Algebra - Holiday POW#15 Page 1 of 17 Name: ____________________________________ 1. Which graph does not represent a function of x? 1. 3. 2. 4. -------------- 2. What is the slope of the graph of the equation y = 2x - ? 1. 2. 2 3. 2x 4. -------------- 3. If the point (−4, k) is on the graph of the equation 3x + y = −8, find the value of k. 1. −20 2. 0 3. −4 4. 4 -------------- http://castlelearning.com/review/teacher/AssignmentPrinting.aspx 12/19/2011 Algebra - Holiday POW#15 Page 2 of 17 4. In which graph does line L have a negative slope? 1. 3. 2. 4. -------------- 5. The line whose equation is y = 4x + 2 has a y-intercept whose coordinates are 1. (0, 0) 2. (0, 2) 3. (4, 0) 4. (0, 4) -------------- 6. What is the slope of the line with the equation y = x + 4? 1. 2. x 3. 4 4. 4x -------------- http://castlelearning.com/review/teacher/AssignmentPrinting.aspx 12/19/2011 Algebra - Holiday POW#15 Page 3 of 17 7. Which equation represents the line whose slope is 1. y = and whose y-intercept is 5? x+5 2. y = 5x + 3. y = x-5 4. y = 5x -------------- 8. What is the slope of line l shown in the accompanying diagram? 1. 2. 3. 4. -------------- http://castlelearning.com/review/teacher/AssignmentPrinting.aspx 12/19/2011 Algebra - Holiday POW#15 Page 4 of 17 9. Which is an equation of the line that passes through the point (1, 4) and has a slope of 3? 1. y = 3x + 4 2. y = 3. 4. x+4 y = 3x 1 y = 3x + 1 -------------- 10. What is the y-intercept of the line whose equation is 3y = 6x + 12? 1. 1 2. 2 3. 3 4. 4 -------------- 11. What is the slope of the line whose equation is 3x + y = 4? 1. 3x 2. -3 3. 3 4. 4 -------------- http://castlelearning.com/review/teacher/AssignmentPrinting.aspx 12/19/2011 Algebra - Holiday POW#15 Page 5 of 17 12. What is the slope of line l in the accompanying diagram? 1. 2. 3. 4. -------------- 13. The accompanying figure shows the graph of the equation x = 5. What is the slope of the line x = 5? 1. 5 2. -5 3. 0 4. undefined -------------- http://castlelearning.com/review/teacher/AssignmentPrinting.aspx 12/19/2011 Algebra - Holiday POW#15 Page 6 of 17 14. What is the slope of the line whose equation is 2y = 5x+ 4? 1. 5 2. 2 3. 4. -------------- 15. If x and y are defined as indicated by the accompanying table, which equation correctly represents the relationship between x and y? 1. 2. 3. 4. y=x+2 y = 2x + 2 y = 2x + 3 y = 2x - 3 -------------- 16. What is the slope of the linear equation 5y - 10x = -15? 1. 10 2. 2 3. -10 4. -15 -------------- http://castlelearning.com/review/teacher/AssignmentPrinting.aspx 12/19/2011 Algebra - Holiday POW#15 Page 7 of 17 17. Write the equation for the line shown in the accompanying graph. y = x+ -------------- http://castlelearning.com/review/teacher/AssignmentPrinting.aspx 12/19/2011 Algebra - Holiday POW#15 Page 8 of 17 18. John left his home and walked 3 blocks to his school, as shown in the accompanying graph. What is one possible interpretation of the section of the graph from point B to point C? 1. 2. 3. 4. John arrived at school and stayed throughout the day. John waited before crossing a busy street. John returned home to get his mathematics homework. John reached the top of a hill and began walking on level ground. -------------- 19. The line 3x - 2y = 12 has 1. a slope of and a y-intercept of -6 2. a slope of - and a y-intercept of 6 3. a slope of 3 and a y-intercept of -2 4. a slope of -3 and a y-intercept of -6 -------------- 20. If a line is horizontal, its slope is 1. 1 3. undefined 2. 0 4. negative -------------- 21. The graph of the equation x + 3y = 6 intersects the y-axis at the point whose coordinates are 1. (0,2) 3. (0,18) 2. (0,6) 4. (6,0) -------------- http://castlelearning.com/review/teacher/AssignmentPrinting.aspx 12/19/2011 Algebra - Holiday POW#15 Page 9 of 17 22. Which equation is equivalent to 3x+ 4y = 15? 1. 2. 3. y = 15 - 3x 4. y = 3x - 15 -------------- 23. The graph below represents a highway on a scale drawing. The city of Charlotte plans to construct a second road that is perpendicular to this highway. What is an equation of this second road that is perpendicular to the highway? 1. 2. 3. 4. 3x – 2y = 6 3x + 2y = 16 2x – 3y = 4 2x + 3y = 7 -------------- http://castlelearning.com/review/teacher/AssignmentPrinting.aspx 12/19/2011 Algebra - Holiday POW#15 Page 10 of 17 24. Adalberto is saving money to purchase a car. He deposits money into his savings account each month. The graph below represents how his savings account will grow each month. If a line were to be drawn through the points, what would be the slope of that line? 1. −1000 2. 800 3. 1000 4. 1600 -------------- http://castlelearning.com/review/teacher/AssignmentPrinting.aspx 12/19/2011 Algebra - Holiday POW#15 Page 11 of 17 25. In the accompanying diagram, x represents the length of a ladder that is leaning against a wall of a building, and y represents the distance from the foot of the ladder to the base of the wall. The ladder makes a 60° angle with the ground and reaches a point on the wall 17 feet above the ground. Find the number of feet in x and y. Round your answers to the nearest tenth of a foot. x = y= feet feet -------------- http://castlelearning.com/review/teacher/AssignmentPrinting.aspx 12/19/2011 Algebra - Holiday POW#15 Page 12 of 17 26. As seen in the accompanying diagram, a person can travel from New York City to Buffalo by going north 170 miles to Albany and then west 280 miles to Buffalo. a If an engineer wants to design a highway to connect New York City directly to Buffalo, at what angle, x, would she need to build the highway? Find the angle to the nearest degree. ° b To the nearest mile, how many miles would be saved by traveling directly from New York City to Buffalo rather than by traveling first to Albany and then to Buffalo? miles -------------- 27. Given A = {1,3,5,7,9} and B = {1,2,3,4,5}. Find A ∩ B. 1. {1,3,5} 3. {7,9} 2. {1,2,3,4,5,7,9} 4. {2,4} -------------- 28. Given A = {1,3,5,7,9} and B = {1,2,3,4,5}. Find A 1. {1,3,5} 3. {7,9} 2. {1,2,3,4,5,7,9} 4. {2,4} B. -------------- http://castlelearning.com/review/teacher/AssignmentPrinting.aspx 12/19/2011 Algebra - Holiday POW#15 Page 13 of 17 29. Which of the following relations is a function? 1. {(0, 6), (5, 6), (1, -3), (0, 4)} 2. {(1, 6), (2, 6), (4, 8), (-7, -2)} 3. {(9, 0), (8, -4), (8, 6), (-3, 0)} 4. {(-11, 2), (2, -11), (9,-12), (2, -1)} -------------- 30. The diagram below represents a relation. List the ordered pairs in the relation and tell whether or not the relation is also a function. 1. {(10, 0), (10, 2), (10, 9)}; the relation is not a function 2. {(0, 10), (2, 10), (9, 10)}; the relation is not a function 3. {(0, 10), (2, 10), (9, 10)}; the relation is a function -------------- 31. Which interval describes the solution set shown in the number line below? 1. 2. 3. 4. (2,5) {x|2 ≤ x ≤ 5} (2,5] [2,5] -------------- http://castlelearning.com/review/teacher/AssignmentPrinting.aspx 12/19/2011 Algebra - Holiday POW#15 Page 14 of 17 32. Which statement is true about the relation shown on the graph below? 1. 2. 3. 4. It is a function because there exists one x-coordinate for each y-coordinate. It is a function because there exists one y-coordinate for each x-coordinate. It is not a function because there are multiple y-values for a given x-value. It is not a function because there are multiple x-values for a given y-value. -------------- 33. Given: A = {All even integers from 2 to 20, inclusive} B = {10, 12, 14, 16, 18} What is the complement of set B within the universe of set A? 1. {4, 6, 8} 3. {4, 6, 8, 20} 2. {2, 4, 6, 8} 4. {2, 4, 6, 8, 20} -------------- http://castlelearning.com/review/teacher/AssignmentPrinting.aspx 12/19/2011 Algebra - Holiday POW#15 Page 15 of 17 34. Which graph represents a function? 1. 3. 2. 4. -------------- 35. Which interval notation represents the set of all numbers greater than or equal to 5 and less than 12? 1. [5, 12) 2. (5, 12] 3. (5, 12) 4. [5, 12] -------------- 36. Given: U = {1, 2, 3, 4, 5, 6, 7, 8} B = {2, 3, 5, 6} Set B is a subset of set U. What is the complement of set B? 1. { } 3. {1, 4, 7, 8} 2. {2, 3, 5, 6} 4. {1, 2, 3, 4, 5, 6, 7, 8} -------------- http://castlelearning.com/review/teacher/AssignmentPrinting.aspx 12/19/2011 Algebra - Holiday POW#15 Page 16 of 17 37. Which set-builder notation describes {−3, −2, −1, 0, 1, 2}? 1. 2. 3. 4. {x | −3 ≤ x < 2, where x is an integer} {x | −3 < x ≤ 2, where x is an integer} {x | −3 < x < 2, where x is an integer} {x | −3 ≤ x ≤ 2, where x is an integer} -------------- 38. The graph below is the graph of what type of function? 1. Linear 2. Exponential 3. Absolute value 4. Quadratic -------------- 39. The graph below is the graph of what type of function? 1. Linear 2. Exponential 3. Absolute value 4. Quadratic -------------- 40. The graph below is represented best by which of the equations? http://castlelearning.com/review/teacher/AssignmentPrinting.aspx 12/19/2011 Algebra - Holiday POW#15 Page 17 of 17 1. 2. 3. 4. -------------- http://castlelearning.com/review/teacher/AssignmentPrinting.aspx 12/19/2011
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