Math 190 Readiness Quiz
Name:
Instructions: Show all work. Calculators are not permited.
√
1. (1 point) If f (x) = x − 2 x + 3, write f (4 + h) in simplified form.
2. (1 point) Simplify (2x + 3)2 .
3. (1 point) Simplify
3x2 + 4
x
4. (1 point) Simplify x2 (x−3 + x1/2 )
1
5. (1 point) Given cos θ = , find the exact values of sin θ and tan θ.
2
6. (1 point) Find the equation of the line passing through the points (−1, 4) and (2, 6).
7. (1 point) Find the domain of g(x) =
8. (1 point) Rewrite ln
x−3
y4
√
x+1
as the sum of logarithms, in its most simplified form.
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(
1 − 2x if x ≤ 0
9. (1 point) Sketch the graph of f (x) =
, and label four points on your
2x + 2 if x > 0
graph.
x2
x+1
10. (1 point) Simplify 2
−
x −4 x+2
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