Honors Algebra 2 Unit 1 Test
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. [pic]
3. [pic]for y.
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6. [pic]
7. [pic] for n
For #10 – 16, Use functions:
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10. [pic]
11. [pic]
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16. [pic]
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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4) [pic]
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 ).
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4. [pic] 5. [pic] 6. [pic]
Find the value of the other 5 trig. functions.
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10. [pic]and [pic]
11. [pic]and [pic]
12. [pic]and [pic]
Complete the triangles for the all missing sides and angles (Round to two decimals)
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A
Z
10
d
F
D
e
E
50º
y
8
c
7
35 º
X
10
Y
a
C
B
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