Quarter 2 Test Review

Quarter 2 Test Review

Algebra 2

Miss Sedlock

Simplify Square Roots, Topic 2-7

• Page 27, Unit 2 Packet

• Take out groups based on the index of the root (If the index is blank it is a square root)

• Try to break down variables and numbers based on the index. Example: if you are trying to break down a square root, look at the number and try to find if it is divisible by any perfect squares

• Chunk variables together based on the index. Example: if you have an index of 2 break down your variables to have an exponent of 2, take the group out of the radical, and count it as one term

Imaginary Expressions, Topic 2-8 and 2-9

• Page 28 and 29 in Unit 2 Packet

• i= square root of -1

• Negative under radical, move it outside the radical and it becomes i

• Operations with i, type into calculator. i can be found when clicking on the pi button located by the letter H

• When subtracting 2 binomials with i, make sure to distribute the negative

Fractional Exponents, Topic 1-8

• Page 36, Unit 1 Packet

•  $x^{\frac{m}{n}}=\ ^n\sqrt{x^m}$  

• If terms are in parentheses and raised to an exponent, distribute the exponent to all terms in the parentheses as the first step in simplification 

Quadratic Formula, Topic 2-10 A/B

• Page 32, Unit 2 Packet

•  $x=\frac{-b\ \pm\sqrt{b^2-4ac}}{2a}$  

• Get equation equal to zero

• Identify a, b, and c terms

• Plug into the quadratic formula

• Simplify (Make sure radical is simplified!)

End Behavior, Topic 3-4

• Page 5, Unit 3 Packet

• Even power functions end behavior goes in the same direction

• Odd power functions the end behavior goes in the opposite direction

• Negate the function the end behavior flips

• Degree= highest power of the function

• Check the end behavior in your calculator if given the equation!

Average Rate of Change, Topic 1-4

• Page 13, Unit 1 Packet

•  $m=\frac{y_2-y_1}{x_2-x_1}$  

• You need two points to plug into the formula

• You can find the points on a given table, or graph the equation in your calculator and pull up the table

Function Inverses, Topic 1-7

• Page 29, Unit 1

• Switch x and y

• To find the inverse function: switch x and y and then solve for y

Remainder Theorem, Topic 3-8

• Page 14, Unit 3

• Short cut for polynomial long division to find the remainder if given equation and 'a' value

• Plug in 'a' value into equation for x. Simplify for remainder value

Factoring, Topic 3-1, 3-2, 3-3

• Pages 1-3, Unit 3

• Grouping: Take GCF of first two terms, GCF of second two terms, combine the GCFs in parenthesis, rewrite the matching factor

• Quartic Trinomial: Factor just like a trinomial, but use x² instead of x

• Quartic DOTS: Watch for double DOTS

Polynomial Long Division, Topic 3-7

• Pages 11-13, Unit 3

• Remember to check for missing terms and make sure the terms are in descending order before you start

• When subtracting, remember you are subtracting the whole quantity. So, distribute the negative

• Work from left to right trying to eliminate variables in descending order

Radical Equations, Topic 2-11

• Page 39, Unit 2

• Isolate the radical

• Undo the radical by raising each side of the equation to the power equal to the root

• Solve for x

• Check for extraneous roots!!!!!!!

Function Operations, Topic 1-2

• Page 5, Unit 1

• When subtracting distribute the negative

• When multiplying, double distribute or use box method

Finding an Equation from a Graph, Topic 3-6

• Page 8, Unit 3

• Turn roots into factors by negating the root

• Put factors into factored form, set equal to f(x) or y