Colorado State University Global Campus Algebra Exercises

Find the slope of the line through the points (−1,−7) and (0,−9). Enter your answer as a simplified improper fraction, if necessary. Do not include “m=” in your answer.

Find the equation of a line that contains the points (1,5) and (−3,−3). (W
rite the equation in standard form.)

Solve the following equation for x.

Find the equation of the line with slope 5 that goes through the point (4,2). Answer using slope-intercept form.

Find the equation of the line passing through the points (−2,−7) and (−2,−8).

−2x+3=9

Your answer should take the form x=a or y=a, whichever is appropriate.

6. Find the slope of the following line.

y=−6x+5

7. Solve the following equation for x.

−5−7x−14x=−11+8x

8. A line goes through the points (2,−4) and (3,−1). Determine the equation of the line.

Enter your answer in slope-intercept form y=mx+b.

9. Casey deposited $1,450 in a bank account with an interest rate of 4%. How much simple interest was earned in two years?

10. Recall that the perimeter of a rectangle is P=2(W+L
)
, where W is the width and L is the length. The length of a rectangle is 20
feet more than the width. If the perimeter is 64
feet, then what is the length of the rectangle, in feet? Do not type the units in your answer.

11. Solve the following equation for x.

−11−5x−7x=−8+10x

12. Find the equation of the line through (−8,3) that is parallel to the line y=−6x+4.

Enter your answer using slope-intercept form.

13. Find the equation of the line through (7,−9) that is perpendicular to the line y=−x5−9.

Enter your answer using slope-intercept form.

14. Graph the equation y=−x3+4 by plotting points.

15. Solve the following inequality.

−5x−1≤−4x+5

Give your answer in interval notation. For example, if you found x<20, you would enter (−∞,20).