Online Practice Test 1a for MATH 150.

This practice test covers material in Chapters 1 and 2 of the book: Precalculus, Mathematics for Calculus, 4th Edition.

This online test was created by Brent M. Dingle. You will notice if you select the wrong answer you are notified immediately (and perhaps given a hint). Assuming everything is working (i.e. your browser supports JavaScript and has it enabled) you should have been notified of a time limit to complete this test and you should see the words: "JavaScript Enabled" immediately below.

Test Questions:

1. For what values of x is the expression (6x - x2)1/2 defined as a real number?

    x >= 6
    x <= 6
    0 <= x <= 6
    -6 <= x <= 6
    x <= -6 or x >= 6

2. Simplify (-16 + 4x)/(4 - x).

    -4 - x
    -4
    -1/4
    4x
    -4x

3. Solve the inequality: x < 2 / (x - 1)

    x < -1
    1 < x < 2
    -1 < x < 1 OR x > 2
    -1 < x < 2
    x < -1 OR 1 < x < 2

4. What is the slope of the line through the points (-7, 4) and (5, -12)?

    -3/4
    3/4
    -4/3
    4/3
    it's a vertical line

5. What is the slope of the line given by: 3x - 4y + 38 = 0 ?

    -4/3
    -3/4
    3/4
    4/3
    it's a vertical line

6. The equation of the line through the points (-8, 6) and (2, 5) is:

    5.2x - 0.1
    -0.1x - 5.2
    5.8x + 0.1
    -0.1x + 5.2
    0.1x + 5.8

7. According to Boyle's Law if a sample of gas is compressed at a constant temperature then the pressure of the gas is inversely proportional to the volume of the gas. Given that the pressure of a sample of air is 50 kiloPascals and the sample occupies 0.106 cubic meters at a temperature of 25 degrees Celsius, find the constant of proportionality, k, such that P = k / V, where P is pressure and V is volume.

    471.7
    0.00212
    5.3
    47.17
    0.53

8. What is the center of the circle x2 + y2 + 2x - 6y + 7 = 0?

    (-1, -3)
    (1, 3)
    (1, -3)
    (-1, 3)
    (3, 1)

9. Solve the equation: 5 - 3x = 8x - 20, for x.

    4
    -4
    -3/7
    34/20
    25/11

10. What is the y-intercept of the line: 3y - 2x - 1 = 0 ?

    1
    1/2
    1/3
    2
    3

11. Solve the inequality: -4 <= 5 - 3x < 17, for x

    (-3, 4]
    [-3, 4)
    [-4, 3)
    (-4, 3)
    (-4, 3]

12. A circle with center (-2, 4) which passes through the point (-3, 5) would have a radius of what (to the nearest tenth)?

    1.4
    2.0
    3.1
    23.4
    106.0

13. Bob leaves Lala Land at 8:30 A.M. and drives to Boredom at 60 miles per hour. Sue leaves Boredom at 8:30 A.M. driving to Lala Land at 55 miles per hour. At what time do they pass each other on the road? There is only one road between the cities which is 168 miles long and the cities are in the same time zone.

    9:30 A.M.
    10:00 A.M.
    10:30 A.M.
    11:00 A.M.
    11:15 A.M.

14. What type of symmetry (symmetries) if any does the equation: x2 + y = 16 possess?

    symmetric about the y-axis
    symmetric about the x-axis
    symmetric about the origin
    symmetric about the y-axis AND the x-axis
    it has no symmetry

15. Does the equation: x = y3 define y as a function of x?

    yes
    no

16. A falling object's distance above the ground (in feet) is given by the equation 3500 - 16*t2, where t is time in seconds. What is the object's AVERAGE SPEED between 2 seconds and 3 seconds?

    -48 ft/sec
    -80 ft/sec
    -112 ft/sec
    144 ft/sec
    3396 ft/sec

17. Is the function f(x) = x5 + x, an even, odd or neither?

    even
    odd
    neither

18. The altitude of a ball (in feet) when it is thrown upwards with a speed of 40 ft/sec is given by: y = 40t - 16t2. What is the maximum height reached by the ball (to the nearest foot)?

    21 feet
    13 feet
    44 feet
    32 feet
    25 feet