Log inSign up for FREE
Library

Math 2 Unit 3 Test - Solving Quadratics

Last updated about 4 years ago
20 questions
Note from the author:
SRMHS Math 2 Unit 3 Test - Solving Quadratics (Fall 2021)

Showing your work!

For any problems that say "show your work," you may choose to do one of the following:
1) Use the "show your work" area to write, draw, or type the math. (There is a math keyboard there.)
2) Do your work on notebook paper (labeled neatly) and give it to me at the end of the test.
5

Solve the quadratic using any method.
x^{2}+15x+56=0
Show your work.

5

How many real solutions does this quadratic equation have? (You do NOT need to find the solutions.)
x^{2}+9x-8=0

1

All quadratic equations will have at least one imaginary solution.

5

Solve the following quadratic equation by factoring:
6x^{2}-42x+72=0
Type your two answers in the format: ___,___
(Separate your answers with a comma. Do not put any spaces. Do not type x=.)

5

What would be the first step to solving the following quadratic by the Quadratic Formula?
b^{2}-16b+64=19

5

What is the solution of the quadratic equation 2x^{2} - x = 14?
Show your work in the space provided.

5

Solve for c by factoring.

Type your two answers in the format: ___,___
(Separate your answers with a comma. Do not put any spaces. Do not type x=.)

5

Given the standard form, find the factored form.

5

Factor the polynomial:

5

Solve by completing the square. Show your work.

5

Solve the equation by completing the square. Simplify your answer. Use the keypad to the right of the answer blank to type the plus/minus and the square root symbols. Make sure your correct answer is on your work as well.

5

Write the expression below in simplest radical form:

5

Simplify the radical.
\sqrt{-27}

5

Factor the expression (x-81)^2

5

Solve the equation by using square roots. 3x^{2}=21

5

Factor out the GCF. 6x^{5}+8x^{3}

5

Factor completely. Write your final answer without spaces! Show your work!

5

Solve the equation by graphing on this graphing calculator. Type your solutions in the "show your work" area for full credit. (Just having the correct graph WITHOUT identifying the solutions will NOT be full credit.)
y=4x^{2}+3x-1

5

Choose the number that fills in the blank to complete the square.
x^{2}+12x+____

4

Identify the factors, and solution(s) of the quadratic equation.
Hint: You should only use four things (two for factors and two for solutions

  • (x + 3)
  • (2x - 1)
  • x = 1
  • x = -3
  • no solution
  • (x - 1)
  • x = ½
  • Factors
  • Solution(s)