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College Algebra

1) Solve the following equation. Determine whether the equation is an identity, conditional equation, or an inconsistent equation: 7(x - 4) = x + 2

{-7 ,conditional}

{7, Identity}

{5, conditional}

{2, inconsistent equation}

2) Solve the following equation. Determine whether the equation is an identity, conditional equation, or an inconsistent equation: 7x + 13 = 2(2x - 5) + 3x + 23

Ø; conditional equation

Ø; Inconsistent equation

Ø; identity equation

{-1}; Inconsistent equation

3) Determine the value of A so that the line whose equation is Ax + y - 2 = 0 is perpendicular to the line containing the points (1, -3) and (-2, 4).

– 3/7

5/9

–2/5

3/8

4) Find the horizontal asymptote as x --> 8 and then describe what this means in practical terms. F(x) = 150x + 120/0.05x + 1; the number of bass, f(x), after x months in a lake that was stocked with 120 bass.

the number of bass, f(x), after y months in a lake that was stocked with 130 bass

the number of bass, f(x), after x months in a lake that was stocked with 120 bass

the number of bass, f(x), after x months in a lake that was stocked with 140 bass

the number of bass, f(x), after x months in a lake that was stocked with 150 bass

Solve the following logarithmic equation. Be sure to reject any value of x that is not in the domain of the original logarithmic expressions. Give the exact answer. Then, where necessary, use a calculator to obtain a decimal approximation, to two decimal places, for the solution:

{16/2}

{62/3}

{9/3}

{11/5}

Solve the following system of equations using matrices:

{(t, t 1, t)}

{(t, t 0, t)}

{(t, t - 2, t)}

{(t, t - 1, t)}

For the following ellipses determine location of its foci.

foci at (0, 2 + v11), (0, 2 - v11)

foci at (0, 5 + v21), (0, 5 - v21)

foci at (0, 3 + v25), (0, 3 - v25)

foci at (0, 1 + v36), (0, 1 - v36)

Statistics

1) Is Drug B superior to the currently used Drug A in treating pancreatitis?

Observational

Case-controlled observational

Double blind experiment

Single blind experiment

6) Salesmen for the ABC Plastics Company drive an average of 240 miles per day with a standard deviation of 36 miles. If samples of 25 daily mileages are taken, what is the standard deviation of the distribution of sample means?

6.8

7.0

7.1

7.2

8) In one city, there are 1,780 5-year old children of whom 556 live with one parent only. Among a sample of 615 of the 5-year old children from this city, 226 live with one parent only. Find the population proportion of 5-year olds who live with only one parent.

0.35

556

0.37

0.31

9) A manufacturer wishes to test the claim that one of its pancake mixes has a mean weight that does not equal 24 ounces as advertised. Determine the conclusion of the hypothesis test assuming that the results of the sample lead to rejection of the null hypothesis.

Conclusion: Support the claim that the mean is greater than 24 ounces.

Conclusion: Support the claim that the mean is not equal to 24 ounces.

Conclusion: Support the claim that the mean is equal to 24 ounces.

Conclusion: Support the claim that the mean is less than 24 ounces.

10) A 95% confidence interval for the mean of a normal population is found to be 17.6 < µ < 23.6. What is the margin of error?

2.7