SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question. Provide an appropriate response. 1 When using the x - intercept method of graphical solution for a linear equation that has infinitely many solutions, what

SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question. Provide an appropriate response. 1) When using the x - intercept method of graphical solution for a linear equation that has infinitely many solutions, what would be the appearance of the graphical display? 1) 2) When using the intersection - of - graphs method of graphical solution, explain the significance of the x value at the bottom of the graphing calculator display. 2) 3) When using the intersection - of - graphs method of graphical solution, explain the significance of the y value at the bottom of the graphing calculator display. 3) 4) When using the intersection - of - graphs method of graphical solution, explain the significance of obtaining only a single line in an appropriate viewing window. 4) 5) Given the linear functions Y 1 = x and Y 2 = 2x, name the regions where Y 1 > Y 2 , Y 1 = Y 2 , and Y 1 < Y 2 . 5) 6) When using the x - intercept method of graphical solution for a linear equation that has no solutions, what would be the appearance of the graphical display? 6) 7) Given the linear functions Y 1 = ax, Y 2 = - ax, and Y 3 = bx with a > b, give the relationship between the functions at x = 0, x > 0, and x < 0. 7) 8) Explain how the equality - 9 x + 4 x - 10 = - 5 x - 10 is supported by the graphs Y 1 = - 9 x + 4 x - 10 and Y 2 = - 5 x - 10 in a standard viewing window 8) 9) Explain why the rule that the product of the slopes of perpendicular lines equals - 1 does not apply when one of the lines is horizontal. 9) 10) Show that the points P 1 (2, 4), P 2 (5, 2), and P 3 (7, 5) are the vertices of a right triangle. 10) 1 Chapter 1 A Graphical Approach to College Algebra 6e John Hornsby Margaret Lial Gary Rockswold ( All Chapters, Original , ) Answers At The End Of Each Chapter 1 / 4

MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Tell whether the relation is a function. 11) 11) A) Function B) Not a function 12) x - 6 - 6 1 4 7 y 5 1 3 6 - 4 12) A) Function B) Not a function Refer to the graph of the linear function defined by y = f(x) or the graph of the linear functions defined by y 1 = f(x) and y 2 = g(x) to solve the equation or inequality. 13) f(x) K 0 13) A) ( - Q , - 6] B) [ - 6, Q ) C) [3 , Q ) D) ( - Q , 3] Name the possible quadrants in which the point (x, y) can lie if the condition is true. 14) yx < 0 14) A) I or II B) II or III C) III or IV D) II or IV Solve the problem. 15) A square plywood platform has a perimeter which is 6 times the length of a side, decreased by 10 . Find the length of a side. 15) A) 2 units B) 5 units C) 7 units D) 1 unit 16) Mary, the owner of Vitallo's Pizza Parlor, had start - up costs of $5700 . The ingredients for each pizza cost $4.75 , and she sells each pizza for $8 . She has no other expenses. Express the cost C as a function of x, where x represents the number of pizzas sold. 16) A) C(x) = 4.75 x + 5708 B) C(x) = 5700 x + 4.75 C) C(x) = 4.75 x + 8 D) C(x) = 4.75 x + 5700 2 2 / 4

Solve the equation analytically. 17) 6 x - ( 4 - x) = 8 [ 4 - ( 6 + 8 x - 9 )] 17) A) - 20 19 B) - 84 71 C) - 28 23 D) 60 71 Solve the inequality analytically, writing the solution set in interval notation. 18) 3 x + 10 - 8 < - 34 3 18) A) 242 9 , Q B) - Q , - 34 3 C) 242 3 , Q D) - 34 9 , Q Provide an appropriate response. 19) The functions f(x) and g(x) are linear, and the solution set for f(x) L g(x) is [ - 7, Q ). Furthermore, f( - 7) = g( - 7) = 3. What can you say about f(x) and g(x) for ( - Q , - 7]? 19) A) f(x) K g(x) B) f(x) L g(x) C) f(x) > g(x) D) Nothing about the relationship between f(x) and g(x) can be determined. Using the variable x, write the interval using set - builder notation. 20) 20) A) { x x L 1 } B) { x x K 1 } C) { x x > 1 } D) { x x < 1 } For the set, list all elements that belong to the specified set. 21) { 9 , 7 , - 4 , 0, 0. 89 }; Irrational numbers 21) A) 7 , 0. 89 B) 7 , 0, 0. 89 C) 7 , - 4 D) 7 Write the equation in the form y = mx + b. 22) 2 x + 4 y = 13 22) A) y = 2 x - 13 B) y = - 1 2 x + 13 4 C) y = 1 2 x - 13 4 D) y = 1 2 x + 13 4 Evaluate the function. 23) Find f( - 10 ) when f(x) = 3 - x 6 . 23) A) 11 2 B) 5 C) - 7 6 D) 13 6 Suppose that P is the endpoint of a segment PQ and M is the midpoint of PQ. Find the coordinates of endpoint Q. 24) P( - 3 , - 6 ), M 2 , - 2 24) A) Q( 7 , 2 ) B) Q - 10 , - 8 C) Q 4 , - 4 D) Q - 2 , 2 Solve the problem. 25) Mardi received an inheritance of $ 60,000 . She invested part at 9 % and deposited the remainder in tax - free bonds at 7 %. Her total annual income from the investments was $5200 . Find the amount invested at 9 %. 25) A) $ 54,800 B) $ 25,000 C) $ 50,000 D) $ 49,000 3 3 / 4

Solve the formula for the specified variable. 26) V = 1 3 Bh for B 26) A) B = V 3 h B) B = 3V h C) B = 3 h V D) B = h 3V Using interval notation, write the set. 27) { x x > 2 } 27) A) [ 2 , Q ) B) ( 2 , Q ) C) ( 2 , Q ] D) [ 2 , Q ] Solve the problem. 28) The paired data below consist of the temperatures on randomly chosen days and the amount a certain kind of plant grew (in millimeters). Find the equation of the least - squares regression line that models the data. Temp 62 76 50 51 71 46 51 44 79 Growth 36 39 50 13 33 33 17 6 16 28) A) y Y 7.30 - 0.112x B) y Y - 14.6 - 0.211x C) y Y 14.6 + 0.211x D) y Y 7.30 + 0.122x Refer to the graph of the linear function defined by y = f(x) or the graph of the linear functions defined by y 1 = f(x) and y 2 = g(x) to solve the equation or inequality. 29) g(x) < f(x) 29) A) ( gQ , 10) B) ( gQ , 2) C) (10, Q ) D) (2, Q ) Find the equation of the line satisfying the given conditions, giving it in slope - intercept form if possible. 30) Through ( 9 , - 8 ), perpendicular to x = 7 30) A) y = - 8 B) y = 7 C) x = 7 D) y = 8 4

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