Stud Guide - Ch 3 Name MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. The bar graph below shows the number of students b major in the College of Arts and Sciences. Answer the question. 1) How man more students are majoring in math than in science? A) 0 B) C) 10 D) 0 2) Which major has about 10 students? A) Histor B) Science C) Math D) English Use the line graph to answer the question. 3) What were the total sales for the first 6 months of 1990? 1) 2) 3) A) $366,000 B) $302,000 C) $64,000 D) $290,000 Complete the ordered pair for the given equation. 4) 2 + = 2 (0, ) A) (0, 4) B) (0, -2) C) (0, 2) D) (0, 0) 4) 1
Decide whether or not the ordered pair is a solution to the equation. ) = -6; (-4, ) A) No B) Yes Complete the table of values for the given equation. 6) 3-3 = -9 3 0 6 A) 6; 3; -3 B) 0; -3; 3 C) 6; -3; 3 D) 0; 3; -3 Give the ordered pairs for the points labeled on the graph. 7) 8 ) 6) 7) 4 A B -8-4 4 8-4 -8 A) A(2, -1); B(1, -1) B) A(2, 1); B(0, 1) C) A(-2, 1); B(0, 1) D) A(2, 1); B(0, -1) SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question. Plot the ordered pairs on the rectangular coordinate sstem provided. 8) A(1, 0), B (4, 0) 8) 6-6 6-6 2
9) A(, 4), B(-3, -3) 6 9) -6 6-6 For the given equation, complete the table of values and plot the resulting ordered pairs. ) - = 2 ) 0 2-2 4 - - Complete the ordered pairs. Then graph the equation b plotting the points and drawing a line through them. 11) = 4-4 (0, ), (, 0), (4, ) 11) - - - - MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Find the intercepts for the graph of the equation. 12) -2-4 = 0 A) (0, -4) (0, -8) B) (0, 0) (0, 0) C) (-4, 0) (-8, 0) D) (-0, -8) (-4, 0) 13) 3 + = 3 A) (3, 6) (-1, 3) B) (-1, 0) (6, 0) C) (1, 0) (0, 3) D) (0, -1) (0, 6) 12) 13) 3
SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question. Graph the linear equation. 14) = -7 14) - - - - 1) 3 - = -6 1) - - - - MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Solve b graphing. Label the aes and show where the solution is located on the graph. 16) The cost, T, in hundreds of dollars, of tuition at one communit college is given b T = 4 + 1.2c, where c is the number of credits for which a student registers. Graph the equation and use the graph to estimate the cost of tuition if a student registers for credits. 16) 22 20 18 16 14 12 8 6 4 2 T 1 2 3 4 6 7 8 9 1112 c A) About $160 B) About $1700 C) About $900 D) About $20 4
17) The cost, c, in dollars of car rental is 6 +.2m, where m is the number of miles driven. Graph the equation and use the graph to estimate the cost of car rental if the number of miles driven is 26. 17) 4 40 3 30 2 20 1 12023034040 m A) About 18 dollars B) About 9 dollars C) About 27. dollars D) About 13 dollars Answer the question. 18) True or False: The graph of the equation 12-20 = 40 goes through (, 1). A) True B) False Use the coordinates of the indicated points to find the ratio of rise to run for the line. 19) 18) 19) - - - - A) -1 B) -2 C) 2 D) 1
20) 20) - - - - A) 0 B) 1 C) 2 D) Undefined 21) 21) - - A) 2 B) -2 C) - 1 2 D) 1 2 Find the slope of the line going through the given pair of points. 22) - 1 4, - 3 and 0, - 1 22) A) 4 B) 2 C) 4 D) 8 Find the slope of the line. 23) 8 = 3 + 9 23) A) 9 8 B) 3 8 C) 8 3 D) - 8 3 6
Decide whether the slope is positive, negative, zero, or undefined. 24) 24) - - A) Negative B) Zero C) Positive D) Undefined Determine whether the graphs of the equations are parallel lines, perpendicular lines, or neither. 2) 3-6 = 16 18 + 9 = 16 A) Parallel B) Perpendicular C) Neither 26) 3-9 = 1 36 + 9 = 1 A) Parallel B) Perpendicular C) Neither Solve the problem. 27) 2) 26) 27) Let = 12 and = 3. Find the pitch of the roof. A) 1 3 B) 1 2 C) 1 4 D) 1 6 SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question. Provide the proper response. 28) If two nonvertical lines have the same slope, the are. 28) 29) If two nonvertical lines never intersect, what do we know about their slopes? 29) 7
Choose the line that most closel resembles the graph of the given equation. 30) = - - 3 30) MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Use the geometric interpretation of slope (rise divided b run) to find the slope of the line. Then, b identifing the -intercept from the graph, write the slope-intercept form of the equation of the line. 31) 31) - - - - A) = - + 2 B) = + 2 C) = - - 2 D) = - 2 Write an equation of the line with the given slope and -intercept. 32) m = 4; (0, 0) A) = 4 B) = 4 C) = 4 D) = + 4 32) SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question. Graph the line. 33) Through (3, -3), undefined slope. 33) - - - - MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Write an equation of the line through the given point with the given slope. Write the equation in slope-intercept form. 34) (0, ); m = - 7 34) A) = - 7 + B) = - 7 + C) = - 7 - D) = - 7 + 1 8
Write the slope-intercept form of the equation for the line passing through the given pair of points. 3) (9, -8) and (9, 4) A) 4-8 = 0 B) = -8 C) = 9 D) -8 + 4 = 0 3) 36) - 1 3, 2 3 and 1 3, 7 3 36) A) = 2 + 3 2 B) = 2-6 C) = D) = + 9 2 Find an equation in slope-intercept form of the line satisfing the specified conditions. 37) Through (-9, 3), perpendicular to 8 + = -32 A) = 8 + 69 B) = 8 8 + 69 C) = - 8-69 8 D) = - 8-4 37) Solve the problem. 38) A cable TV compan charges $27 for the basic service plus $6 for each movie channel. Let be the total cost in dollars of subscribing to cable TV, using movie channels. Find the slope-intercept form of the equation. A) = 27 + 6 B) = 27-6 C) = 6 + 27 D) = 6-27 38) After reading the sentence, correctl fill in the blank with one of the following inequalit smbols: <, >,, or. 39) The park district board of directors authorized the construction of a golf course with a budget not to eceed 3.6 million dollars The golf course budget is 3.6 million dollars. A) > B) C) < D) 39) 9
Complete the graph b shading the correct region. 40) -6 40) - - - - A) B) - - - - - - - - C) D) - - - - - - - -
Graph the linear inequalit. 41) 6 41) - - - - A) B) - - - - - - - - C) D) - - - - - - - - 11
Choose the inequalit that best matches the shaded graph. 42) 42) A) - + 1 B) 2 + 2 C) 2 + 2 D) - 1 Solve the problem. 43) In order to make a profit an automobile dealer must sell at least 10 vehicles a month. The dealer plans to sell units of one model and units of another model. This situation can be modeled b the inequalit + 10. Graph this inequalit in Quadrant I. 43) 200 10 0 0 0 0 10 200 A) B) 200 200 10 10 0 0 0 0 0 0 10 200 0 0 10 200 12
C) D) 200 200 10 10 0 0 0 0 0 0 10 200 0 0 10 200 SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question. Answer the question or write an eplanation. 44) What is the minimum number of quadrants totall or partiall shaded in the graph of > m + b, when m > 0, b > 0? Which quadrants are the? 44) 13
Answer Ke Testname: MATH 24-CH3-STUDY GUIDE 1) D 2) B 3) A 4) C ) A 6) B 7) D 8) 6 A B -6 6 9) -6 6 A -6 6 B ) -6 2 0 4 2 0-2 6 4 - - 14
Answer Ke Testname: MATH 24-CH3-STUDY GUIDE 11) (0, -4), (1, 0), (4, 12) - - - - 12) B 13) C 14) - - - - 1) - - - - 16) A 17) D 18) A 19) A 20) A 21) B 22) B 23) C 24) D 2) B 1
Answer Ke Testname: MATH 24-CH3-STUDY GUIDE 26) C 27) C 28) parallel 29) The are the same. 30) 8 6 4 2 31) A 32) C 33) -8-6 -4-2 2 4 6 8-2 -4-6 -8 - - - - 34) B 3) C 36) A 37) A 38) C 39) D 40) B 41) A 42) B 43) B 44) 3 quadrants: I, II, and III 16