Geometry
Quadratics EXAM
Section: 5 points each
Basic: 1 Correct: 3 points
Proficient: 2 Correct: 4 points
Advanced: 3 Correct: 6 points
Name____________________
Date ___________ Period ___
MUST SHOW ALL WORK FOR FULL CREDIT!
Section 1: Multiplying Binomials –
Simplify each product. Combine all like terms and leave answer in standard form.
B. -4x9(x2 +1)
P. (-3x - 2)(-3x + 2)
A. (3x -2y)2
Section 2: Finding the GCF –
Find the GCF of the following expressions.
B.
(5 – 50x2)
P.
(x4 – x)
A. (-12s2t5 + 6st3 – 14s8)
Section 3: Factoring by GCF–
Factor each binomial using the GCF from Section 3.
B.
(5 – 50x2)
P.
(x4 – x)
A. (-12s2t5 + 6st3 – 14s8)
Section 4: Factoring–
Factor each binomial. (you don’t need to solve for x!)
B.
x2 + 14x + 49
P. x2 – 14x -32
A. 2x2 + 12x + 18
Section 5: Solving Quadratic Equations by square roots –
Solve each quadratic equation for x. Give all solutions or write “no solution” if needed.
B. x2 = 81
P. 2x2 – 8 = 0
A. 3x2 + 15 = 0
Section 6: Solving Quadratic Equations by the zero-product property/factoring–
Solve each quadratic equation for x. Give both solutions.
B. (x + 4)(x -9)= 0
P. (7x + 2)(5x + 4)=0
A. x2 + x= 0
Section 7: Solving Quadratic Equations by the quadratic formula–
Solve each quadratic equation for x using the quadratic formula. Give both solutions.
B.
x2 + 6x – 5 = 0
P. 2x2 -24x + 33 = 0
A. 2x2 + 7x = -6
Section 8: Solving Quadratic Equations–(square roots, factoring, or quadratic formula)
Choose the best method to solve each quadratic equation.
You do NOT need to solve for x! Just decide which method and WHY you chose it!
B. 5x2 – 2x -7 = 0
P. 2x2 = 72
A. x2 – 4x + 4 = 0
Section 9: Applications –
B. What is the area of the box? SIMPLIFY
P. Write an expression that represents the area of the shaded region. SIMPLIFY
A. The area of a rectangular patio is 800 feet2. The patio’s length is twice its width.
Find the dimensions of the patio.
Section 10: Vocabulary (matching worth 1 point each)–
_______ Binomial
A. (x -2)(3x + 8) = 0
_______ Factored Form
B. biggest term that goes in evenly
_______ Expanded Form
C. an expression with multiple terms
_______ Zero Product Property
D. 12z + 7y
_______ Polynomial
E. -2x12 + 8x3 + 12
_______ Standard Form
F. 8x3 + 12 -2x12
______
H. (x -2 )(3x + 8)
Greatest Common Factor (GCF)