2) (9, 1), (3, 9) 2) A) C) 5 6. Use the vertical line test to determine whether the graph is the graph of a function. 4) 4)

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1 Test 2 Name (please print) Find the slope of the line that goes through the given points. 1) (-4, 2), (-3, 2) 1) A) 4 B) C) 0 D) undefined 2) (9, 1), (3, 9) 2) A) B) 4 3 C) 5 6 D) Determine whether the ordered pair is a solution of the system of linear equations. 3) (-3, 6), 4x = 18 - y 3x = 33-4y A) Yes B) No 3) Use the vertical line test to determine whether the graph is the graph of a function. 4) 4) A) function B) not a function Use the slope-intercept form of the linear equation to write the equation of the line with the given slope and y-intercept. 5) Slope 5; y-intercept 0, 1 5) A) y = x - 1 B) y = - 1 x + 1 C) y = 5x - 1 D) y = 5x Name the quadrant or axis in which the point lies. 6) (6, 0) 6) A) quadrant I B) quadrant II C) x-axis D) y-axis Plot the point. 1

2 7) (-2, -5) 7) A) B) C) D) Find an equation of the line. Write the equation using function notation. 8) Through (8, 3); parallel to 8x + 3y = 79 8) A) f(x) = x + 79 B) f(x) = x + 3 C) f(x) = 8 3 x D) f(x) = x

3 Find the domain and range. 9) {(10, -8), (10, -1), (3, -7), (1, 4), (11, 9)} 9) A) domain = {9, 4, -7, -1, -8}; range = {11, 11, 1, 3, 10} B) domain = {11, 1, 3, 10}; range = {9, 4, -7, -1, -8} C) domain = {11, 15, 1, 3, 10}; range = {9, 4, -7, -1, -8} D) domain = {11, -5, 1, 3, 10}; range = {9, 4, -7, -1, -8} Solve the system of equations. 10) 5x + 4y = 26 2x + 4y = 44 A) (-6, 14) B) (5, -14) C) (4, -14) D) 10) 11) 5x + 1y = 27 x = -2y A) (-6, -3) B) (6, 3) C) (6, -3) D) (-3, 6) 11) 12) 2x + 9y = x + 3y = 56 A) (-7, 7) B) (7, -7) C) (11, -11) D) (-3, 7) 12) 13) 7x - 6y = 2 4x - 7y = 6 A) ( , 34 ) 25 B) (34 25, 22 ) C) (- 25, - 22 ) D) (- 25, ) 13) 3

4 Graph the equation. 14) y = 5 14) A) B) C) D) 4

5 15) y = - 4x ) A) B) C) D) 5

6 16) x = -4 16) A) B) C) D) 6

7 Solve the system by graphing. 17) 2x + y = -6 x - 3y = ) A) (-4, 2) B) (2, 4) C) (2, -4) D) (-4, -2) 18) x + 4y = 4 5x - 7y = -7 18) A) (1, 1) B) (1, 0) C) (0, 0) D) (0, 1) Solve the problem. 19) Find the slope of a line perpendicular to the line f(x) = - 7 x ) 8 A) -8 B) 8 C) 8 7 D) ) The amount of water in a leaky bucket is given by the linear function y = 115-2x, where y is in ounces and x is in minutes. Find and interpret the slope and y-intercept of the linear equation. A) m = 115; The amount of water in the bucket increases 115 ounces every minute. b = 2; At x = 0, the amount of water in the bucket was 2 ounces. B) m = 2; The amount of water in the bucket increases 2 ounces every minute. b = 115; At x = 0 the amount of water in the bucket was 115 ounces. C) m = 115; The amount of water in the bucket decreases 115 ounces every minute. b = 2; At x = 0, the amount of water in the bucket was 2 ounces. D) m = -2; The amount of water in the bucket decreases 2 ounces every minute. b = 115; At x = 0, the amount of water in the bucket was 115 ounces. 20) 7

8 Given the cost function, C(x), and the revenue function, R(x), find the number of units x that must be sold to break even. 21) C(x) = 153x + 305,600 21) R(x) = 344x A) 1601 units B) 572 units C) 1602 units D) 1600 units The figure shows the graphs of the cost and revenue functions for a company that manufactures and sells binoculars. Use the information in the figure to answer the question. 22) What is the profit when 815 binoculars are produced? 22) A) $4760 B) $130 C) $1760 D) $ ) Use the revenue and cost functions to write the profit function from producing and selling x binoculars. A) P(x) = 4x B) P(x) = 2x C) P(x) = 4x D) P(x) = 2x ) Determine whether the lines are parallel, perpendicular, or neither. 24) -3x - 18y = 6 6x - y = 14 A) parallel B) perpendicular C) neither 24) Solve. 25) One number is 3 less than a second number. Twice the second number is 48 more than 5 times the first. Find the two numbers. A) 11 and 14 B) -15 and -12 C) -14 and -11 D) -13 and ) A certain aircraft can fly 1190 miles with the wind in 5 hours and travel the same distance against the wind in 7 hours. What is the speed of the wind? A) 34 mph B) 68 mph C) 51 mph D) 17 mph 27) A chemist needs 130 milliliters of a 31% solution but has only 17% and 43% solutions available. Find how many milliliters of each that should be mixed to get the desired solution. A) 65 ml of 17%; 65 ml of 43% B) 60 ml of 17%; 70 ml of 43% C) 70 ml of 17%; 60 ml of 43% D) 65 ml of 17%; 70 ml of 43% 25) 26) 27) 8

9 28) The altitude above sea level of an airplane just after taking off from an airport on a high plateau is given by the linear function h(t) = 1100t , where h(t) is in feet and t is the time in minutes since take-off. Find the altitude of the airplane after 6 minutes. A) 8717 feet B) 8917 feet C) 8817 feet D) 6600 feet 29) University Theater sold 493 tickets for a play. Tickets cost $23 per adult and $14 per senior citizen. If total receipts were $8270, how many senior citizen tickets were sold? A) 251 senior citizen tickets B) 341 senior citizen tickets C) 152 senior citizen tickets D) 242 senior citizen tickets 28) 29) Find the domain and the range of the relation. Then determine whether the relation is a function. 30) Input: Output: student advisor 30) Bob Ann Dave Ms. Lee Mr. Bar A) domain: {Ms. Lee, Mr. Bar} range: {Bob, Ann, Dave} function C) domain: {Bob, Ann, Dave} range: {Ms. Lee, Mr. Bar} not a function B) domain: {Ms. Lee, Mr. Bar} range: {Bob, Ann, Dave} not a function D) domain: {Bob, Ann, Dave} range: {Ms. Lee, Mr. Bar} function Find the indicated value. 31) Find f(0) when f(x) = 9x2-5x 31) A) 9 B) 4 C) -5 D) 0 Determine the coordinates of the indicated point on the graph. 32) L 32) A) (-4 1 2, -2) B) (4 1 2, -2) C) (-2, ) D) (2, ) Determine whether the ordered pair is a solution of the given equation. 33) 5x + 5y = -5; (-2, 1) 33) A) No B) Yes 9

10 Find an equation of the line. Write the equation in standard form. 34) Through (1, 7) and (0, -2) 34) A) 2x - y = -9 B) 9x - y = 2 C) 9x + y = -2 D) 9x + y = 2 35) Through (-4, -3); perpendicular to x = 5 35) A) x = -3 B) y = -4 C) y = -3 D) x = -4 Find the domain and the range of the relation. Use the vertical line test to determine whether the graph is the graph of a function. 36) 36) A) domain: (-, ) range: (-, -3] [3, ) not a function C) domain: (-, -3] [3, ) range: (-, ) function B) domain: (-, -3] [3, ) range: (-, ) not a function D) domain: (-, ) range: (-, -3] [3, ) function 10

11 Graph the function by finding x- and y-intercepts. 37) 2x - 6y = 12 37) A) B) C) D) Fill in the blank with one of the words or phrases listed below. matrix consistent system of equations solution inconsistent square 38) A(n) system of equations has at no solution. 38) A) inconsistent B) matrix C) consistent D) square 11

12 Find the slope of the line. 39) -3y + 4x = ) A) 9 B) 4 3 C) D) ) 3y - 9 = -3 40) A) 2 B) 0 C) 1 3 D) undefined 12

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