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1 Page 1 of 17 Name: Which graph does not represent a function of x? What is the slope of the graph of the equation y = 2x -? 2 2x If the point ( 4, k) is on the graph of the equation 3x + y = 8, find the value of k
2 Page 2 of 17 In which graph does line L have a negative slope? 5. The line whose equation is y = 4x + 2 has a y-intercept whose coordinates are (0, 0) (4, 0) (0, 2) (0, 4) 6. What is the slope of the line with the equation y = x + 4? x 4 4x
3 Page 3 of Which equation represents the line whose slope is and whose y-intercept is 5? y = x + 5 y = 5x + y = x - 5 y = 5x - 8. What is the slope of line l shown in the accompanying diagram? - -
4 Page 4 of Which is an equation of the line that passes through the point (1, 4) and has a slope of 3? y = 3x + 4 y = x + 4 y = 3x 1 y = 3x What is the y-intercept of the line whose equation is 3y = 6x + 12? What is the slope of the line whose equation is 3x + y = 4? 3x 3-3 4
5 Page 5 of 17 1 What is the slope of line l in the accompanying diagram? The accompanying figure shows the graph of the equation x = 5. What is the slope of the line x = 5? undefined
6 Page 6 of 17 1 What is the slope of the line whose equation is 2y = 5x+ 4? If x and y are defined as indicated by the accompanying table, which equation correctly represents the relationship between x and y? y = x + 2 y = 2x + 2 y = 2x + 3 y = 2x What is the slope of the linear equation 5y - 10x = -15?
7 Page 7 of Write the equation for the line shown in the accompanying graph. y = x +
8 Page 8 of 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? 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 a slope of and a y-intercept of -6 a slope of - and a y-intercept of 6 a slope of 3 and a y-intercept of -2 a slope of -3 and a y-intercept of If a line is horizontal, its slope is 1 undefined 0 negative 2 The graph of the equation x + 3y = 6 intersects the y-axis at the point whose coordinates are (0,2) (0,18) (0,6) (6,0)
9 Page 9 of 17 2 Which equation is equivalent to 3x+ 4y = 15? y = 15-3x y = 3x 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? 3x 2y = 6 3x + 2y = 16 2x 3y = 4 2x + 3y = 7
10 Page 10 of 17 2 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?
11 Page 11 of 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 = feet y = feet
12 Page 12 of 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. {1,3,5} {7,9} {1,2,3,4,5,7,9} {2,4} 28. Given A = {1,3,5,7,9} and B = {1,2,3,4,5}. Find A B. {1,3,5} {7,9} {1,2,3,4,5,7,9} {2,4}
13 Page 13 of Which of the following relations is a function? {(0, 6), (5, 6), (1, -3), (0, 4)} {(1, 6), (2, 6), (4, 8), (-7, -2)} {(9, 0), (8, -4), (8, 6), (-3, 0)} {(-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. {(10, 0), (10, 2), (10, 9)}; the relation is not a function {(0, 10), (2, 10), (9, 10)}; the relation is not a function {(0, 10), (2, 10), (9, 10)}; the relation is a function 3 Which interval describes the solution set shown in the number line below? (2,5) {x 2 x 5} (2,5] [2,5]
14 Page 14 of 17 3 Which statement is true about the relation shown on the graph below? 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. 3 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? {4, 6, 8} {4, 6, 8, 20} {2, 4, 6, 8} {2, 4, 6, 8, 20}
15 Page 15 of 17 3 Which graph represents a function? 35. Which interval notation represents the set of all numbers greater than or equal to 5 and less than 12? [5, 12) (5, 12) (5, 12] [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, 4, 7, 8} {2, 3, 5, 6} {1, 2, 3, 4, 5, 6, 7, 8}
16 Page 16 of Which set-builder notation describes { 3, 2, 1, 0, 1, 2}? {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? Linear Absolute value Exponential Quadratic 39. The graph below is the graph of what type of function? Linear Absolute value Exponential Quadratic 40. The graph below is represented best by which of the equations?
17 Page 17 of 17
y-intercept remains constant?
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