Math 125 Practice Test #2 (Chapter 6 and Chapter 7)

Math 125 Practice Test #2 (Chapter 6 and Chapter 7)

1. Find the slope of the line that goes through: and

2. Graph the following equation by finding the x and y-intercepts:

3. Find the slope and the y-intercept of the line:

4. Find the slope of the lines and graph them.

a) b) c) d)

5. Find the slope and equation of the given lines.
Write the equation of the line is slope-intercept form.

a) b)

6. Determine if the given lines are parallel, perpendicular or neither.

7. Write the equation of the line in standard form.

a) Find the equation of the line that has slope of and y intercept of .

b) Find the equation of the line that has point and is perpendicular

to the line .

c) Find the equation of the line through and

8. Find the domain and range of the given relation, and indicate whether it is a

function or not.

9. For the graph given below,

a) determine whether the graph is the graph of a function.
b) determine the domain and range of the function. Use interval notation.

10. If , find

a) b) c)

11. Solve:

a) b)

12. Solve using matrices:

a) b)

For the given problems, you need to set up a system, and solve it.

13. The larger of two supplementary angles is three times the smaller, decreased by

twelve. Find the measure of each angle.

14. A riverboat can head 340 miles upriver in 19 hours, but the return trip takes only

14 hours. Find the current of the river and find the speed of the riverboat in still
water to the nearest tenth of a mile.

15. A 30% solution of fertilizer is to be mixed with a 60% solution of fertilizer to get

150 gallons of a 50% solution. How many gallons of the 30% and how many

gallons of the 60% are needed?

16. A jar contains 80 coins, all of which are either quarters or nickels. The total value

of the coins is $14.60. How many of each type of coin are there?

Answer key is on the next page.

Answer Key:

1.

2. x-intercept ; y-intercept

3. ; y-intercept

4. a) slope is undefined

4. b)

4. c)

4. d)

5. a) ; b) ;

6. Neither

7. a) b) c)

8. Domain =

Range =

Yes, it is a function because each x has exactly one y (or each input has exactly one

output).

9. a) Yes, the graph is that of a function since it passes the vertical line test.

9. b) Domain =

Range =

10. a) b) c)

11. a) b) No solution

12. a) b)

13. The smaller angle measures , and the larger angle measures

14. The current of the river is 3.2 mph, and the speed of the riverboat in still water
is 21.1 mph.

15. 50 gallons of 30%, and 100 gallons of 60%.

16. 53 quarters and 27 nickels.