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Algebra Chapter 6 Practice Test Multiple Choice Identify the choice that best completes the statement or answers the question. Tell whether the lines for each pair of equations are parallel, perpendicular, or neither. ____ 7 1. y = x + 6 6 12x + 14y = –12 a. perpendicular b. parallel c. neither The rate of change is constant in the table. Find the rate of change. Explain what the rate of change means for the situation. 2. Time (hours) Distance (miles) 4 224 6 336 8 448 560 10 Find the slope of the line and y intercept of the line.. y 4. 5 4 3 2 1 –5 –4 –3 –2 –1 –1 –2 –3 –4 –5 1 2 3 4 5 x Find the slope of the line that passes through the pair of points. 5. (3, 6), (8, –3) 6. (–2.1, –3.7), (2.9, 16.3) Find the slope and y-intercept of the line. 7. 1 y= x–4 4 8. 16x + 2y = –98 Find the x- and y-intercept of the line. Then graph the lines on the grids. 9. 2x-y=5 10. -4x + 3y = -12 11. Target sells Honey Crisp apples for $2.49 a pound and Hawaiian pineapples for $3.25 a pound. Write an equation in standard form for the weights of Honey Crisp apples h and Hawaiian pineapples p that a customer could buy with $20. Graph the equation. 12. y = 5 14. x = -2 y –5 –4 –3 –2 y 5 5 4 4 3 3 2 2 1 1 –1 –1 1 2 3 4 5 x –5 –4 –3 –2 –1 –1 –2 –2 –3 –3 –4 –4 –5 –5 1 15. Use the slope and y-intercept to graph the equation. 1 y= x–3 4 y 5 4 3 2 1 –5 –4 –3 –2 –1 –1 1 2 3 4 5 x –2 –3 –4 –5 Write an equation of a line with the given slope and y-intercept. 16. m = –1, b = –10 2 3 4 5 x Write an equation in slope-intercept form for the lines described in #16, 17. 17. A line that passes through the point (–10, 2) that has a slope of .5. 18. A line that passes through the point (-4,-9) and (1, -2). Write an equation for the line that is perpendicular to the given line and that passes through the given point. 3 19. y = x – 7; (4, –7 2 20. Write an equation in slope-intercept form to represent each situation. Fossil hopes to enroll 60 ninth grade students this year in accelerated math. After that they hope to increase that enrollment by 4 students/year over the next four years. ________________________________________________ Alana asks for a flat $5 donation plus $2.00 per mile to participate in a walk-a-thon. ________________________________________________