Name: _____________________________________________ Period: ______

Algebra I - Chapter 4 Review

Write an equation in slope-intercept form of the line that has the given slope and y-intercept.

1. slope: –2; y-intercept: 0 Write an equation in slope-intercept form of the line that passes through the given point and has the given slope m.

2. (2, –3); m = 3 3. (–1, 0); m = 2

Write an equation in slope-intercept form of the line shown.

4. Write an equation in standard form of the line that passes through the given point and has the given slope m or that passes through the given points.

5. (–4, 3), m = !!

6. (–2, –1), (2, –6)

Graph the equation.

7. y – 2 = 23

(x – 4)

Write an equation in slope-intercept form for a linear function f that has the given values.

8. f(–3) = 2 and f(1) = 0

9. Write an equation of the line in slope-intercept form that passes through the

point (4, 7) and is (a) parallel to and (b) perpendicular to the line y = 12

x – 1.

In Exercises 10-13, use the table that shows the number of calories in grams of fat.

Fat (g) 31 39 19 34 43 39 35

Calories 580 680 410 590 660 640 570

10. Make a scatter plot of the data.

11. Describe the correlation.

12. Draw a line of fit for the data. 13. Use the line of fit from Exercise 12 to predict the number of calories in a

hamburger that contains 28 grams of fat.

Find the missing coefficient in the equation of the line that passes through the given point.

14. Ax + y = 3; (2, –5) Find the value of k so that the three points lie on the same line. Write the equation of the line in point-slope form.

15. (1, –2), (–2, 4), (4, k)

Write an equation in the given form of the line shown.

16. Standard form

The correlation is positive and shows that the more grams of fat in food the more calories that it contains.

By using the scatter plot in number 10, I would predict that the number of calories in a hamburger with 28 g of fat would be about 525 calories.

17. Slope-intercept form

18. The freezing point of water is 0°C or 32°F. The boiling point of water is 100°C or 212°F. Develop the formula that relates the number of degrees in Fahrenheit to the number of degrees in Celsius.

In Exercises 19-23, use the graph that shows gym membership costs.

19. How much was the initial membership fee?

20. What is the cost per month?

21. Write an equation in slope-intercept form that relates the total cost (in dollars) to the number of months of the gym membership.

22. Find the cost of a gym membership for one year.

The cost per month is $35.

The initial membership fee appears to be about $30.

The cost of a gym membership for one year is about $450.

In problems 23 & 24, find the zero of the function.

23. f(x) = x – 8 24. f(x) = 3x + 9