Name
Class
Date
Chapter 5 Test Review
Form G
Tell whether each statement is true or false. Explain.
1. A rate of change must be negative.
2. The rate of change for a vertical line is zero.
Find the slope of the line that passes through each pair of points.
3. (−3, −1), (−1, 5) 4. (-7, 4), (-5, 0)
Graph each equation.
5. x + 2y = 6 6. 7. y – 2 = –2(x –3)
Find the slope of the line that passes through each pair of points.
8. (−6, 5), (−1, 5) 9. (−3, 8), (−3, 5)
Write each equation in slope-intercept form.
10. 6x + 9y = 27 11.7x = 3y − 12
12. In 2005, a Caribbean nation produced 0.7 million tons of cane sugar. Annual production was projected to decrease by 0.05 million tons each year for the
next five years. Write a linear function that models the situation starting in 2005.
Write an equation in slope-intercept form for the line that has the given slope m and that passes through the given point.
13. 14. m = −2; (0, 1)
Write an equation in slope-intercept form for the line that passes through the given points.
15. (2, 3), (1, 5) 16. (5, −2), ( −16, 4)
Write an equation in slope-intercept form for the line that passes through the given point and is parallel to the given line.
17. (-3, 5); 3x – 2y = − 7 18. ( −7, 3); y – 2 = 3(x + 6)
Write an equation in slope-intercept form for the line that passes through the given point and is perpendicular to the given line.
19. (5, −1); y = 4x − 7 20. (4, −2); y + 9 = 4/3(x – 1)
21. Hector has a $5 off coupon at Brenda’s Bagels. Bagels cost $8.99 per dozen. Write an equation that models the total amount of money y Hector owes if he buys x dozens of bagels.
Suppose y varies directly with x. Write a direct variation equation that relates x and y. Then find the value of y when x = 3.
22. y = 2 when x = 8 23. y = 10 when x = 5
Write an equation in point-slope form for the line through the given point with the given slope.
24. (4, 6); m = –5 25. (3, –1); m = 8 26. (2, 5), (8, 8)