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Name_____________________________ Period__________ Date________ Unit Three PRACTICE Test – Honors Algebra 1. The amount of money that a newspaper pays for an article varies directly as the number of words in the article. If the magazine pays $420.00 for a 600 word article, first solve for the constant of variation k, then write the direct variation equation. How much will be paid for an article of 900 words? k = __________ Equation: ____________________ Amount paid: ________ 2. The weight of an object on the moon, M, varies directly as the weight of the same object on the Jupiter, J. A 200 pound object on the moon would weigh 1300 pounds on Jupiter. First solve for the constant of variation k, then write the direct variation equation. How much would an object weigh on Jupiter if it were 45 pounds on the moon? k = __________ Equation: ____________________ Amount paid: ________ 3. Write equations in both point-slope and slope-intercept form of the line that that passes 2 through the point (-6, 5) and is parallel to the line whose equation is y = 3x - 6? Point-slope: __________________ Slope-intercept: __________________ 4. What is an equation of the line that passes through the point (6,1) and is perpendicular to the line 2 whose equation is y = x + 3? 3 Point-slope: __________________ Slope-intercept: __________________ 5. Tom and Sarah are graphing the following two lines on a graph. 2𝑥 + 3𝑦 = 12 3 𝑦= 𝑥+6 2 Tom thinks the two lines are perpendicular and Sarah thinks the two lines are parallel. Who is correct? A. Sarah is correct because the slope of the two lines are the same. C. Tom is correct because the slope of the two lines are the same. B. Sarah is correct because the slope of the two lines are the opposite reciprocal. D. Tom is correct because the slope of the two lines are the opposite reciprocal. 6. The graph below describes the speed of a vehicle over a period of time. Find the following rate of changes: A. 0 to 4 secs ____________ B. 10 to 13 secs ____________ C. 20 to 22 secs ____________ 7. The student council is selling scented candles to earn money for the Sadie Hawkins Dance. The graph below shows the relationship between the number sold and the amount of money earned. Scented Candle Sales What does the x-intercept represent? ________________________________________________ ________________________________________________ What does the y-intercept represent? ________________________________________________ ________________________________________________ What does the slope represent? ________________________________________________ 8. Each table below shows a set of ordered pairs. Which table contains points that lie on a line whose slope is ⅗ ? A. C. x y x y 3 3 3 5 6 8 8 8 -3 -7 2 2 B. D. x y x y 9 -10 3 5 6 -5 8 8 3 0 -2 2 9. Given the table, answer the following: Slope-intercept form: ________________________ Standard form: _____________________________ Point-slope form: ___________________________ Slope: _________ Zero: __________ Y-intercept: _________ 10. Which of the following equations are represented by the graph? I. II. III. IV. 1 y = 2x + 5 2x − y = -5 y = (x − 2)(x − 3) y + 7 = −2(x− 6) A. I and II C. II and III B. II and IV D. I and IV x y 1 -9 2 -8 3 -7 4 -6 11. A line is drawn through points (-9, -12 ) and (-6, -6). What is the x-coordinate of the xintercept of the resulting function? 12. The table below represents the number of students who attended the Sadie Hawkins Dance during the years listed. Year Students Attended Dance 2000 350 2003 650 2006 950 2012 1550 Based on the data shown, what would be the best prediction of the number of students that attended the homecoming dance in 2008? 2010? 2008: ____________ 2010: ____________ 13. Amy is training to run a marathon. In week 1, she ran 3 miles. In week 11, she ran 23 miles. Which of the following represents this linear relationship if x is the training week number, and y is the number of miles she ran? A. B. y = 2x + 1 C. x y 2 5 4 9 6 13 8 17 D. All of the above 14. Which of the following does not describe the graph below? A. The x-intercept is (-4, 0) C. As the x value increases by 4, the y value increases by 3. B. The y-intercept (0, 3) D. The change in the y values is 3 when the change in the x values is 4. 15. What is the equation of a line that is perpendicular to the line shown below and goes through the point (2, 5)? 16. Which graph best represents the function y = 1.75x + 5? 17. Write the linear equation in slope-intercept form for the graph below: 18. Find the slope, zero and y-intercept of the line that passes through the points (3, 5) and (3, -2). Slope: _________ Zero: __________ Y-intercept: ___________ 19. Write the linear equation represents the line that passes through the point (3,-4) and is parallel to the x-axis? Graph the line on the given coordinate plane. 20. Write the linear equation of the line that passes through the point ( 2,-4) and is perpendicular to the y-axis? Graph the line on the given coordinate plane. 21. Given the table below, determine the explicit rule, the missing value, slope, zero, y-intercept and the equation of the line. 56 -27 64 -24 Explicit Rule Slope 72 -21 80 -18 528 ? Missing Value Zero y-intercept Equation of the line 22. If y varies directly with x, and x = 12 , when y = - 50, find y when x = -48. 5 23. Given the information below, find the following then graph the line. Point (-4, 5) Slope - 1 2 Zero Equations Point-slope form Slope-intercept form Standard form y-intercept