Chapter 1



Chapter 1

Solving compound inequalities

Solving absolute value equations and inequalities

Remember to flip sign when multiplying or dividing by a negative!

Solving for a variable.

Chapter 2

Know how to graph lines in general (Vertical and Horizontal lines also)

Knowing how to find equations of lines will help with graph problems where you need to match a graph to an equation.

Quick graphs will also help with graphing problems (graphing using intercepts: x-intercept is y = 0, y-intercept is x=0)

Graphing absolute value functions

Graph piecewise functions

Evaluate piecewise functions

Chapter 3

Solve systems of equations graphically

Understand the meaning of infinitely many solutions, one solution, and no solutions graphically.

Solve systems of equations algebraically

Substitution method versus Linear Combination or Elimination method (making opposites)

Graphing a system of linear inequalities

Solve 3 variables

Chapter 5

Graph parabolas

Vertex form

Standard form

Intercept form

Know how to find all vertices

Know which way it opens, the max or min, and how to find max or min

How to find x-intercepts (y = 0) and y-intercept (x = 0)

Know axis of symmetry (x = “x-value of the vertex”)

Complex numbers

Operations

Add, subtract

Multiply – Remember i2 = -1

Divide – Multiply top and bottom by conjugate of the denominator

Plotting – Real part is like x, imaginary part is like y.

Absolute value

Remember, i is NOT a part of that formula, you should NOT have a negative number inside the root as an answer

Solving quadratics

Factor – COMMON TERM FIRST

Square root both sides – REMEMBER PLUS\MINUS

Completing the square, (b/2)2

Quadratic formula

Know what the discriminant means. Intercepts versus solutions

Remember, roots, solutions, x-interecept, factors, they all pretty much mean try to solve it, though they have different meanings in a sense.

Applications, using the dropped ball and thrown ball formula

Simplify by dividing by a number if possible.

If it’s a dropped ball, it’s root both sides most likely

If it’s a thrown object, quadratic formula is most likely (though it may factor)

Chapter 6

Simplify exponent expressions, properties

Know all exponent rules.

Remember, 2x-1 power is (2/x), NOT (1/2x) That mistake is still being made

Also (3/x-1) = 3x, NOT (x/3)

Know all exponent rules.

Look at Pg 327: 48-51

Graphing

END BEHAVIOR AND DEGREES

Polynomial Operations

Add, subtract, multiply

Patterns for multiplication

Division, synthetic versus long

Need to know what the remainder means

If the remainder is zero, what that means for what you got, factors wise, synthetic substitution wise

Solving\Simplifying polynomial equations

Solving

Factoring

COMMON TERM

x-factor, x-box, grouping

Factoring by grouping if you have four things

Synthetic division and rational root test

PLACE HOLDERS!!!

Quadratic Formula

Square rooting both sides

Simplify

Given a factor, or a f(k) = 0, or a solution, how to break things down using synthetic division. Also know what f(k) = 0 means

Understand what find zeros, all solutions, real solutions, x-intercept, factors, and what it means (pretty much synthetic, break things down until you have an x2, then solve)

Chapter 7

Remember how to rationalize and simplify with fractional exponents

Not as crazy for test, but review all basic problems for sure

Know how to simplify roots

Know when you add exponents (same base) and when to multiply (different bases)

Function operations

Add, subtract, multiply, divide

COMPOSITE FUNCTIONS ALSO

KNOW HOW TO FIND DOMAIN!!!!

How to find inverse, how the inverse is represented graphically

Solving Functions

Raising or rooting both sides to the correct power

CHECK EXTRANEOUS SOLUTIONS

Don’t stress for final, but need to know generally:

Linear Programming

Graphing roots and cubes

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