Math1210 Weekly Assignment 1
Spring, 2016
(Algebra/Trig Review)
instructor:
Uid number:
name:
Instructions: Please show all of your work as partial credit will be given where appropriate,
and there may be no credit given for problems where there is no work shown. All answers
should be completely simplified, unless otherwise stated. No calculators or electronics of
any kind are allowed. (Total of 65 points possible.)
1. Factor each expression completely
(a) (4 points) 2x2 − 50
Answer:
(b) (5 points) x3 + 125
Answer:
(c) (4 points) 6x2 + 7x − 20
Answer:
(d) (4 points) x3 − 3x + 2
Answer:
2. Simplify these expressions, writing your answer in exponent form with only positive
exponents.
2 −2 −2
xw
(a) (5 points)
4−1 x5 w
Answer:
v
u 1√
u y 2 yp
4
p
(b) (5 points) t
3
p2
Answer:
3. Evaluate the following, without a calculator!
2π
(a) (2 points) sin( ) =
3
−π
)=
(b) (2 points) sin(
6
5π
(c) (2 points) sec( ) =
4
4. Solve the following trigonometric equations, giving all solutions for θ in 0 ≤ θ < 2π.
(a) (6 points) sin θ + cos2 θ = 1
Answer:
Page 2
θ
− sin θ = 0
(b) (6 points) sin
2
Answer:
5. Given the functions f (x) =
√
x + 3, g(x) =
5
x
+ 1 and h(x) =
(a) (5 points) g −1 (x)
Answer:
(b) (5 points) f (w − 1)
Answer:
Page 3
√1 ,
x
find the following.
(c) (5 points) f (g(h(x)))
Answer:
(d) (5 points) g(g(x))
Answer:
Page 4