Math 1111 Revi

Math 1111 Review 2 Sections 1.4-1.7 Ralston

Name _______________________________________________________

You may use your pink formula sheet and a TI-83 or equivalent calculator. Sharing of calculators is not permitted

For question 1, find the slope of the line.

1. (4, -3), ( -1, - 7)

For questions 2-5, find the slope intercept form of the equation of the specified line.

2. m = and passes through (- 2, 6)

3. Passes through (2, -2) and (-4, 7 )

4. Parallel to y = 2x + 4 and passes through (0, 3)

5. Perpendicular to x – 3y = 8 and passes through (2, - 4)

For question 6, consider the following:

6. Suppose that a computer system purchased new in 2001 for $1200 is worth $500 in 2004. Assuming linear depreciation—that is, assuming the value of the computer system and its age are related linearly. Write an equation that relates the value of the computer system to the year (in slope intercept form)

For questions 7-9, use the following:

In 1990, your salary was $20,000 and in 1999, your salary was $29,000. If your salary follows a linear growth, write a linear equation in terms of your salary, y, based upon the year, x.

7. What is the slope of this model?

8. Write a LINEAR EQUATION in slope-intercept form that gives the salary, y, in terms of the year, x.

9. Predict your salary in the year 2010.

For questions 10-14, use parent graphs and transformations to graph the following functions. State the following: parent graph, vertical translation, horizontal translation, reflection on x-axis, reflection on y-axis, and vertical stretch or shrink. Graph the parent function and graph the given “child” function on the same grid.

10. f(x) = - (x + 2)² + 4

11. g(x) =