Honors Algebra 2: Algebraic Skills Review
UNIT 1 – BASIC EQUATIONS, INEQUALITIES, and FUNCTIONS
Solve for Exact Solutions: Basic Equation or Inequality.
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2.
3. for y.
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6.
7. for n
For #10 – 16, Use functions:
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16.
UNIT 2 - RADICAL EQUATIONS: Find EXACT SOLUTIONS and check extraneous.
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UNIT 3: Quadratics
SOLVING QUADRATIC EQUATIONS AND INEQUALITIES
· Completing the Square, Factoring, Quadratic Formula
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8) 2x2 – x – 13 < x2 + 2x – 3
9) x2 + 2x – 35 < 0
10) x2 – 16 > 0
11) 2x2 + 2x > 0
12) –x2 + 15 > 2x
UNIT 4: U – Substitution, Synthetic Division, Rational Equations
Solve equations by U-Substitution
1) 2m4 = 3m2 + 5
2) 3m + m1/2 – 2 = 0
3) y5 – 3y3 + 2y = 0
4) x1/2 – 6x1/4 + 8 = 0
SYNTHETIC DIVISION - Find all zeros to the polynomial given the initial factor:
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SOLVE RATIONAL EQUATIONS: Find all EXACT solutions
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UNIT 5 - EXPONENTIAL or LOGARITHMIC equation/inequality:
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UNIT 6 - SYSTEMS
Use SUBSTITUTION or ELIMINATION TO SOLVE SYSTEMS
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UNIT 7 - TRIG RATIOS (Triangle or Unit Circle):
Find the exact value (UNIT CIRCLE ).
1. 2. 3.
4. 5. 6.
Find the value of the other 5 trig. functions.
9. ; lies in IV.
10. and
11. and
12. and
Complete the triangles for the all missing sides and angles (Round to two decimals)