Unit 1 - Intro into Functions

{1,2,3,4,5} - Terms of a sequence

Slope = y2-y1 / x2-x1

Arithmetic Sequences has a common difference(pattern) between them (d1-d2)

The Explicit Formula is used to find any term of a sequence (an= a1+(n-1)d

The Recursive Formula is used to find a previous term not listed (an= an-1 +d)

Sequences as Linear Equations (each input must have one output to be a function)

Slope-intercept form- y=mx+b (-mx = A, +y = B, B = C)

Standard form = Ax + By = c

Unit 2 - Inequalities

Tip - When y is greater than, the upper area is true. When y is less than, the lower area is true.

Dashed Line = < > , Solid Line = < >

Use test points to find true area.

When converting from Standard Form, the inequality symbol changes value when divided by a negative.

The solution to a inequality system is where the true values overlap.

Unit 3 - Rational and Irrational Numbers

Rational Numbers -

• Whole Numbers

• Intergers

• Terminating Decimals

• Perfect Squares

• Repeating Decimals

Irrational Numbers -

• Pi

• Non-repeating/Non-terminating

• Not a Perfect Square

Placing Irrational Square roots on a number line - Example: 7 is in between the square roots of 4 and 9(which are perfect squares), so it would be 2.6 on the number line.

Radicals(numbers with a square root above them) are in their simplest form when -

• They are primed(no perfect squares can go into them)

• No fractions under the radical

• No radicals in the denominator

You can simplify a radical by using prime factorization with perfect squares. (Even exponents - take half the value of the exponent outside the radical[leave nothing in the radical], Odd exponents - subtract one the from the exponent and leave it in the radical, divide the now even exponent by 2 and take it outside the radical)

Unit 4 - Polynomials