Study guides, Class notes & Summaries

2 (two) If x+y = -2, then x+y+4 = what? 15 (fifteen) If 3/5 the perimeter of an equilateral triangle is 9, what is its perimeter? 1.5 (1 1/2) Water flows into a 60-liter tank and fills one fourth of the tank in 10 minutes. What is the rate of flow in liters per minute? $1.12 In a restaurant where the sales tax on a $5.00 lunch is $.40, what will be the sales tax due on a $14.00 dinner? 2 (two) If the average of two numbers is 5 and the product of the two numbers is 24, then what is t...

Function Equations --> f(x)= cx^2 + 30 and f(3)=12 What is value of f(-3)? When you get a function equation, take the other given equation and plug it into the function equation and solve for the variable that was not given. After solving the variable, plug in back into the original equation and then use the the given f(x) of the equation. Remember f(x) just means the given value of x. Correct Answer: 12 Fractional Exponents --> If a-4b=18, what is the value of 3^a/81^b To divide ...

Sample Size Sample size determination is the act of choosing the number of observations or replicates to include in a statistical sample. The BIGGER the sample size, the better the chance it will give ACCURATE results. Margin of Error Confidence interval, tells you how reliable your surveys are. The higher MOE, the more inaccurate the results are. The lower MOE, the more accurate the results are. A good rule is that if the difference between two numbers or percentages is smaller than the ...

Quadratic Formula x = [-b ± √(b² - 4ac)] / (2a) Slope Formula (y₂- y₁) / (x₂- x₁) Integers ..., -3, -2, -1, 0, 1, 2, 3, ... Rationals fractions (anything expessable as a ratio of integers) Reals integers, rationals, plus special #s (like √2 or π) Order of Operations PEMDAS (Parentheses / Exponents / Multiply / Divide / Add / Subtract) Arithmetic Sequences t₁, t₁+ d, t₁+2d, ... Geometric Sequences t₁, t₁· r, t₁· r², ... Factors ex. factors of ...

(3^a)^2 is equal to 9^a (a^3)^3 times (a)^(-9) is equal to 1 Polynomial expression one or more terms with a coefficient, a variable base, and an exponent. Base of a polynomial has an exponent attached to it. Slope less than 1 y is less than x x^1 = x 3^1 = 3 x^0 = 1 x^m * x^n = x^m + n x^m/x^n = x^m-n (x^m)^n = x^mn (xy)m = (x^m)(y^m) x^(-m) 1/x^m If someone got a certain number of X questions correct, and a certain percentage of Y questions correct, to find t...

A typical SAT has several word problems, covering... Almost every math topic for which you are responsible Word problems involving geometry can usually be solved just with arithmetic, but most of them... Require basic algebra To solve word problems algebraically, you must treat algebra as a... Foreign language and learn to translate "word for word" from English into algebra When translating into algebra... You use some letter (often x) to represent the unknown quantity you are trying ...

Positive + positive =Positive Positive + negative Use the sign of the larger value Negative + positive Use the sign of the larger value Positive times positive =Positive Positive times negative =Negative Negative times positive =Negative Negative times negative =Positive

Rate Of Change Formula Y2-Y1/X2-X1 Quadratic Formula X = -B ± √(B² - 4ac)/2a Exponential Growth And Decay Formula F(X)= F(0)(1+R)^T Complementary Angles Theorem If Two Sides Of Two Adjacent Acute Angles Are Perpendicular, Then The Angles Are Complementary. Formula Of A Circle (X-H)² + (Y-K)² = R² Exponential Growth Formula Y=A(1+R)^T Exponential Decay Formula Y=A(1-R)^T Radians To Degrees Πradians = 180 Degrees Sin2+Cos2 =1 Systems Of Equations Substitute Or El...

sin-cos identity: sinx = cos(90-x) sin-cos identity: cosx = sin(90-x) 90º, pi/2 (0,1) 180º pi radians 30º, pi/6 (√3/2, 1/2) 45º, pi/4 (√2/2, √2/2) 60º, pi/3 (1/2, √3/2) 30, 60, 90 triangle x, x√3, 2x 45, 45, 90 triangle x, x, x√2 Circumference 2(pi)r or (pi)D tangent identity: tanx= sinx/cosx the distance from a data set's largest point to its smallest point range the measure of how spread-out the set's data points are standard deviation ...

Area formula for a rectangle A=lw Area formula for a triangle A=1/2bh (height is from tip to base, altitude) Pythagorean Theorem a²+b²=c² Volume formula of a rectangular prism V = lwh Volume Formula of Cylinder V = π r² h Volume Formula of Sphere V = (4/3) π r^3 Volume Formula of Cone V = (1/3) π r² h (right angle from tip to base) (height is from tip to base) Volume Formula of a square pyramid V = (1/3) lwh (right angle from tip to base) (height is fro...