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Intro to Algebra 2 Final Review
Polynomials
Question: Find the sum:
(4x2 - 5x + 3) + (7x2 +4x +7)
Answer:
11x2 - x + 10
Question: Simplify:
(17x2 + 8x - 12) - (3x2 + 4x - 8)
Answer:
14x2 + 4x - 4
Question: Simplify:
(4x + 5)(3x - 8)
Answer:
12x2 - 17x - 40
Question: FACTOR:
7x2 - 49x
Answer:
7x(x - 7)
Question: FACTOR:
x2 + x - 56
Answer:
(x + 8)(x - 7)
Irrational Expressions
Question: Simplify:
Answer:
Question: Simplify:
Answer:
Question: Simplify:
Answer:
Question: Simplify:
Answer:
Question: Rationalize the denominator:
Answer:
Rational Expressions
Question: State where this expression is undefined.
Answer:
x = 7
Question: Simplify:
Answer:
Question: Simplify:
Answer:
Question: Combine the terms:
Answer:
Question: Simplify:
Answer:
Solving Equations
Question: Solve for all values of x:
7(x + 4) + 1 = 5 - 2(x + 6)
Answer:
x = - 4
Question: Solve for x:
x2 +3x - 18 = 0
Answer:
x = - 6, x = 3
Question: Solve for x:
| 4x - 5 | - 2 = 13
Answer:
x = 5, x = - 2.5
Question: Solve the equation for x:
√(2x+16) = x + 4
Answer:
x = 0
Question: Solve for x:
x/3+2/5=3
Answer:
x = 7.8
Functions
Question: Is the following a function?
(2, 3) (4, 7) (5, 5) (2, 0)
Answer:
NO
Question: Is the following a function?
Answer:
YES
Question: Find the value of f(-3) when f(x) = 7x - 2
Answer:
- 23
Question:
Find the domain of f(x) = x2 + 8x + 15
Answer:
(-∞,∞)
Question: Find the range of f(x) = | x + 6| - 2
Answer:
[-2, ∞)