram measures 11 centimeters less than its base. The area of the
parallelogram is 80 square centimeters. Find the measure of its base and altitude.
14) 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.
15) One number is 3 less than another number. Their product is 40. Find the numbers.