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Name Class Date Chapter 5 Chapter Test Form G Do you know HOW? 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 5 3. (–3, –1), (–1, 5) 4. ,5 , ,2 4 4 Graph each equation. 5. x + 2y = 6 6. 1 y = x 3 2 7. y – 2 = –2(x – 3) Write each equation in slope-intercept form. 8. 6x + 9y = 27 9. 7x = 3y – 12 10. 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 this situation. Find the x- and y-intercepts of the graph of each equation. 11. 6x + 12y = 24 12. –5x + 3y = –24 Write an equation in point-slope form for the line that has the given slope m and that passes through the given point. 13. 1 m = ;(0, 2) 14. m = –2; (0, 1) 4 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) 28 Prentice Hall Gold Algebra 1 • Teaching Resources Copyright © by Pearson Education, Inc., or its affiliates. All Rights Reserved. 83 For review purposes only. Not for sale or resale.
Name Class Date Chapter 5 Chapter Test (continued) Form G Write an equation in slope-intercept form for the line that passes through the given point and is parallel to the given line. 17. 1 ( 3,5); y = x+ 4 18. (–7, 3); x = 4 2 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 = 3 21. The debate club needs $240.00 to attend a debate tournament. The club decides to sell cups of iced tea and lemonade at baseball games. Iced tea will be sold for $.50 per cup and lemonade will be sold for $.80 per cup. a. Write an equation to find how many cups of each beverage must be sold to raise $240.00. b. Graph the equation. What are the x- and y-intercepts? c. Open-Ended Use your graph to find three different combinations of cups of iced tea sold and cups of lemonade sold that will raise $240.00. Write an equation for each translation of y = | x |. 22. 3 units up 23. left 2 units Do you UNDERSTAND? 24. Writing For a direct variation, describe how the constant of variation affects whether y increases or decreases as x increases. 25. Reasoning For what value of k are the graphs of y = 3x + 4 and 2y = kx + 9 parallel? 26. Writing Explain how to determine whether two lines are parallel or perpendicular. Include all cases. Prentice Hall Gold Algebra 1 • Teaching Resources Copyright © by Pearson Education, Inc., or its affiliates. All Rights Reserved. 84 For review purposes only. Not for sale or resale. 29
Page 1 and 2: Teacher Resource Sampler Algebra 1
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