College Algebra Unit I Practice Exam Worksheet With Answer Key Page 4
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12Solve the problem.
20) For a culture of 70,000 bacteria of a certain strain, the number of bacteria N that will survive x
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hours is modeled by the formula N = 7000 100 - x. After how many hours will 63,000 bacteria
survive?
A) 37 hr
B) 81 hr
C) 91 hr
D) 19 hr
21) A balloon is secured to rope that is staked to the ground. A breeze blows the balloon so that the
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rope is taut while the balloon is directly above a flag pole that is 50 feet from where the rope is
staked down. Find the altitude of the balloon if the rope is 90 feet long. Leave your answer in
simplified radical form.
A) 4 35 ft
B) 2 10 ft
C) 20 14 ft
D) 10 106 ft
Use completing the square to find the constant that should be added to the binomial to create a perfect square trinomial.
22) x 2 - 14x+_____
22)
A) -49
B) 49
C) 7
D) 196
Solve the equation, and check all proposed solutions.
23) x -
3x - 2 = 4
23)
A) {1, 2}
B) {2, 9}
C) {9}
D) {-1}
Solve the radical equation, and check all proposed solutions.
24)
6x + 55 = x
24)
A)
B) - 11
C) {11}
D) {-5, 11}
25)
2x + 10 = x + 6
25)
4
A) {-4}
B) {8}
C) {2, 8}
D) -4,
3
26)
x + 6 +
2 - x = 4
26)
A) { 31, -2}
B) {-2}
C) {2, -2}
D) {0}
27) x 3/2 = 8
27)
3
A) {16 2}
B) {4}
C) {2}
D)
2
Find the axis of symmetry of the parabola defined by the given quadratic function.
28) f(x) = 4 - (x + 2) 2
28)
A) x = 4
B) x = 2
C) x = -4
D) x = -2
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