Quadratic formula - Study guides, Class notes & Summaries
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PRECALCULUS GUIDE
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PRECALCULUS GUIDE 
Rational Number - answer-any number that is a real number that can be written ass a 
terminating or repeating decimal 
Irrational Number - answer-real number that cannot be written as a terminating or repeating 
decimal (square root of 5) 
Quadratic Formula - answer-b±[√b²-4ac]/2a 
Factoring Cubes - answera^3+b^3=(a+b) (a^2-ab+b^2) 
-if it is A^3-B^3 then change to (a-b)(a^2+ab+b^2) 
Discriminant - answer-for quadratic expression, the discriminant is b^2-4ac 
-determines t...
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IB MATH AA SL SEMESTER 1 EXAM REVIEW 2024
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quadratic function - correct answer y=a(x-p)(x-q) 
 
a quadratic function has zeros at... - correct answer x=p and x=q 
 
quadratic formula - correct answer x = -b ± √(b² - 4ac)/2a 
 
discriminants - correct answer if b^2-4ac > 0 then 2 real solutions 
if b^2-4ac < 0 then 2 imaginary solutions 
if b^2-4ac = 0 then 1 solution with multiplicity of 2 
 
multiplication property of exponents - correct answer a^x*a^y = a^x+y 
 
division property of exponents - correct answer a^x/...
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UGA MATH PLACEMENT TEST WITH COMPLETE SOLUTIONS 100% 2023/2024
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UGA MATH PLACEMENT TEST WITH COMPLETE SOLUTIONS 100% 2023/2024 
x=5 (lin equation) 
1 solution 
 
 
4=5 (lin equation) 
0 solutions 
 
 
5=5 (lin equation) 
infinite solutions 
 
 
distance formula 
d squared= delta x squared plus delta y squared 
 
 
Slope Intercept Formula 
y=mx+b 
 
 
Point Slope Formula 
y-y1=m(x-x1) 
 
 
Two Point Formula 
y-y1=(y2-y1)/(x2-x1) x (x-x1) 
 
 
Standard Form of a Line 
ax plus by equals c 
 
 
if dividing an inequality by a negative number 
flip the sign 
 
 
I...
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Praxis II - 5155 Math/Science Latest 2024 Graded A+
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Praxis II - 5155 Math/Science Latest 2024 
 
Graded A+ 
 
Quadratic Formula Simplified Form: x= [-b ± √(b2 - 4ac)] / (2a) 
Standard Form: ax2+bx+c=0 
 
Distance Formula d = √[( x2 - x1) + (y2 - y1)] 
Also known as d=rt (distance = rate times time) 
 
Midpoint Formula (x,y)= (x1+x2)/2, (y1+y2)/2 
 
Slope Form m= (y-y)/(x-x) 
 
Slope-Intercept Form of the Line y = mx + b 
 
General Linear Form of the Line Ax+By=C 
 
Also known as the "Standard Form of the Line" 
 
Point-Slope Form of the Li...
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ALGEBRA 2 PLACEMENT TEST PRACTICE WITH COMPLETE SOLUTIONS 100% 2023/2024
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ALGEBRA 2 PLACEMENT TEST PRACTICE WITH COMPLETE SOLUTIONS 100% 2023/2024 
Zero and negative exponents 
* 
 
 
Absolute value equations 
* 
 
 
Factoring ax^2 + bx c 
* 
 
 
Factoring ax2 + bx + c (where a =1) 
* 
 
 
Factoring Perfect Square 
* 
 
 
Zero Product Property to Solve Quadratic Equations 
* 
 
 
Solving Quadratic Equations by Completing the Square 
* 
 
 
Solving Quadratic Equations with the Quadratic Formula 
* 
 
 
Point-slope Form 
* 
 
 
Solving Systems by Elimination 
**********...
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OAE MATHEMATICS 27 EXAM STUDY GUIDE
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Rational Numbers - Answer-Any number that can be expressed as a fraction with the numerator as an integer and the denominator is a non-zero integer 
 
Irrational Number - Answer-Any non-terminating, non-repeating number that cannot be expressed as a fraction (Ex: pi) 
 
Real Number - Answer-Any number that can fall into the above categories 
 
Complex Number - Answer-Any number that contains the imaginary number i, where i= square root of negative 1 
 
Greatest Common Factor (GCF) - Answer-The g...
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ALEKS EXAM STUDY GUIDE
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ALEKS EXAM Quadratic Formula - Answers --b±[√b²-4ac]/2a 
 
Slope - Answers -(y₂-y₁)/(x₂-x₁) 
 
Slope-Intercept - Answers -y=mx+b 
 
a³-b³ - Answers -(a-b)(a²+ab+b²) 
 
a³+b³ - Answers -(a+b)(a²-ab+b²) 
 
STUDY GUIDE
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Texas teaching cert Math 2024 Exam Questions Complete Solutions
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Texas teaching cert Math 2024 Exam Questions Complete Solutions 
 
Word processing software - Answer -used to create documents; used for planning, drafting, editing, revising, and publishing written work 
 
Pie chart - Answer -A graph in which a circle is divided 
 
Verbal representation - Answer -word problems and verbal descriptions of how to solve a problem or what the solution means 
 
Search engine - Answer -tool used to locate information on the internet 
 
Spreadsheet - Answer -A tabular ...
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Mathnasium - Math Literary Test with 100- correct answers
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Perimeter of a rectangle 
P= 2L + 2w 
 
 
 
Area of a rectangle 
A=lw 
 
 
 
Area of a parallelogram 
A=bh 
 
 
 
Circumference of a circle 
C=2πr 
 
 
 
Area of a circle 
A=πr² 
 
 
 
Pythagorean Theorem 
a²+b²=c² 
 
 
 
Area of a triangle 
A= 1/2 bh 
 
 
 
Area of a trapezoid 
A=1/2h (b1+b2) 
 
 
 
Volume of a rectangular solid 
V=lwh 
 
 
 
Surface area of a rectangular solid 
SA=2(lw+lh+wh) 
 
 
 
Volume of a cylinder 
V=πr²h 
 
 
 
Volume of a cone 
V=1/3πr²h 
 
 
 
Volume of a sq...
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UGA MATH PLACEMENT TEST WITH COMPLETE SOLUTIONS 100% 2023/2024
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UGA MATH PLACEMENT TEST WITH COMPLETE SOLUTIONS 100% 2023/2024 
x=5 (lin equation) 
1 solution 
 
 
4=5 (lin equation) 
0 solutions 
 
 
5=5 (lin equation) 
infinite solutions 
 
 
distance formula 
d squared= delta x squared plus delta y squared 
 
 
Slope Intercept Formula 
y=mx+b 
 
 
Point Slope Formula 
y-y1=m(x-x1) 
 
 
Two Point Formula 
y-y1=(y2-y1)/(x2-x1) x (x-x1) 
 
 
Standard Form of a Line 
ax plus by equals c 
 
 
if dividing an inequality by a negative number 
flip the sign 
 
 
I...
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