eQuizShow
Pre-calculus Final Review
Algebra/Geometry Review
Question: FACTOR
2x3 + 192 - 128x - 3x2
Answer:
(2x -3)(x + 8)(x - 8)
Question: Factor:
64x3 - 1
Answer:
(4x - 1)(16x2 + 4x + 1)
Question: SIMPLIFY:
2x2 - 3x - 20
2x3 - 32x
Answer:
2x + 5_
2x(x + 4)
Question: Solve for x:
√(2x - 5) = x - 4
Answer:
x = 7
Question: Find the radius of the circle with equation
x2 + y2 + 4x - 12y - 9 = 0
Answer:
r = 7
Functions
Question: Given f(x) = |3x + 5| and g(x) = x2 + 4x, find f(g(x)).
Answer:
f(g(x)) = |3x2 + 12x + 5|
Question:
Find the inverse of h(x) = x3 + 7
Answer:
h-1(x) = ∛(x - 7)
Question: Find the domain
f(x) = x + 6
x2 - 16
Answer:
(-∞,-4)U(-4,4)U(4,∞)
Question: Describe the transformation for the function
f(x) = - 2(x - 4)3 + 2
Answer:
4 units to the right, reflect over x-axis,
vertical stretch of 2 and shift up 2 units
Question: Find the intervals of increasing for the function (round to nearest hundredth)
f(x) = x3 + 2x2 - 6x - 12
Answer:
(-∞,-2.23) U (.90,∞)
Logs
Question: Write the following as a log equation:
30 = 3x
Answer:
log3 30 = x
Question: Solve for x:
2x - 3 = 32x + 5
Answer:
x = - 7
Question: Solve for x:
log4(x - 2) = 3
Answer:
x = 66
Question: Solve for x to the nearest integer:
1200=350e.03x
Answer:
x = 41
Question: Solve for x:
log(x + 6) + log(x + 2) = log(24 + 3x - x2)
Answer:
x = 1.5
Trigonometry
Question: In triangle ABC, side a = 13, side b = 9 and m<A = 62 degrees.
Find the measure of angle C to the nearest degree.
Answer:
80 degrees
Question: Find the exact value:
tan 120o
Answer:
- √(3)
Question: Solve for all values of x where 0 ≤ x < 1800
2sin2θ + 3 = 7sinθ
Answer:
θ = 150o,30o
Question:
Given cosx = 3/5, find the exact value of cos2x.
Answer:
- 7 /25
Question: Convert to polar coordinates. (simplest radical form)
(-2, 2)
Answer:
(2√2, 135o) or (-2√2, 315o)
Wild
Question:
Simplify: -13i + 14i15
Answer:
- 27i
Question: Find the vertical asymptote(s) for
r(x) = x + 4
x2 - 16
Answer:
x = 4
Question: Is this function odd, even or neither?
f(x) = x3 + 2x2 + 4x
Answer:
NEITHER
Question: DAILY DOUBLE!!!!!!!!!!!!!!
Find all zeros for the function
P(x) = x3 + 5x2 + 7x + 2
Answer:
x = -2, -3±√5
2
Question: Find the polynomial equation of degree 3 with zeros
3i, -2
Answer:
P(x) = x3 + 2x2 + 9x + 18