Time and Date Stamps (logged): 17:12:20 06-10-2020 °¶Ÿ°±Ÿ±¯¯µŸ°¯Ÿ±¯±¯ College Algebra Test Chapter 2

College Algebra Test Chapter 2

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Test Problems:

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Problem #1:

Decide whether or not the points are the vertices of a right triangle. (-9, 0), (-3, 2), (3, -5)

 

 

 

 

Problem #2:

Identify the points in the graph for the ordered pairs. (-3, 4), (2, 0), (4, -5)

 

 

 

 

 

Problem #3:

Graph the function. y = 5x^2 - 6

 

 

 

 

Problem #4:

List the intercepts for the equation.

 

y = x ^ (3) - 125

 

 

 

 

Problem #5:

Determine whether the function is symmetric with respect to the y-axis, symmetric with respect to the x-axis, symmetric with respect to the origin, or none of these.

 

y = -3x3 + 6x

 

 

 

 

Problem #6:

Find the slope of the line that goes through the pair of points (-3, -4) and (4, 9)

 

 

 

 

Problem #7:

Write an equation in standard form for a line satisfying the given conditions.

 

Through (5, 0) and (0, 2)

 

 

 

 

Problem #8:

Write an equation for the line through (7, -2) parallel to 5x - 6y = 5

 

 

 

 

Problem #9:

Give the equation for a circle centered at (-7, 10), radius sqrt(7)

 

 

 

 

Problem #10:

Write the slope-intercept form of the equation of the line passing through the point (2, 6) and parallel to the line y = -4x - 1.

 

 

 

 

Problem #11:

Sketch a scatter diagram. Unless the diagram is inconsistent with a linear model, sketch your estimated best-fit lines and use two points on your line to make a reasonable estimate of the slope. Estimate also the y-intercept and give the equation of your line. If the diagram is not consistent with a linear model state why.<

 

x values 26 51 74 96 120

 

y values 25 52 73 99 124 .

 

 

 

 

Problem #12:

Sketch a scatter diagram. Sketch your estimated best-fit lines and use two points on your line to make a reasonable estimate of the slope. Estimate also the y-intercept and give the equation of your line. If the diagram is not consistent with a linear model state why.

 

If you have a graphing utility you may also give as part of your solution the equation of the actual best-fit line.<

 

x values 14 28 42 56 70

 

y values 38 1240 28298 542605 14726692 .

 

 

 

 

Problem #13:

Sketch a scatter diagram. Unless the diagram is inconsistent with a linear model, sketch your estimated best-fit lines and use two points on your line to make a reasonable estimate of the slope. Estimate also the y-intercept and give the equation of your line. If the diagram is not consistent with a linear model state why.

 

x values 10 20 30 40 50

 

y values 5 10 16 21 27.

 

 

 

 

Problem #14:

In simplified form, the period of vibration P for a pendulum varies directly as the square root of its length L. If P is 2.5 sec when L is 25 in, what is the period when the length is 144 in?

 

 

 

 

Problem #15:

Write a general formula to describe the variation:

 

A varies inversely with x ^ (2); A = 3 when x = 2