SolvingEquationsbyFactoring
Name
Pd.
Writethe4steps,inorder,forsolvingaquadraticequation.
1.
2.
3.
4.
Whenyouverifyyoursolutionstoanequationusingthegraphingcalculator,whatpoint
onthegraphareyoulookingfor?(Nameall3waysofdescribingit).
a)
b)
c)
1.
x(x7)=0
2
Geometry Honors Trig Test Review #2
Name_
Write the trigonometric ratios for XYZ in the simplest form.
1. tan x_
2. sin y_
Y
3. cos x_
34
16
X
Z
30
Use a special right triangle to write each trigonometric ratio as a fraction.
7. sin 45_ 8. cos 30_ 9. tan
Pythagoras theorem & Trigonometry Topic Test
Name: _
Section A Multiple Choice Circle the correct answer
Pythagoras & Trigonometry Test
1
1
What is the length of the
4 hypotenuse
What is the
in value of the
7 pronumeral
Given sin
in 0.9816
this figure?
th
Geometry
Test Ch 9
Right Triangle Test
True/False (2 points each)
1. If asked to give an answer in radical form it means to give the answer with a
decimal.
a. true
b. false
2. Pythagoreans Theorem can be used for all triangles.
a. true
b. false
3. An angl
MHF4U Final Exam Review
Trigonometry Review
1. Sketch 2 2 of:
1
b) y = -4 cos 3
2
a) y = 2 sin3 -1
3
1
c) y =
sin2
4
2
d) y = -3 cos ( 4 ) -2
5
,
2. Sketch f( ) = 2 sin on the interval
.
6
6
6
a) Find the average rate of change (to 5 decimals) of th
Trigonometry Pre Test
1. A right triangle has legs of 16 and 30 feet. How long is its hypotenuse?
a) 46 feet
b) 34 feet
c) 46 feet
d)17 feet
2. One leg of a triangle is 12 inches while the hypotenuse is 13 inches. How long is
the other leg?
a) 5 inches
b)
Math 12 Practice Test Trigonometry (1)
Part A: Multiple Choice.
1) Convert
310 to
a) 5.41
2) Express
radians.
b) 1.72
5
3
a) 600
c) 2.71
d) 4.15
c)
d)
in degrees.
b) 150
240
3) Which expression is equivalent to
2
a) sin
b)
2 sin
7
2 csc
7
300
?
1
c) 2
Trigonometry Test Solutions
Part A Knowledge & Understanding
1.
2.
3.
4.
5.
6.
7.
8.
9.
0.7
20.1
59.0
15.5
12.2
ABC ~ DEC
similar
similar
problem that was meant was the order of operations
=100 + 36 120cos30
=16cos30
10. sine law
Part B Application
Level
Accelerated Math 3
Cumulative Assessment
Name_
200 points total
Each of the following is worth 2 points (1 25).
1. Find the length of the circular arc subtended by the central angle whose radian measure is 2
radians and the diameter of the circle is 10. M
_loves the OLD HIPPIE
Math II
Unit 2 Test
Period: _ Date: _
MM2G1 Students will identify and use special right triangles.
MM2G1a Determine the lengths of sides of 30-60-90 triangles.
MM2G1b Determine the lengths of sides of 45-45-90 triangles.
Find the m
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