SolvingEquationsbyFactoring
Name
Pd.
Writethe4steps,inorder,forsolvingaquadraticequation.
1.
2.
3.
4.
Whenyouverifyyoursolutionstoanequationusingthegraphingcalculator,whatpoint
onthegraphareyoulookingfor?(Nameall3waysofdescribingit).
a)
b)
c)
1.
x(x7)=0
2

Solving Equations using the Quadratic Formula
The Quadratic Formula can be used to solve equations that contain an x2 term.
The equation must be set equal to zero, before you try to identify the coefficients.
ax2 + bx + c = 0
a is the coefficient to the s

Quadratic functions review QUIZ
COURSE 4
DO NOT WRITE ON THIS SHEET!
1. Find the vertex of the graph of f(x) = x2 + 4x - 5.
2. Solve y2 + 8y + 16 = 0 by factoring.
(Write the factored form of the equation on the answer sheet!)
3. Which quadratic equation

Quadratics and Polynomial Test Practice Problems
Name:
Next class will be a test on all the material from quarter 1 (100 pts), with an emphasis on the new material
below. Do this whole packet, check answers on-line, and then work through all the past prac

Name:_
Period:_
Chapter 4 Notes Packet on Quadratic Functions and Factoring
Notes #15: Graphing quadratic equations in standard form, vertex form, and intercept form.
A. Intro to Graphs of Quadratic Equations: y ax 2 bx c
A _ is a function that can be wri

ALGEBRA UNIT 11-SOLVING QUADRATIC EQUATIONS
SOLVING QUADRATICS BY FACTORING (DAY 1)
Quadratic Equation (Standard Form):
HOW TO SOLVE QUADRATIC EQUATIONS:
Step 1:
Write equation in Standard Form.
Step 2: Factor the quadratic equation.
Step 3: After the pro

Algebra II
Quiz Form C - Chapter 5 Sections 1 - 6
Read and follow all directions
carefully. Show your work.
Place answers in answer
column when is provided.
1. Let y
a. y-intercept.
b. x-intercepts
c. vertex
d. axis of symmetry.
2. Let y
a. y-intercep

Algebra II Test on Solving Quadratics
Name_
I. Multiple Choice
_ 1. Write in simplest radical form:
A) 2 5
B) 2 10
C) 5 2
_ 2. Write in simplest radical form:
A) 6 2
B) 4 6
20
C) 6 6
D) 10 2
96 =
D) 4 3
_ 3. What must be added to x 2 10 x to complete the

Name_ Date_ Class_
Algebra 8-7 Worksheet
Solving Quadratic Equations by Using Square Roots
1. Complete: If x2 = a and a is a positive real number, then x = _ or x = _.
Solve using square roots. Check your answers.
2
2. x 4
2
3. x 1 1 1
x 4
x 1 1 1 1
x 1 1

Name: _
_
Mr. Art
_
Date:
Period:
Practice Test # _
Solving Quadratic Equations
(Algebraically)
Part I: Multiple Choice
(4 points each)
Directions: Place the correct choice on the line to the left of each question.
_1) The equation x 2 6 0 has a degree of

Unit 4 Quadratic Functions Part A
Some mini-quizzes will be unannounced but are always open note.
HW Assignments will be worth 3 pts. Remember, if you dont show
work/setup you receive a zero.
ALL GRAPHS ON GRAPH PAPER
Name_ Period_
DAY
1
2
3
4
5
6
MINI

ALG. 2 CH. 5.1-5.4 TEST REVIEW - QUADRATIC EQUATIONS & FUNCTIONS
Multiple Choice
Identify the choice that best completes the statement or answers the question.
Determine whether the function is linear or quadratic. Identify the quadratic, linear, and cons

Factoring, Completing the Square, Quadratic Formula Quiz
Name_
Date_
Each question is worth two points each.
Solve the quadratic equation by factoring.
1. x 2 7 x 12 0
2. x 2 4 x 21 0
3. x 2 2 x 15 0
4. 2 x 2 5 x 18 0
Solve the quadratic equation by compl

HW Discriminant Worksheet
January Warm Up Quiz Friday 2-8-13
www.westex.orgHS, Teacher Website
2-7-13
Warm upAlgebra 2
Solve for x.
1. 4x2 + 12x = 14
Todays Goal
I will be able to:
1. use the discriminant to determine the
nature of
the solutions.
2. use t

Algebra 1R
Unit 10 Quadratic Equations and Functions
Mrs. Palider
Da
y
1
2
Dat
e
Topic
Graphing quadratic equations in the
form
y ax 2 c
Graphing parabolas in standard form
Solving quadratic equations by
graphing/using square roots
4
Solving quadratic equ

A Resource for Free-standing Mathematics Units
The Quadratic Formula
The Quadratic Formula
Quadratic equations have just one unknown, but contain a square term as well as linear terms.
For example, 2 x 2 x 3 is a quadratic equation in x
7t 5t 2 1 is a qua

Grade 10 Practice Factoring and Quadratic Equations
Multiple Choice
Identify the choice that best completes the statement or answers the question.
_
1. Expand and simplify (2x - 1)(x + 3)
a.
b.
c.
d.
2. Factor completely:
a.
b.
c.
d.
3. Factor completely:

Solving Quadratic Equations
Equations such as x2 = 64, x2 -5x = 0, and x2 + 4x = 5 are called quadratic equations. This
is because in each of these equations the greatest exponent of any variable is 2.
Standard Form of Quadratic Equations: ax2 + bx + c =

Completing the Square Quiz
1-5 Find the number that needs to be
added to each side of the equation to
complete the square :
1. x 2 10 x _ _
a.
b.
c.
d.
5
25
-5
-25
2. x 2 5 x _ _
e.
f.
g.
h.
5/2
-5/2
25/2
25/4
3. x 2 6 x _ 11 _
i.
j.
k.
l.
12
36
9
-9
4. 2

Integration Unit 8 PRACTICE TEST
Factoring and Solving
Multiple Choice Section
Name _ Period _
1. What is the GCF of 54 and 24?
A) 3
B) 1
C) 6
D) 2
2. If 6x2y2 were factored out of
24x2y3 18x3y2 the binomial left
would be?
A
B
C
D
4y 3x
4y2 18x
4x2y 3y
4x

Solving Quadratic Equations
By analytic and graphic methods;
Including several methods
you may never have seen
Pat Ballew, 2007
I received a copy of an old column in the
Mathematics Teacher (March, 1951, pp 193-194) from
David Renfro, who writes those won