Quadratic formula Study guides, Class notes & Summaries
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CSU MATH PLACEMENT WITH COMPLETE SOLUTIONS 100% 2023/2024
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CSU MATH PLACEMENT WITH COMPLETE SOLUTIONS 100% 2023/2024 
slope-intercept form 
y = mx + b 
 
 
slope formula 
m = (y₂- y₁) / (x₂- x₁) 
 
 
point slope form 
y - y₁ = m(x - x₁) 
 
 
standard form 
Ax + By = C 
 
 
distance formula 
d = √[( x₂ - x₁)² + (y₂ - y₁)²] 
 
 
equation of a circle 
(x - h)² + (y - k)² = r² 
where (h,k) is the center and r is the radius 
 
 
absolute value piece wise function 
|x| = { x if x >or= 0 
{ -x if x < 0 
 
 
FOIL 
First, Outer, ...
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Developmental Mathematics through Applications Basic College Mathematics and Algebra 1st Edition by Geoffrey Akst
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1. Whole Numbers 
 
1.1 Introduction to Whole Numbers 
 
1.2 Adding and Subtracting Whole Numbers 
 
1.3 Multiplying Whole Numbers 
 
1.4 Dividing Whole Numbers 
 
1.5 Exponents, Order of Operations, and Averages 
 
1.6 More on Solving Word Problems 
 
 
 
2. Fractions 
 
2.1 Factors and Prime Numbers 
 
2.2 Introduction to Fractions 
 
2.3 Adding and Subtracting Fractions 
 
2.4 Multiplying and Dividing Fractions 
 
 
 
3. Decimals 
 
3.1 Introduction to Decimals 
 
3.2 Adding and Subtracting...
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Honors Geometry Semester B Question and answers 100% correct 2023/2024
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Honors Geometry Semester B Question and answers 100% correct 2023/2024golden ratio - correct answer a ratio of about 8 to 5, or 1.618; the exact ratio is (1+sqrt5)/2 
 
golden rectangle - correct answer a rectangle with a length-to-width ratio equal to the golden ratio 
 
ratio - correct answer A comparison of two values 
 
quadratic formula - correct answer x = -b ± √(b² - 4ac)/2a 
 
chambered nautilus
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MATH PLACEMENT TEST EQUATIONS WITH COMPLETE SOLUTIONS 100% 2023/2024
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MATH PLACEMENT TEST EQUATIONS WITH COMPLETE SOLUTIONS 100% 2023/2024 
Distance Formula 
d=√(x₂-x₁)²+(y₂-y₁)² 
 
 
Quadratic Equation 
ax²+bx+c=0 
 
 
Quadratic Formula 
x=-b±√b²-4ac/2a 
 
 
Discriminant 
b²-4ac=0 has 1 real solution b²-4ac>0 has 2 
 
 
Avg Rate of Change for a Function 
∆f(x)/∆x 
 
 
lne = 
0 
 
 
Inverse Function 
xlogx=xyx 
 
 
2π 
360 
 
 
Angle Measure 
x/y=360/2π 
 
 
sinθ (Def of Circular Function) 
y/r 
 
 
cosθ (Def of Circular Function) 
x/...
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Mathnasium Assessment Info with complete solutions.
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Perimeter of a Rectangle 
2(L+W) 
 
 
 
Area of a Rectangle 
L*W 
 
 
 
Area of a Parallelogram 
B*H 
 
 
 
Circumference of a Circle 
2piR 
 
 
 
Area of a Circle 
Pi*R^2 
 
 
 
Pythagorean Theorem 
A^2+B^2=C^2 
 
 
 
Area of a Triangle 
1/2(B*H) 
 
 
 
Area of a Trapezoid 
1/2(H)*(B1+B2) 
 
 
 
Volume of a rectangular solid 
LWH 
 
 
 
Surface Area of a Rectangular solid 
2LW+2LH+2WH 
 
 
 
Volume of a Cylinder 
piR^2H 
 
 
 
Volume of a Cone 
1/3(piR^2H) 
 
 
 
Volume of a Square Pyramid 
1/3...
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GRE Math Formulas Final Exam Prep Questions.
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GRE Math Formulas Final Exam Prep Questions. 
 
 
Percent - CORRECT ANSWER part = percent X whole 
 
Percent Increase - CORRECT ANSWER Amount of Increase/Original Whole X 100% 
 
Percent Decrease - CORRECT ANSWER amount of decrease/original whole X 100% 
 
common multiple of 2 numbers - CORRECT ANSWER prime factor both numbers; multiply each factor the greatest number of times it appears in factorization. 
 
Average - CORRECT ANSWER Average = Sum of terms/number of terms 
 
Average to find the s...
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Math 120 TOP Exam Questions and CORRECT Answers
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solve by creating the square 
x² + 12x +32 = 0 
solve by creating the square 
3x² − 7x + 2 = 0 
solve using the quadratic formula 
let g(x) = 4x² - 2x - 3. 
Find x such that g(x) = 0 
solve using the quadratic formul
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ALEKS WITH COMPLETE SOLUTIONS 100% 2023/2024
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ALEKS WITH COMPLETE SOLUTIONS 100% 2023/2024 
Quadratic Formula 
-b±[√b²-4ac]/2a 
 
 
Slope 
(y₂-y₁)/(x₂-x₁) 
 
 
Slope-Intercept 
y=mx+b 
 
 
a³-b³ 
(a-b)(a²+ab+b²) 
 
 
a³+b³ 
(a+b)(a²-ab+b²) 
 
 
a²-b² 
(a-b)(a+b) 
 
 
a²-2ab+b² 
(a-b)² 
 
 
a²+2ab+b² 
(a+b)² 
 
 
(a+b)(c+d) 
ac+ad+bc+bd 
 
 
a(b+c) 
ab+ac 
 
 
sine ratio 
opposite ÷ hypotenuse 
 
 
cosine ratio 
adjacent ÷ hypotenuse 
 
 
tangent ratio 
opposite ÷ adjacent 
 
 
Direct Variation 
y=kx 
 
 
Inver...
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Praxis 5165 Study Guide Rated A+
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Praxis 5165 Study Guide Rated A+ formula for the volume of a cylinder V=pir^2h 
formula for the volume of a cone V=1/3pir^2h 
discriminant b^2-4ac 
If the discriminant is positive the quadratic equation has two real and distinct solutions 
If the discriminant is zero the quadratic equation has only one solution or two real and equal solutions 
If the discriminant is negative the quadratic equation has no real solutions 
x-coordinate of the vertex of a parabola -b/2a 
68-95-99.7 rule In a normal ...
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SDSU MATH PLACEMENT ASSESSMENT FORMULAS WITH COMPLETE SOLUTIONS 100% 2023/2024
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SDSU MATH PLACEMENT ASSESSMENT FORMULAS WITH COMPLETE SOLUTIONS 100% 2023/2024 
vertex 
-b/2a 
 
 
domain and range 
(-∞ ,∞) 
and brackets for numbers for sure or equal to [ , ] 
parentheses for < or > or infinity 
 
 
end behavior 
odd: different- positive: falls left, rises right; negative: rises left, falls right 
 
even: same- positive: rises x2; negative: falls x2 
 
 
polynomial division 
answer+ (remainder/divison) 
 
 
quadratic formula 
-b±[√b²-4ac]/2a 
 
 
Vertical asympt...
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