ALGEBRA 2 MASTERY 1

Topics covered and examples: reteach

LINEAR EQUATIONS Solve linear equation.

LINEAR INEQUALITIES &INTERVAL NOTATION Solve the inequality; express your

answer in interval notation. (Use ( ) and [ ] )

SYSTEM OF LINEAR INEQUALITIES Graph the system. Determine the

solution by shading the solution region.

QUADRATIC FACTORING

QUADRATIC SOLVING

TRANSLATING EQUATIONS Add to the output

Add to the input

Multiplying by the output

Multiplying by the input

Vertical flip (over x-axis) Horizontal flip (over y-axis)

TRANSLATING EQUATIONS Use the following functions to perform

the following transformations: f(x)= 2x+3 g(x)= -3x^2 h(x)= 4

f(x)+7 f(x-1) 2*g(x) h(x-1) f(3x+5) g(x)-8

+ - X POLYNOMIALS Perform the operation indicated. Be careful not to multiply by habit, but

rather look at the + or – signs carefully

SYNTHETIC DIVISION Perform synthetic division Use remainder & factor theorems to test

whether a given value is true or false

FACTOR VS. ZERO/SOLUTION/ROOT Factor (x-k) zero/solution x=k

Set a factor=0 and solve for x to find the solution

Factor represents a piece of the original function,

zero represents where the function is crossing the x-axis (at y=0)

CONJUGATE ZEROS If (a + bi) is a zero, then (a – bi) must be

a zero.

Be able to find conjugates and test if a complex zero/factor is true.

RATIONAL ZEROS THEOREM Compile a list of all possible rational

zeros.

Which rational zeros are missing from the list of P/Q?

FULLY FACTOR Fully factor the following polynomial into

its most reduced form.

FIND ALL ZEROS Find all real zeros of the polynomial.

POLYNOMIAL PARENT FUNCTIONS- MATCHING Linear positive

Linear negative

Quadratic positive

Quadratic negative

Polynomial even positive

Polynomial even negative

Polynomial odd positive

Polynomial odd negative