# MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. C)b = h 2A

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1 MATH 830/GRACEY EXAM PRACTICE/CH..-3 Name MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Solve the formula for the specified variable. 1) A = 1 bh for b 1) A) b = Ah B) b = A h C)b = h A D) b = A h ) P = L + W for L A) L = d - W B) L = P - W C)L = P - W D) L = P - W ) 3) S = πrh + πr for h A) h = S - r B) h = S πr - 1 C)h = π(s - r) D) h = S - πr πr 3) Solve the equation for. ) = + 3 A) = - 3 B) = - 3 C) = - 3 D) = 1-3 ) Epress the percent as a decimal. ) 1% A) 0.1 B) 0.0 C) 1. D) 0.01 ) ) 8% A).8 B) 8. C) 0.8 D).8 ) ) 0.% A) 0.00 B) 0. C) 0.00 D) 0.0 ) 8) 1 1 % A) 0.00 B) C)0.0 D). 8) Epress the decimal as a percent. 9) 0. A) 0.0% B).% C) % D) 0% 9) ) 0.8 A) 0.08% B) 0.8% C).8% D) 8% ) Use the percent formula, A = PB: A is P percent of B, to solve. 11) What number is 9% of 130? A) 110 B) 1.1 C) 11 D) ) 1

2 1) 8% of what number is 38.? A) 18.3 B) 80 C) 0.8 D) ) 13) 08 is what percent of 30? A) % B) 0.% C) 00% D) 0% 13) 1) 8 is 0% of what number? A) B) 180 C) 1.8 D) 18 1) Solve the problem. 1) Jeans are on sale at the local department store for 30% off. If the jeans originall cost \$0, find the sale price. (Round to the nearest cent, if necessar.) A) \$.00 B) \$8.0 C) \$3.00 D) \$1.00 1) 1) Of the 0 students in an algebra class, 8 of them received an F on the mid-term eam. What percent of the algebra students received an F on the eam? (Round to the nearest tenth of a percent, if necessar.) A).% B) 13.3% C) % D) 133.3% 1) The pie chart below shows the number of pizzas consumed b college students in a tpical month. Use the chart to answer the question. 1) What percent of college students consume 1- pizzas in a tpical month? A) 3% B) % C)18% D) 1% 1)

3 18) If State Universit has approimatel,000 students, about how man would ou epect to consume - pizzas in a tpical month? A) 8 students B) 1,980 students C) 80 students D) 198 students 18) 19) What percent of college students consume no pizzas in a tpical month? A) 3% B) % C)% D) 18% 19) Solve the problem. 0) If is increased to 8, the increase is what percent of the original number? A) 0.% B) 0.00% C) % D) 0% 0) 1) If 0 is decreased to 9, the decrease is what percent of the original number? A) 0.000% B) 0.% C) 0.0% D) % 1) Let represent the number. Write the English phrase as an algebraic epression. ) The product of 9 and a number, added to. A) + 9 B) 3 C)9 + D) 3 + ) 3) The product of - and the sum of a number and 18. A) B) C) -( + 18) D) -8 3) ) Five times a number decreased b three-fourths of the same number. A) ( ) B) - C) - 3 D) 3 - ) Let represent the number. Use the given conditions to write an equation. Solve the equation and find the number. ) Four times a number added to times the number equals. Find the number. ) A) - = ; -.3 B) + = ; C)( + ) = ;.3 D) ( + ) = ; 0. ) If 3 times a number is added to -9, the result is equal to 1 times the number. Find the number. A) 3 + (-9) = 1; -1 B) 1(3-9) = -9;-1 C)1-1 = 9; 1 D) + (-9) = 1; 1 ) Solve the problem. ) The president of a certain universit makes three times as much mone as one of the department heads. If the total of their salaries is \$190,000, find each worker's salar. A) president's salar = \$,00; department head's salar = \$1,00 B) president's salar = \$1,0; department head's salar = \$0 C) president's salar = \$9,000; department head's salar = \$,00 D) president's salar = \$1,00; department head's salar = \$,00 ) 8) Two angles are complementar if their sum is 90. If the measure of the first angle is, and the measure of the second angle is (3 - ), find the measure of each angle. A) 1st angle = ; nd angle = 8 B) 1st angle = 31 ; nd angle = 9 C)1st angle = ; nd angle = D) 1st angle = 3 ; nd angle = 8) 3

4 9) An isosceles triangle contains two angles of the same measure. If the measure of the third angle is 1 less than the measure of either of the other two identical angles, find the measure of one of the identical angles. (Hint: The sum of the angles of a triangle is 180.) A) B) C) D) 11. 9) 30) A -ft. board is cut into pieces so that one piece is feet longer than 3 times the shorter piece. If the shorter piece is feet long, find the lengths of both pieces. A) shorter piece: ft; longer piece: 30 ft. B) shorter piece: ft.; longer piece: 8 ft. C)shorter piece: ft; longer piece: 3 ft. D) shorter piece: 8 ft; longer piece: 30 ft. 30) Use a formula for perimeter or area to solve the problem. 31) 11 cm 31) cm cm 11 cm Find the perimeter of the figure. A) 8 cm B) 8 cm C)3 cm D) 18 cm 3) 3) units 11 units 19 units Find the area of the triangle. A) 33 units B) 11 units C) units D). units 33) 13 cm 33) 18. cm 0 cm Find the area of the trapezoid. A) 3 cm B) 00. cm C)3. cm D) cm Solve. 3) To trim the edges of a rectangular table cloth, feet of lace are needed. The length of the table cloth is eactl one-half its width. What are the dimensions of the table cloth? 3) A) length: feet; width: 1 feet B) length: 1 feet; width: feet C)length: 3 1 feet; width: feet D) length: 1 feet; width: 8 feet

5 3) 3) ft 1 ft 1 ft 8 ft The drawing shows the end of a building that is to be bricked. If the area of the side of a brick used is 1 8 sq. ft, find the number of bricks needed to completel cover the side of the building. A) 190 bricks B) 30 bricks C) 0 bricks D) 30 bricks Use the formula for the area or circumference of a circle to solve the problem. Where applicable, epress answers in terms of π. 3) 3) 3 mi Find the area of the circle. A) 9π mi B) π mi C)1π mi D) π mi 3) The circumference of a circle is π meters. Find the circle's radius. A) 3 m B) π m C)3π m D) m 3) Solve. 38) Find the area of the skating rink. Use π = 3.1 and round to the nearest tenth. 3 ft 38) 9 ft A) 9. sq. ft B) sq. ft C).3 sq. ft D) 8. sq. ft Use the formula for the area or circumference of a circle to solve the problem. Where applicable, epress answers in terms of π. 39) The circumference of a circle is π meters. Find the circle's diameter. 39) A) 1π m B) π m C) m D) 1 m

6 Find the volume of the figure. Where applicable, epress answers in terms of π. 0) 0) 11 ft 11 ft 11 ft A) 11 ft3 B) ft3 C)1331 ft3 D) 33 ft3 1) 1) cm A) 8,3π cm3 B) 19,83π cm3 C),π cm3 D) 91π cm3 Solve. ) Find the volume of an aluminum can that has a radius of. centimeters and a height of centimeters. Use π = 3.1 and round to the nearest tenth. A).1 cm3 B) 9. cm3 C)11.8 cm3 D) 1 cm3 ) Use the relationship among the three angles of an triangle to solve the problem. 3) Two angles of a triangle are 30 and 0. Find the third angle. A) 80 B) 80 C) 0 D) 3) ) One of the base angles of an isosceles triangle is 3. Find the measures of the other two angles. (An isosceles triangle has two equal base angles.) A) 3, 31 B) 3, 13 C)3, D) 3, ) ) A triangle has angles of (), (3 + ), and ( + 11). Find the measure of each angle. A) 18, 1, B) 18,, C), 1, D),, ) Find the measure of the indicated angle. ) Find the measure of the complement of 38. A) 3 B) 3 C) 1 D) ) ) Find the measure of the supplement of 9. A) 1 B) not possible C) 1 D) 11 ) 8) The angle's measure is 0 more than triple that of its supplement. A) 0 B) 80 C) 1 D) 1 8)

7 Graph the solution of the inequalit on a number line. 9) > 9) A) B) C) D) ) - 0) A) B) C) D) ) < 1) A) B) C) D) Epress the solution set of the inequalit in interval notation. ) -13 A) (-13, ) B) (-, -13) C)(-, -13] D) [-13, ) )

8 3) < A) (-, ) B) (-, ] C)(, ) D) [, ) 3) Use the addition propert of inequalit to solve the inequalit and graph the solution set on a number line. ) - ) A) (-, ] B) [, ) C)(-, ) D) (-, -) ) - > 1 ) A) (-, ) B) (, ) C)(-, -) D) (-, )

9 ) ) A) (-, -3) B) [-9, ) C)(-, -9] D) (-3, ) Use the multiplication propert of inequalit to solve the inequalit and graph the solution set on a number line. ) 9-3 ) A) (, ) B) (-, ) C)[-, ) D) (-, -]

10 8) - < 8) A), B) - 1, C) -, D) -, Use both the addition and multiplication properties of inequalit to solve the inequalit. Graph the solution set on a number line. 9) - 9) A) [-, ) B) (-, -] C)[, ) D) (-, ]

11 0) 8 - (3 - ) 0) A) (-, ] B) (-, ) C)(-, 3] D) [, ) ) 11r - 1 9r - 1) A) [-, ) B) (-, ] C)[, ) D) (-, -]

12 ) < ) A) (, ) B) (1, ) 1 3 C)(-, ) D) (-, 1) ) ( - 1) < 3 3) A) [-, ) B) (-, ] C)(-, - ) D) (-, ) Solve the inequalit. ) A) , B) -,- C)(-, ) D) ) ) -3(-3 - ) < A) (-, ) B) C)(-, 9) D) (-, 0) ) 1

13 Solve the problem. ) An archer set containing a bow and three arrows costs \$8. Additional arrows can be purchased for \$ each. Gerri has \$138 to spend on the set and additional arrows. Including the arrows in the set, what is the maimum total number of arrows Gerri can purchase? A) at most 1 arrows B) at most 1 arrows C)at most arrows D) at most arrow(s) ) It takes 8 minutes to set up a cand making machine. Once the machine is set up, it produces 0 candies per minute. Use an inequalit to find the number of candies that can be produced in hours if the machine has not et been set up. A) at most 11,00 candies B) at most 10 candies C)at most 390 candies D) at most 80 candies ) ) Indicate in which quadrant the point lies. 8) (9, ) A) II B) I C)III D) IV 8) 9) (,-8) A) I B) IV C)III D) II 9) 13

14 Plot the given point in a rectangular coordinate sstem. 0) (-3, 1) 0) A) B) C) D)

15 Give the ordered pairs that correspond to the points labeled in the figure. 1) B 3 1 A 1) A) A = (3, ), B = (,-) B) A = (, 3), B = (,-) C)A = (, 3), B = (-, ) D) A = (, ), B = (3, ) Determine whether the ordered pair is a solution of the given equation. ) (-3, 1) = + A) Yes B) No ) 3) (-, ) - = 1 A) Yes B) No 3) Find a solution to the equation using the value given for. ) = ; = -. A) (-, -1) B) (-, -9) C)(-, -1) D) (-, ) ) ) = 8 + ; = -3 A) (-3, 1) B) (-3,-30) C)(-3, -18) D) (-3,-) ) ) = - ; = 3 A) (3, 3) B) (3, 1) C)(3, 9) D) (3,-19) ) 1

16 Graph the linear equation in two variables. ) = - ) A) B) C) D)

17 8) = 3 + 8) A) B) C) D)

18 9) = 1-9) A) B) C) D) Write the sentence as a linear equation in two variables. Then graph the equation. 18

19 80) The -variable is less than the -variable. 80) A) = - B) = C) = - D) - = Solve the problem. 81) A customer at a store bought bottles of juice and 3 fruit pies for a total cost of \$0.. If a bottle of juice costs \$., find the cost of a fruit pie. A) \$. B) \$11.0 C) \$.00 D) \$.0 81) 19

20 8) The linear equation in two variables = models the total cost,, in dollars, for towing a car miles. The equation indicates that the towing compan charges a fied amount of \$8 to send a truck to pick up the car plus a cost of \$3 for each mile the car is towed. Find a solution of = using for. A) (, 8) B) (, 88) C)(, 9) D) (, 1) 8) 83) A projectile is fired from the top of a building 00 feet high. The graph shows the height of the projectile, in feet, above the ground, in terms of its distance, in feet, from the base of the building. 83) 800 Height above ground (feet) (, 39) A Distance from building (feet) Estimate the coordinates of the point A. Interpret the coordinates in terms of the information given. A) approimatel (130, 00); the projectile is 130 feet above the ground 00 seconds after it is fired. B) approimatel (130, 00); the projectile is 00 feet above the ground when it is 130 feet from the base of the building. C) approimatel (00, 130); the projectile is 130 feet from the base of the building 00 seconds after it is fired D) approimatel (130, 00); the projectile is 130 feet above the ground when it is 00 feet from the base of the building. 0

21 Use the graph to identif the - and - intercepts or state that there is no - or -intercept. 8) 8) A) -intercept = 1; -intercept = 3 B) -intercept = -1; -intercept = 3 C) -intercept = -1; -intercept = -3 D) -intercept = -3; -intercept = -3 8) 8) A) -intercept = ; -intercept = 0 B) no -intercept; -intercept = C) -intercept = ; no -intercept D) -intercept = 0; -intercept = - 1

22 The graph shows the monthl revenue in millions of dollars of a growing compan after the compan doubled its advertising. Use the graph to solve the problem. 8) During what period of time is the compan's monthl revenue decreasing? A) From the time that the advertising was doubled until the 9th month B) From the time that the advertising was doubled until the th month C)From the 9th month to the 1th month D) From the th month to the 9th month 8) 8) How man months after the compan doubled its advertising did the minimum monthl revenue occur. A) months B) 9 months C)1 months D) 0 months 8) Find the -intercept and the -intercept of the graph of the equation. Do not graph the equation. 88) + = A) -intercept = ; no -intercept B) -intercept = 0; -intercept = C)-intercept = ; -intercept = D) -intercept = 3; -intercept = 3 88) 89) - - = A) -intercept = -; -intercept = - B) -intercept = -; -intercept = 0 C) -intercept = -; -intercept = -1 D) -intercept = -1; -intercept = 89)

23 Find the - and -intercepts for the equation. Then graph the equation. 90) - 3 = 90) A) (0, -); (, 0) B) (0, ); (, 0) C)(0, -); (-, 0) D) (0, ); (-, 0)

24 91) - = 0 91) A) (0, ); (-, 0) B) (0, -); (, 0) C)(0, ); (, 0) D) (0, -); (-, 0)

25 Write an equation for the graph. 9) 9) A) = 1 B) = -1 C) = -1 D) = 1

26 Graph the equation. 93) = 8 93) A) B) C) D)

27 9) + 3 = 0 9) A) B) C) D) Find the slope of the line passing through the pair of points or state that the slope is undefined. 9) (8, ) and (3, 3) 9) A) - B) 1 C) - 1 D) 11 9) (-, 1) and (13, 1) A) B) 13 1 C) 1 11 D) )

28 9) (-3, -) and (-3, ) A) undefined B) 3 C) - 3 D) 0 9) 98) (9, -1) and (-, -1) 98) A) - B) 0 C)undefined D) 11 Find the slope of the line, or state that the slope is undefined. 99) 99) A) 1 B) -1 C) D) - 0) 0) A) 3 B) C) -3 D) 1 3 8

29 1) 1) A) - B) 0 C) Undefined D) Provide an appropriate answer. ) Determine whether the points whose coordinates are (1, 3), (3, -3), and (, -9) lie on a line. A) The points do not lie on a line. B) The points lie on a line. ) Determine whether the lines through each pair of points are parallel. 3) (-3, ) and (13, 3); (9, ) and (1, 19) A) not parallel B) parallel 3) Determine whether the lines through each pair of points are perpendicular. ) (-1, -3) and (3, -1); (-, 8) and (-1, ) A) not perpendicular B) perpendicular ) Solve. ) A section of roller coaster track has the dimensions shown in the diagram. Find the grade of the track, which is the slope written as a percent. ) 9.88 meters meters A) 9.88% B) 3% C) 38% D) 3% 9

30 ) A tent has the dimensions shown in feet. Find d so that the pitch of the left side of the roof is. ) d A) 1 1 feet B) feet C) feet D) 1 feet Find the slope of the line. ) = A) 0 B) 1 C) - D) ) 8) 3 - = -8 8) A) - 3 B) 3 C) D) - 3 Find the -intercept. 9) = - A) 3 8 B) - 8 C) - D) 0 9) 30

31 Graph the linear equation using the slope and -intercept. 1) = ) A) B) C) D)

32 111) = ) A) B) C) D)

33 Put the equation in slope-intercept form b solving for. Use the slope and -intercept to graph the equation. 11) + = 11) A) B) C) D)

34 113) = 113) A) B) C) D) Interpret the linear equation. 11) When a tow truck is called, the cost of the service is given b the linear function = 3 +, where is in dollars and is the number of miles the car is towed. Find and interpret the slope and -intercept of the linear equation. A) m = 3; The number of miles the car is towed increases 3 miles for ever dollar spent on the service. b = ; The tow truck will tow the car miles for no cost. B) m = ; The number of miles the car is towed increases miles for ever dollar spent on the service. b = 3; The tow truck will tow the car 3 miles for no cost. C)m = ; The cost of the service increases \$ ever mile the car is towed. b = 3; The cost of the service is \$3 if the car is not towed. D) m = 3; The cost of the service increases \$3 ever mile the car is towed. b = ; The cost of the service is \$ if the car is not towed. 11) 3

35 11) The altitude above sea level of an airplane just after taking off from an airport on a high plateau is given b the linear function = , where is in feet and is the time in minutes since take-off. Find and interpret the slope and -intercept. A) m = 309; The altitude of the airplane increases 309 feet ever minute. b = 309; The altitude of the airport where the airplane took-off is 00 feet above sea level. B) m = 00; The altitude of the airplane increases 00 feet ever minute. b = 309; The altitude of the airport where the airplane took-off is 309 feet above sea level. C)m = 309; The minutes since take-off increases 309 for ever foot of altitude. b = 00; The minutes that the plane takes to get to the altitude of the airport from sea level. D) m = 00; The minutes since take-off increases 00 for ever foot of altitude. b = 309; The minutes that the plane takes to get to the altitude of the airport from sea level. 11) Find the point-slope form of the equation of the line satisfing the given conditions and use this to write the slope-intercept form of the equation. 11) Slope =, passing through (3, ) A) = - B) = 1 - C) = + D) = ) 11) Slope = -, passing through (, -) 11) A) = + B) = - - C) = - D) = ) Passing through (0, ) and (, 1) A) = - - B) = - C) = + D) = ) 119) Passing through (-, -) and (-, -3) A) = 1 - B) = C) = D) = ) 10) -intercept = and -intercept = 1 A) = B) = C) = D) = ) Find the slope. 11) Find the slope of a line parallel to the line = ) A) B) C) - D) undefined 1) Find the slope of a line perpendicular to the line = ) A) undefined B) C) 8 D) ) Find the slope of a line perpendicular to the line = -. A) - B) - 1 C) undefined D) 0 13) 3

36 Find an equation for the line with the given properties. 1) The solid line L contains the point (-, ) and is perpendicular to the dotted line whose equation is =. Give the equation of line L in slope-intercept form. 1) - - A) = B) - = ( + ) C) = D) - = - 1 ( + ) Write an equation in slope-intercept form of the line satisfing the given conditions. 1) Passing through (, ) and parallel to the line whose equation is = -. A) = B) = C) = D) = ) 1) Parallel to the line + = 33; containing the point (,-). A) = + 39 B) = C) = - - D) = ) Solve the problem. 1) The graph below shows the average retail price of the least-epensive DVD plaer available at Mega Mart over the past few ears. Use the two points whose coordinates are given to find the slope-intercept form of an equation that models the data. 1) Average Retail Price of Least Epensive DVD Plaer Price, dollars (1, 19) (, 9) Years since 000 A) = B) = C) = D) =

37 Answer Ke Testname: M830EPRAC_INORDER 1) B ) B 3) D ) A ) A ) A ) C 8) B 9) C ) C 11) D 1) B 13) C 1) D 1) C 1) B 1) D 18) C 19) B 0) D 1) D ) A 3) C ) B ) B ) A ) D 8) D 9) A 30) B 31) C 3) C 33) D 3) A 3) A 3) A 3) A 38) B 39) C 0) C 1) C ) C 3) C ) B ) C ) D ) C 8) D 9) A 0) C 3

38 Answer Ke Testname: M830EPRAC_INORDER 1) D ) D 3) A ) A ) D ) C ) C 8) B 9) C 0) A 1) A ) C 3) D ) C ) B ) A ) D 8) B 9) B 0) C 1) C ) A 3) B ) A ) C ) B ) A 8) D 9) B 80) A 81) D 8) C 83) B 8) B 8) B 8) D 8) D 88) C 89) C 90) A 91) B 9) B 93) D 9) A 9) C 9) A 9) A 98) B 99) B 0) D 38

39 Answer Ke Testname: M830EPRAC_INORDER 1) C ) B 3) B ) B ) C ) B ) D 8) B 9) B 1) C 111) A 11) D 113) C 11) D 11) B 11) A 11) D 118) C 119) C 10) A 11) C 1) C 13) D 1) A 1) A 1) D 1) A 39

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