MAC 1140 TEST 1 REVIEW
1 Simplify the expression:
2 Simplify the expression:
3 Simplify the expression:
assuming x and y may be negative.
4 Express as a polynomial :
(7 x + 5) (5 x2 + 10 x - 3)
5 Factor the polynomial :
36 y 6 - 289 x2
6 Factor the polynomial :
16 x3 + 8 x2 + x
7 Simplify the expression
8 Rationalize the denominator.
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MAC 1140 TEST 1 REVIEW
9 Rationalize the denominator
HINT: Multiply both the numerator and denominator by
10 Express as a quotient
11 Simplify the expression
12 Solve by using the quadratic formula.
13 Solve the equation
Hint: Raise both sides to the least common multiple of 4 and 5.
14 Solve the inequality :
2 x + 1 < 4 x - 11
Express the answer in terms of intervals, if possible.
15 Solve the inequality :
Express the answer in terms of intervals, if possible.
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MAC 1140 TEST 1 REVIEW
16 Solve the inequality :
Express the answer in terms of intervals, if possible.
17 Solve the inequality
Express the answer in terms of intervals, if possible.
18 Solve the inequality
Express the answer in terms of intervals, if possible.
19 Solve the inequality
Express the answer in terms of intervals, if possible.
20 Solve the inequality
Express the answer in terms of intervals, if possible.
21 Solve the inequality
Express the answer in terms of intervals, if possible.
22 Find the domain of f.
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MAC 1140 TEST 1 REVIEW
23 Find the domain of f.
24 Simplify the difference quotient
if
f ( x ) = x2 + 2
25 Triangle ABC is inscribed in a semicircle of diameter a. If x denotes the length of side
AC, express the length y of side BC as a function of x. (Hint: Angle ACB is a right
angle.)
a=7
26 Find the standard equation of the parabola shown in the figure.
27 Find the standard equation of a parabola that has a vertical axis and satisfies the
conditions: x-intercepts -5 and 7, highest point has y-coordinate 6.
28 Let
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Find the domain of:
MAC 1140 TEST 1 REVIEW
29 Find the inverse function of
30 Find the inverse function of
31 Express the function
in the form a(x - h) 2 + k.
32 Find the standard equation of a parabola that has a vertex V(0, -8) and passes through
point (5, 42).
33 Let
Find the domain of:
fg
34 Let
35 Find the inverse function of
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Find the domain of:
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MAC 1140 TEST 1 REVIEW
ANSWER KEY
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MAC 1140 TEST 1 REVIEW