Use Scantron 882E to transfer the answers. MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
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1 HW Date: Name Use Scantron 88E to transfer the answers. MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. The graph shows sales in thousands of dollars for 1989 and Use it to answer the question. 1) If the ordered pair (, ) represents a point on the graph, what does represent? What does represent? A) represents the ear 00; represents the ear 007. B) represents the month; represents the sales in thousands of dollars. C) represents the month; represents the sales in thousands of dollars. D) represents the ear 00; represents the sales in thousands of dollars 1) ) Estimate the sales in June 00. A) about $ thousand B) about $0 thousand C) about $48 thousand D) about $4 thousand ) 3) Write an ordered pair (, ) that gives approimatel the sales in June 00. A) (, 0) B) (0, ) C) (00, 0) D) (June, 0) 3) 4) Which month in 00 had the lowest sales? A) Month B) Month C) Month 8 D) Month 3 4) ) Which month in 007 had the highest sales? A) Month B) Month 1 C) Month 3 D) Month ) ) What month in 00 had the highest sales? A) Month 1 B) Month C) Month D) Month 3 ) 7) What month in 007 had the lowest sales? A) Month 1 B) Month C) Month D) Month 3 7) 1r
2 Plot the point on the rectangular coordinate sstem provided. Write the corresponding letter as our answer. A B 4 C D E G F H - J I K -4 L - 8) (0, ) A) F B) K C) C D) B 8) 9) (-, -4) A) I B) G C) A D) L 9) ) (-3, 4) A) A B) F C) B D) K ) 11) (-3, 0) A) J B) F C) C D) G 11) 1) (3, ) A) D B) L C) I D) K 1) 13) (4, 3) A) C B) E C) D D) K 13) Complete the table for the equation. 14) 3 + = 14) 0 A) 7; -44; B) ; ; C) 7; -44; -44 D) ; -44; -44 1) + 4 = -3 1) A) ; -3; 0 B) ; - 9; 9 C) -; -3; -3 D) ; -3; -3
3 1) = ) A) 9; -1; 1 B) 9; -33; 1 C) -; -33; 1 D) 9; 0; 1 Graph the equation b determining the missing values needed to plot the ordered pairs. 17) + = 4; (0, ), (, 0), (1, ), (, 1) 17) A) B)
4 C) D) Find the - and -intercepts. Then graph the equation. 18) 8 - = -4 18) A) (-, 0); 0, - 1 B) - 1, 0 ; (0, -)
5 C) - 1, 0 ; (0, ) D) (, 0); 0, ) 3-9 = 9 19) A) (-1, 0); (0, 3) B) (1, 0); (0, -3)
6 C) (3, 0); (0, -1) D) (-3, 0); (0, 1) ) = 3 0) A) 1, 0 ; (0, -) 11 B) 1, 0 ; (0, )
7 C) - 1, 0 ; (0, -) 11 D) - 1, 0 ; (0, ) Find the midpoint of the segment with the given endpoints. 1) (, 3) and (, 7) 3 A), - B) 7, C) 3, -4 D) 7, 1) ) (7, -8) and (-8, ) A) -1, - B) - 1, - 1 C) 1, -14 D) 1, - 7 ) 3) (-, 9) and (7, 4) A) -13, B) 1, 13 C) - 13, D) 1, 13 3) Suppose that segment PQ has the given coordinates for one endpoint P and for its midpoint M. Find the coordinates of the other endpoint Q. 4) P(4, ) and M 7, 3 4) A) Q 1, B) Q 7, C) Q(3, 0) D) Q 1, 3 ) P(0, -4) and M - 1, 1 ) A) Q -1, 1 B) Q 1, -9 C) Q(-1, ) D) Q 1, - 9 Find the slope of the line through the given pair of points, if possible. Based on the slope, indicate whether the line through the points rises from left to right, falls from left to right, is horizontal, or is vertical. ) (-9, -8) and (4, 9) ) A) ; rises B) - ; falls C) ; rises D) ; falls 7
8 7) (-8, -) and (, -7) 7) A) 7; rises B) ; falls C) 1 7 ; rises D) - 7; falls 8) (, -9) and (, 9) A) 18; rises B) Undefined; vertical C) -18; falls D) 0; horizontal 8) 9) - 7, - and - 3 7, - 3 9) A) 7 ; falls B) 3 7 ; rises C) 7 ; rises D) 7 1 ; rises Find the slope of the line. 30) 30) A) - 1 B) 1 C) D) - 31) 31) A) -1 B) - C) 1 D) Find the slope of the line and sketch the graph. 8
9 3) -3 = ) A) Slope: 3 B) Slope: C) Slope: - 3 D) Slope: Graph the line described. 9
10 33) Through (, 0); m = ) A) B) C) D)
11 34) m = 0; through (, -) 34) A) B) C) D) Decide whether the pair of lines is parallel, perpendicular, or neither. 3) 3 - = -9 and + 3 = -3 A) Parallel B) Perpendicular C) Neither 3) 3) = 1 and = 17 A) Parallel B) Perpendicular C) Neither 3) 37) The line through (-0, ) and (-4, 7) and the line through (-, ) and (7, 4) A) Parallel B) Perpendicular C) Neither 37) 11
12 Solve the problem. 38) For the incline shown below, how man feet in the vertical direction correspond to ft in the horizontal direction? 38) A) 3 ft B) 40 ft C) 4 ft D) ft 39) A motorccle daredevil is planning a stunt to perform at a count fair. A ramp must be built to give him a 0% grade, or slope. If the vertical height at the end of the ramp must be 1 ft to assure that the stunt is a success, what must be the length of the horizontal run? 39) A) 0 ft B).1 ft C) 1 ft D) 1 ft Find the average rate of change illustrated in the graph. 40) 40) Distance Traveled (in miles) Time (in hours) A) miles per hour B) miles per hour C). miles per hour D). miles per hour 1
13 41) 41) Height of Sand in Hourglass (in mm) (, 41.) (, 7.) Time (in seconds) A) 1 mm per second B) 1.3 mm per second C).8 mm per second D).7 mm per second Solve the problem. Round our answer, as needed. 4) A deep sea diving bell is being lowered at a constant rate. After 8 minutes, the bell is at a depth of 300 ft. After 40 minutes the bell is at a depth of 1900 ft. What is the average rate of lowering per minute? A) 0.0 ft per minute B) 47. ft per minute C) 40.0 ft per minute D) 0.0 ft per minute 4) Tell whether the points are the vertices of a parallelogram (that is not a rectangle), a rectangle, or neither. 43) (-1, -), (-, 0), (3, 7), (1, -3) A) Rectangle B) Neither C) Parallelogram 43) 44) (-, -), (-8, 4), (7, 9), (4, 1) A) Rectangle B) Neither C) Parallelogram 44) Find the equation in slope-intercept form of the line satisfing the conditions. 4) m = 7, passes through (, -8) A) = B) = 7-0 C) = 7-48 D) = ) 4) m = -, passes through (-8, 4) A) = - 34 B) = C) + = 3 D) = ) 47) m = 9, passes through (, -3) A) = 9-48 B) = + 49 C) = D) = ) 48) m = -, passes through (-, ) A) + = 34 B) = C) = - 3 D) = ) 49) m = - 37 ; -intercept 0, ) A) = B) = C) = D) =
14 0) m = - 4 ; -intercept (0, 9) 0) A) = B) = C) = D) = 4-9 1) m = 3 ; through (0, 1) 4 1) A) = B) = C) = D) = Choose the graph that matches the equation. ) = A) 8 B) 8 ) C) 8 D) Write the equation in slope-intercept form. 3) 9 + = A) = B) = C) = 9-1 D) = 9-3) 4) 3 - = 4) A) = + 3 B) = C) = D) = 3-14
15 ) = 9 ) A) = - 3 B) = C) = D) = Find the slope and the -intercept of the line. ) + 9 = 38 ) A) Slope - 4 ; -intercept 0, 9 38 C) Slope 38 ; -intercept 0, 9 9 B) Slope 4 ; -intercept 0, 9 38 D) Slope - 38 ; -intercept 0, 9 9 7) 4 + = 3 A) Slope ; -intercept 0, C) Slope - 4 ; -intercept 0, 3 B) Slope 4 ; -intercept 0, 3 D) Slope 4 3 ; -intercept 0, 7) 8) 4 - = A) Slope - 4 ; -intercept (0, 1) B) Slope 4 ; -intercept (0, -1) 8) C) Slope 1; -intercept (0, 1) D) Slope -1; -intercept (0, -1) Find an equation of the line that satisfies the conditions. Write the equation in standard form. 9) Through (, 3); m = ) A) = -30 B) = -30 C) 3-8 = 30 D) = 30 0) Through (0, 4); m = ) A) 8-9 = 3 B) = 3 C) = -3 D) = -3 1) Through (0, 7); m = 7 1) A) - 7 = -3 B) 7 + = -3 C) 7 - = -3 D) 7 - = 3 ) Through (, ); m = ) A) = -3 B) 3-4 = 3 C) = -3 D) = 3 3) Through (0, 4); m = ) A) = -3 B) = 3 C) 7-9 = 3 D) = -3 4) Through (0, 4); m = 7 4) A) 7 - = -4 B) 7 + = -4 C) - 7 = -4 D) 7 - = 4 1
16 ) Through (, -7); horizontal A) = B) = - C) = 7 D) = -7 ) ) Through (-, 3); undefined slope A) = 3 B) = - C) = - D) = 3 ) 7) Through 1, ; vertical 7) A) = 1 B) = C) = D) = 1 Find an equation of the line passing through the two points. Write the equation in standard form. 8) (-, 1) and (0, 8) A) 7 - = -40 B) = -4 C) -7 - = -40 D) + 8 = -4 8) 9) (4, -) and (0, 3) A) = -9 B) - 3 = -9 C) + 4 = 1 D) = 1 9) 70) (-, ) and (1, ) A) -4-9 = -8 B) = -8 C) -8-3 = - D) 8-3 = - 70) 71) (, 9) and (, 1) A) + = 11 B) = 9 C) + = 19 D) = 71) Find an equation of the line satisfing the conditions. Write the equation in slope -intercept form. 7) Through (-, ); parallel to -7 + = 7 A) = B) = C) = D) = ) 73) Through (-, 7); parallel to = 3 A) = B) = C) = D) = ) Solve the problem. 74) It costs $0 per hour plus a flat fee of $17 for a plumber to make a house call. What is an equation of the form = m + b for this situation? A) = 17 B) = C) = 0 D) = ) 7) Using a phone card to make a long distance call costs a flat fee of $0.31 plus $0.0 per minute starting with the first minute. What is an equation of the form = m + b for this situation? A) = 0.31 B) = 0.0 C) = D) = ) The boundar of the graph of the linear inequalit will be a line, and the shading will be the line. Fill in the first blank with either solid or dashed. Fill in the second blank with above or below. 7) < - 1 7) A) dashed; below B) solid; below C) dashed; above D) solid; above 1
17 77) > ) A) solid; above B) solid; below C) dashed; below D) dashed; above 78) ) A) solid; above B) solid; below C) dashed; below D) dashed; above Graph the linear inequalit in two variables. 79) ) A) B) C) D)
18 80) ) A) B) C) D) Decide whether the relation is a function. 81) {(-1, 7), (1, -9), (4, -9), (7, -), (, -3)} A) Function B) Not a function 81) 8) {(-4, 1), (-3, -), (3, -8), (3, 4)} A) Not a function B) Function 8) 83) {(-8, ), (-8, 8), (1, ), (, ), (7, )} A) Not a function B) Function 83) 18
19 84) {(, -9), (, -), (, 9), (8, -7), (1, )} A) Function B) Not a function 84) 8) 8) A) Function B) Not a function A) Function B) Not a function 8) 8) 87) A) Function B) Not a function 87) 88) 88) A) Function B) Not a function 89) 89) A) Function B) Not a function Decide whether the relation is a function, and give the domain and range. 90) 90) A) Not a function; domain: (-, 0) (0, ); range: (-, ) B) Function; domain: (-, ); range: (-, ) C) Not a function; domain: (-, ); range: (-, ) D) Function; domain: (-, 0) (0, ); range: (-, ) 19
20 91) 91) A) Not a function; domain: (-, ] ; range: (-, ) B) Function; domain: (-, ) ; range: (-, ) C) Function; domain: (-, ] ; range: (-, ) D) Not a function; domain: (-, ) ; range: (-, ) 9) 9) A) Not a function; domain: [-, ]; range: [-7, -3] B) Function; domain: [-7, -3]; range: [-, ] C) Not a function; domain: [-7, -3]; range: [-, ] D) Function; domain: [-, ]; range: [-7, -3] Solve the problem. 93) Find f(4) when f() = A) 30 B) C) - D) 34 93) 94) Find f(-4) when f() = + +. A) 7 B) 13 C) 77 D) 93 94) 9) Find f(k) when f() = A) 3k + 4k + B) 9k + 1k + C) 3k + 4k + D) 3k + 1k + 9) 9) Find g(a + 1) when g() = ) A) 1 3 a + B) 3a - 1 C) 3a + D) 3a + 0
21 Evaluate the function. 97) Find f(0) if f = {(-, 3), (3, 0), (0, ), (, -)} A) None of these B) (, 3) C) D) 3 97) 98) Find f(4) f 98) A) 7 B) (1, 7) C) 1 D) None of these An equation that defines as a function of is given. Solve for in terms of, and replace with the function notation f(). 99) - = 99) A) f() = - B) f() = - C) f() = - D) f() = Graph the linear function. Give the domain and range. 0) f() = 4 + 0) A) Domain: (-, ) Range: (-, ) B) Domain: (-, ) Range: (-, )
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