College Algebra Graphs and Models 6e Marvin Bittinger, Judith Beecher, David Ellenbogen, Judith Penna
( all Chapter, Answer at the end of each Chapter)
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MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Solve and graph the solution set. 1) 1) 20 x + 35 > 5 ( 3 x + 6 ) A) {x x < - 1 } or ( - Q , - 1 ) B) {x x > - 1 } or ( - 1 , Q ) C) {x x > 20 } or ( 20 , Q ) D) {x x < 20 } or ( - Q , 20 ) Write equations of the horizontal and the vertical lines that pass through the given point. 2) 2) ( - 2 , - 4 ) A) horizontal: y = - 4 x + 0; vertical: x = - 2 y + 0 B) horizontal: y = - 1 2 x + 0; vertical: - 1 2 y = x + 0 C) horizontal: y = - 4 ; vertical: x = - 2 D) horizontal: x = - 2 ; vertical; y = - 4 1 Chapter 1 2 / 4
Use the given graph to find the x - intercept and the zero of the function. 3) 3) A) (0, 0); 0 B) ( - 4 , 0); - 4 C) ( - 6 , 0); - 6 D) ( - 4 , - 6 ); - 4 Is the following correspondence a function? 4) 4) 9 10 - 19 - 12 A) Yes B) No Determine whether the graph is the graph of a function. 5) 5) A) Yes B) No Determine whether the pair of lines is parallel, perpendicular, or neither. 6) 6) 12 x + 4 y = 16 21 x + 7 y = 31 A) Parallel B) Perpendicular C) Neither Write a slope - intercept equation for a line with the given characteristics. 7) m = - 6 7 , passes through ( 3 , 5 ) 7) A) y = 6 7 x - 53 7 B) y = - 6 7 x + 53 7 C) y = - 6 7 x - 53 7 D) y = - 7 6 x - 53 6 2 3 / 4
Solve the problem. 8) 8) The function H described by H(x) = 2.75x + 71.48 can be used to estimate the height, in centimeters, of a woman whose humerus (the bone from the elbow to the shoulder) is x cm long. Estimate the height of a woman whose humerus is 30.32 cm long. A) 104.55 cm B) 43.91 cm C) 154.86 cm D) 11.9 cm 9) 9) A real estate agent's commission rate is 15 %. He receives a commission of $32,205 on the sale of a home. How much did the home sell for? A) $ 182,495 B) $ 214,700 C) $ 246,905 D) $ 37,036 Write a slope - intercept equation for a line with the given characteristics. 10) m = - 9 7 , passes through ( 1 , 8 ) 10) A) y = - 9 7 x + 65 7 B) y = - 7 9 x - 65 9 C) y = - 9 7 x - 65 7 D) y = 9 7 x - 65 7 Use substitution to determine whether the given ordered pair is a solution of the given equation. 11) 11) ( 2 , 2 ); 3 x + 2 y = 10 A) Yes B) No Plot the two points given by the ordered pairs. 12) 12) A( - 2 , 0), B(0, 2 ) A) B) 3
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