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Deck 41: Linear and Nonlinear Systems of Equations
Full screen (f)
Question
Solve the system by the method of substitution.Check your solution(s)graphically. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Select the ordered pair that is a solution of the system of equations. 
A)
B)(10,2)
C)(10,28)
D)
E)(2,10)
A)
B)(10,2)
C)(10,28)
D)
E)(2,10)
Question
Solve the system graphically. 
A)(8,-8), (8,8)
B)(-8,-8), (-8,8)
C)(-6,-7), (6,7)
D)(8,7), (8,8)
E)(6,7), (6,-7)
A)(8,-8), (8,8)
B)(-8,-8), (-8,8)
C)(-6,-7), (6,7)
D)(8,7), (8,8)
E)(6,7), (6,-7)
Question
Solve the system by the method of substitution.Check your solution(s)graphically. 
A)(-5,-5)
B)(3,3)
C)(5,5)
D)(-3,-3)
E)(5,3)
A)(-5,-5)
B)(3,3)
C)(5,5)
D)(-3,-3)
E)(5,3)
Question
Solve the system graphically. 
A)(5,5)
B)(3,3)
C)(-5,-5)
D)(-3,-3)
E)(5,3)
A)(5,5)
B)(3,3)
C)(-5,-5)
D)(-3,-3)
E)(5,3)
Question
Solve the system by the method of substitution. 
A)(7,3)
B)(7,-3)
C)(-8,-4)
D)(-7,3)
E)(8,4)
A)(7,3)
B)(7,-3)
C)(-8,-4)
D)(-7,3)
E)(8,4)
Question
Solve the system by the method of substitution. 
A)(3,3)
B)
C)
D)
E)(-3,-3)
A)(3,3)
B)
C)
D)
E)(-3,-3)
Question
Solve the system by the method of substitution. 
A)(-3,3)
B)(3,3)
C)(-3,-3)
D)(-5,-5)
E)(5,5)
A)(-3,3)
B)(3,3)
C)(-3,-3)
D)(-5,-5)
E)(5,5)
Question
Solve the system graphically. 
A)(-8,-7)
B)(-7,-6)
C)(7,6)
D)(7,7)
E)(8,7)
A)(-8,-7)
B)(-7,-6)
C)(7,6)
D)(7,7)
E)(8,7)
Question
Solve the system by the method of substitution. 
A)
B)(1,3)
C)
D)
E)(-1,3)
A)
B)(1,3)
C)
D)
E)(-1,3)
Question
Select the ordered pair that is a solution of the system of equations. 
A)(1,13)
B)(13,-1)
C)(-1,-13)
D)(1,-13)
E)(13,1)
A)(1,13)
B)(13,-1)
C)(-1,-13)
D)(1,-13)
E)(13,1)
Question
Solve the system by the method of substitution.Check your solution(s)graphically. 
A)(0,4), (0,-8)
B)(0,0), (4,8)
C)(0,0), (-4,-8)
D)(4,0), (0,-8)
E)(0,0), (4,-8)
A)(0,4), (0,-8)
B)(0,0), (4,8)
C)(0,0), (-4,-8)
D)(4,0), (0,-8)
E)(0,0), (4,-8)
Question
Use a graphing utility to solve the system of equations.Find the solution(s)accurate to two decimal places. 
A)
(-4,1)
B)
(0,4)
C)
(0,-4)
D)
(4,4)
E)
(-4,1)
A)
(-4,1)B)
(0,4)C)
(0,-4)D)
(4,4)E)
(-4,1) Question
Select the ordered pair that is a solution of the system of equations. 
A)(-6,
)
B)(3,6)
C)(
,-6)
D)(
,6)
E)(-3,-6)
A)(-6,
)B)(3,6)
C)(
,-6)D)(
,6)E)(-3,-6)
Question
Solve the system graphically. 
A)(6,3)
B)(-4,-3)
C)(4,3)
D)(6,6)
E)(-6,-6)
A)(6,3)
B)(-4,-3)
C)(4,3)
D)(6,6)
E)(-6,-6)
Question
Solve the system graphically. 
A)(-7,-5)
B)(9,-9)
C)(7,5)
D)(9,5)
E)(-9,-9)
A)(-7,-5)
B)(9,-9)
C)(7,5)
D)(9,5)
E)(-9,-9)
Question
Solve the system by the method of substitution.Check your solution(s)graphically. 
A)(3,6), (1,-2)
B)(5,5), (1,-2)
C)(6,3), (-3,6)
D)(3,6), (-2,1)
E)(5,5), (-2,1)
A)(3,6), (1,-2)
B)(5,5), (1,-2)
C)(6,3), (-3,6)
D)(3,6), (-2,1)
E)(5,5), (-2,1)
Question
Solve the system by the method of substitution.Check your solution(s)graphically. 
A)(-5,2)
B)(-3,-2)
C)(-5,-2)
D)(-3,-3)
E)(-3,2)
A)(-5,2)
B)(-3,-2)
C)(-5,-2)
D)(-3,-3)
E)(-3,2)
Question
Select the ordered pair that is a solution of the system of equations. 
A)(0,-6)
B)(0,6)
C)
D)
E)(-6,0)
A)(0,-6)
B)(0,6)
C)
D)
E)(-6,0)
Question
Solve the system by the method of substitution. 
A)No solution
B)(6,3)
C)(-5,-3)
D)(5,4)
E)(-5,-4)
A)No solution
B)(6,3)
C)(-5,-3)
D)(5,4)
E)(-5,-4)
Question
The weekly rentals for a newly released DVD of an animated film at a local video store decreased each week.At the same time,the weekly rentals for a newly released DVD of a horror film increased each week.Models that approximate the weekly rentals R for each DVD are 
where x represents the number of weeks each DVD was in the store,with x = 1 corresponding to the first week.After how many weeks will the rentals for the two movies be equal?
A)10 weeks
B)6 weeks
C)4 weeks
D)12 weeks
E)8 weeks
where x represents the number of weeks each DVD was in the store,with x = 1 corresponding to the first week.After how many weeks will the rentals for the two movies be equal?
A)10 weeks
B)6 weeks
C)4 weeks
D)12 weeks
E)8 weeks
Question
Solve the system graphically or algebraically.Find the solution(s)accurate to three decimal places. 
A)(3.752,0.287)
B)(0.387,3.852)
C)(0.287,3.752)
D)(0.287,3.852)
E)(3.852,0.387)
A)(3.752,0.287)
B)(0.387,3.852)
C)(0.287,3.752)
D)(0.287,3.852)
E)(3.852,0.387)
Question
Question
Solve the system graphically. 
A)(-3,-5)
B)(-5,3)
C)
D)
E)
A)(-3,-5)
B)(-5,3)
C)
D)
E)
Question
Solve the system graphically. 
A)(2,0)
B)(2,-4)
C)(0,-2)
D)(2,-2)
E)(4,-2)
A)(2,0)
B)(2,-4)
C)(0,-2)
D)(2,-2)
E)(4,-2)
Question
Question
Solve the system by the method of substitution. 
A)(-20,-40)
B)No solution
C)(20,40)
D)
E)
A)(-20,-40)
B)No solution
C)(20,40)
D)
E)
Question
What are the dimensions of an isosceles right triangle with a four-inch hypotenuse and an area of 4 square inches?
A)
in.× 
in.× 4 in.
B)
in.× 
in.× 4 in.
C)
in.× 
in.× 4 in.
D)
in.× 
in.× 4 in.
E)
in.× 
in.× 4 in.
A)
in.× in.× 4 in.B)
in.× in.× 4 in.C)
in.× in.× 4 in.D)
in.× in.× 4 in.E)
in.× in.× 4 in. Question
Question
Question
Solve the system by the method of substitution. 
A)(0,0)
B)(
, 
)
C)(
,- 
)
D)(-
, 
)
E)(-
,- 
)
A)(0,0)
B)(
, )C)(
,- )D)(-
, )E)(-
,- ) Question
Solve the system by the method of substitution. 
A)
B)
C)
D)No solution
E)
A)
B)
C)
D)No solution
E)
Question
Question
The total weekly sales for a newly released portable media player (PMP)increased each week.At the same time,the total weekly sales for another newly released PMP decreased each week.Models that approximate the total weekly sales S (in thousands of units)for each PMP are 
where x represents the number of weeks each PMP was in stores,with x = 0 corresponding to the PMP sales on the day each PMP was first released in stores.After how many weeks will the sales for the two PMPs be equal?
A)11 weeks
B)9 weeks
C)7 weeks
D)3 weeks
E)5 weeks
where x represents the number of weeks each PMP was in stores,with x = 0 corresponding to the PMP sales on the day each PMP was first released in stores.After how many weeks will the sales for the two PMPs be equal?
A)11 weeks
B)9 weeks
C)7 weeks
D)3 weeks
E)5 weeks
Question
Solve the system by the method of substitution. 
A)
B)(25,38)
C)
D)
E)(-25,-38)
A)
B)(25,38)
C)
D)
E)(-25,-38)
Question
Find the sales necessary to break even (R = C)for the cost C of producing x units and the revenue R obtained by selling x units.(Round to the nearest whole unit. ) 
A)2,937 units
B)3,137 units
C)3,037 units
D)3,337 units
E)3,237 units
A)2,937 units
B)3,137 units
C)3,037 units
D)3,337 units
E)3,237 units
Question
Find the dimensions of the rectangle meeting the specified condition.
The perimeter is 528 feet and the length is
times the width.
A)216 ft × 52 ft
B)216 ft × 48 ft
C)220 ft × 52 ft
D)218 ft × 48 ft
E)218 ft × 50 ft
The perimeter is 528 feet and the length is
times the width.
A)216 ft × 52 ft
B)216 ft × 48 ft
C)220 ft × 52 ft
D)218 ft × 48 ft
E)218 ft × 50 ft
Question
Question
Question
Question
Solve the system by substitution,if possible. 
A)(4,3)
B)(16,14)
C)(- 4,- 3)
D)(-11,106)
E)(- 16,- 14)
A)(4,3)
B)(16,14)
C)(- 4,- 3)
D)(-11,106)
E)(- 16,- 14)
Question
Question
Find the sales necessary to break even (R - C = 0)for the cost C of producing x units and the revenue R obtained by selling x units.(Round to the nearest whole unit. ) 
A)No real solution
B)387 units
C)355 units
D)377 units
E)355 units or 387 units
A)No real solution
B)387 units
C)355 units
D)377 units
E)355 units or 387 units
Question
Determine which ordered pair is a solution of the system. 
A)(3,-1)
B)(4,-6)
C)(-4,-6)
D)(-6,-4)
E)(-1,-3)
A)(3,-1)
B)(4,-6)
C)(-4,-6)
D)(-6,-4)
E)(-1,-3)
Question
Solve the system of equations by graphing. 
A)(11,-4)
B)(-3,-8)
C)(3,8)
D)(-5,12)
E)(8,3)
A)(11,-4)
B)(-3,-8)
C)(3,8)
D)(-5,12)
E)(8,3)
Question
Solve the system by the method of substitution. 
A)(5,-13), (-4,-22)
B)No real solution
C)(5,-17), (-4,-26)
D)(5,27), (-4,18)
E)(5,-13)
A)(5,-13), (-4,-22)
B)No real solution
C)(5,-17), (-4,-26)
D)(5,27), (-4,18)
E)(5,-13)
Question
Solve the system by substitution,if possible. 
A)(9,-6)
B)(1,8)
C)(-6,9)
D)(-7,10)
E)No solutions
A)(9,-6)
B)(1,8)
C)(-6,9)
D)(-7,10)
E)No solutions
Question
Solve the system by the method of substitution. 
A)(3,4)
B)(0,3)
C)(3,4), (-3,-4)
D)No real solution
E)(0,0)
A)(3,4)
B)(0,3)
C)(3,4), (-3,-4)
D)No real solution
E)(0,0)
Question
Solve the system by the method of substitution. 
A)(-1,-3)
B)(-3,1)
C)(1,-3)
D)(3,1)
E)(1,3)
A)(-1,-3)
B)(-3,1)
C)(1,-3)
D)(3,1)
E)(1,3)
Question
Solve the system. 
A)x = 3,y = 7
B)x = 4,y = 3
C)
D)x = 2,y = 3
E)No solution
A)x = 3,y = 7
B)x = 4,y = 3
C)
D)x = 2,y = 3
E)No solution
Question
Determine which ordered pair is a solution of the system. 
A)(-3,1)
B)(-8,7)
C)(-1,3)
D)(-3,-1)
E)(-8,8)
A)(-3,1)
B)(-8,7)
C)(-1,3)
D)(-3,-1)
E)(-8,8)
Question
Solve the system of equations by graphing. 
A)(-2,1)
B)(-1,1)
C)(0,2)
D)(1,-1)
E)(3,5)
A)(-2,1)
B)(-1,1)
C)(0,2)
D)(1,-1)
E)(3,5)
Question
Use a graphing utility to solve the system of equations.Find the solution accurate to two decimal places. 
A)(0.13,1.76)
B)(- 1.40,0.49)and (- 0.25,1.56)
C)no real solution
D)(4.77,0.07)
E)(2.44,0.17)
A)(0.13,1.76)
B)(- 1.40,0.49)and (- 0.25,1.56)
C)no real solution
D)(4.77,0.07)
E)(2.44,0.17)
Question
The sales of various types of lawn and garden tools vary according to the season.At a certain home improvement store,the monthly sales H of garden hoes (hoes sold per month)decline from July to October whereas the monthly sales of lawn rakes R (rakes sold per month)increase during this same interval.The sales of these two items during the calendar months July-October are modeled by the equations: 
where t is the month (t = 7 corresponds to July).In which month does the number of rakes sold equal the number of hoes sold?
A)September
B)July
C)November
D)October
E)August
where t is the month (t = 7 corresponds to July).In which month does the number of rakes sold equal the number of hoes sold?
A)September
B)July
C)November
D)October
E)August
Question
Solve the system by substitution,if possible. 
A)(11,-2)
B)(7,4)
C)(-3,12)
D)(4,7)
E)No solutions
A)(11,-2)
B)(7,4)
C)(-3,12)
D)(4,7)
E)No solutions
Question
Solve the system by substitution,if possible. 
A)(6,5)
B)(4,7)
C)(-5,-1)
D)(2,5)
E)No solution;inconsistent system
A)(6,5)
B)(4,7)
C)(-5,-1)
D)(2,5)
E)No solution;inconsistent system
Question
Solve the system of equations by graphing. 
A)(-6,5)
B)(3,- 5)
C)(5,6)
D)(2,6)
E)(5,3)
A)(-6,5)
B)(3,- 5)
C)(5,6)
D)(2,6)
E)(5,3)
Question
Solve the system by the method of substitution. 
A)(2,-12), (1,-5)
B)(5,-21), (2,-12), (0,4)
C)(5,-21), (-1,15)
D)No real solution
E)(5,-21), (-2,28), (1,-5)
A)(2,-12), (1,-5)
B)(5,-21), (2,-12), (0,4)
C)(5,-21), (-1,15)
D)No real solution
E)(5,-21), (-2,28), (1,-5)
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Deck 41: Linear and Nonlinear Systems of Equations
1
Solve the system by the method of substitution.Check your solution(s)graphically.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
2
Select the ordered pair that is a solution of the system of equations.
A)
B)(10,2)
C)(10,28)
D)
E)(2,10)
A)
B)(10,2)
C)(10,28)
D)
E)(2,10)
(10,2)
3
Solve the system graphically.
A)(8,-8), (8,8)
B)(-8,-8), (-8,8)
C)(-6,-7), (6,7)
D)(8,7), (8,8)
E)(6,7), (6,-7)
A)(8,-8), (8,8)
B)(-8,-8), (-8,8)
C)(-6,-7), (6,7)
D)(8,7), (8,8)
E)(6,7), (6,-7)
(6,7), (6,-7)
4
Solve the system by the method of substitution.Check your solution(s)graphically.
A)(-5,-5)
B)(3,3)
C)(5,5)
D)(-3,-3)
E)(5,3)
A)(-5,-5)
B)(3,3)
C)(5,5)
D)(-3,-3)
E)(5,3)
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5
Solve the system graphically.
A)(5,5)
B)(3,3)
C)(-5,-5)
D)(-3,-3)
E)(5,3)
A)(5,5)
B)(3,3)
C)(-5,-5)
D)(-3,-3)
E)(5,3)
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6
Solve the system by the method of substitution.
A)(7,3)
B)(7,-3)
C)(-8,-4)
D)(-7,3)
E)(8,4)
A)(7,3)
B)(7,-3)
C)(-8,-4)
D)(-7,3)
E)(8,4)
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7
Solve the system by the method of substitution.
A)(3,3)
B)
C)
D)
E)(-3,-3)
A)(3,3)
B)
C)
D)
E)(-3,-3)
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8
Solve the system by the method of substitution.
A)(-3,3)
B)(3,3)
C)(-3,-3)
D)(-5,-5)
E)(5,5)
A)(-3,3)
B)(3,3)
C)(-3,-3)
D)(-5,-5)
E)(5,5)
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9
Solve the system graphically.
A)(-8,-7)
B)(-7,-6)
C)(7,6)
D)(7,7)
E)(8,7)
A)(-8,-7)
B)(-7,-6)
C)(7,6)
D)(7,7)
E)(8,7)
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10
Solve the system by the method of substitution.
A)
B)(1,3)
C)
D)
E)(-1,3)
A)
B)(1,3)
C)
D)
E)(-1,3)
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11
Select the ordered pair that is a solution of the system of equations.
A)(1,13)
B)(13,-1)
C)(-1,-13)
D)(1,-13)
E)(13,1)
A)(1,13)
B)(13,-1)
C)(-1,-13)
D)(1,-13)
E)(13,1)
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12
Solve the system by the method of substitution.Check your solution(s)graphically.
A)(0,4), (0,-8)
B)(0,0), (4,8)
C)(0,0), (-4,-8)
D)(4,0), (0,-8)
E)(0,0), (4,-8)
A)(0,4), (0,-8)
B)(0,0), (4,8)
C)(0,0), (-4,-8)
D)(4,0), (0,-8)
E)(0,0), (4,-8)
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13
Use a graphing utility to solve the system of equations.Find the solution(s)accurate to two decimal places.
A) (-4,1)
B) (0,4)
C) (0,-4)
D) (4,4)
E) (-4,1)
A)
(-4,1)B)
(0,4)C)
(0,-4)D)
(4,4)E)
(-4,1) Unlock Deck
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14
Select the ordered pair that is a solution of the system of equations.
A)(-6, )
B)(3,6)
C)( ,-6)
D)( ,6)
E)(-3,-6)
A)(-6,
)B)(3,6)
C)(
,-6)D)(
,6)E)(-3,-6)
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15
Solve the system graphically.
A)(6,3)
B)(-4,-3)
C)(4,3)
D)(6,6)
E)(-6,-6)
A)(6,3)
B)(-4,-3)
C)(4,3)
D)(6,6)
E)(-6,-6)
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16
Solve the system graphically.
A)(-7,-5)
B)(9,-9)
C)(7,5)
D)(9,5)
E)(-9,-9)
A)(-7,-5)
B)(9,-9)
C)(7,5)
D)(9,5)
E)(-9,-9)
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17
Solve the system by the method of substitution.Check your solution(s)graphically.
A)(3,6), (1,-2)
B)(5,5), (1,-2)
C)(6,3), (-3,6)
D)(3,6), (-2,1)
E)(5,5), (-2,1)
A)(3,6), (1,-2)
B)(5,5), (1,-2)
C)(6,3), (-3,6)
D)(3,6), (-2,1)
E)(5,5), (-2,1)
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18
Solve the system by the method of substitution.Check your solution(s)graphically.
A)(-5,2)
B)(-3,-2)
C)(-5,-2)
D)(-3,-3)
E)(-3,2)
A)(-5,2)
B)(-3,-2)
C)(-5,-2)
D)(-3,-3)
E)(-3,2)
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19
Select the ordered pair that is a solution of the system of equations.
A)(0,-6)
B)(0,6)
C)
D)
E)(-6,0)
A)(0,-6)
B)(0,6)
C)
D)
E)(-6,0)
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20
Solve the system by the method of substitution.
A)No solution
B)(6,3)
C)(-5,-3)
D)(5,4)
E)(-5,-4)
A)No solution
B)(6,3)
C)(-5,-3)
D)(5,4)
E)(-5,-4)
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21
The weekly rentals for a newly released DVD of an animated film at a local video store decreased each week.At the same time,the weekly rentals for a newly released DVD of a horror film increased each week.Models that approximate the weekly rentals R for each DVD are where x represents the number of weeks each DVD was in the store,with x = 1 corresponding to the first week.After how many weeks will the rentals for the two movies be equal?
A)10 weeks
B)6 weeks
C)4 weeks
D)12 weeks
E)8 weeks
where x represents the number of weeks each DVD was in the store,with x = 1 corresponding to the first week.After how many weeks will the rentals for the two movies be equal?
A)10 weeks
B)6 weeks
C)4 weeks
D)12 weeks
E)8 weeks
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22
Solve the system graphically or algebraically.Find the solution(s)accurate to three decimal places.
A)(3.752,0.287)
B)(0.387,3.852)
C)(0.287,3.752)
D)(0.287,3.852)
E)(3.852,0.387)
A)(3.752,0.287)
B)(0.387,3.852)
C)(0.287,3.752)
D)(0.287,3.852)
E)(3.852,0.387)
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23
Find the dimensions of the rectangle meeting the specified condition.
The perimeter is 352 centimeters and the length is 4 centimeters greater than the width.
A)90 cm × 90 cm
B)90 cm × 86 cm
C)92 cm × 88 cm
D)94 cm × 90 cm
E)92 cm × 86 cm
The perimeter is 352 centimeters and the length is 4 centimeters greater than the width.
A)90 cm × 90 cm
B)90 cm × 86 cm
C)92 cm × 88 cm
D)94 cm × 90 cm
E)92 cm × 86 cm
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24
Solve the system graphically.
A)(-3,-5)
B)(-5,3)
C)
D)
E)
A)(-3,-5)
B)(-5,3)
C)
D)
E)
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25
Solve the system graphically.
A)(2,0)
B)(2,-4)
C)(0,-2)
D)(2,-2)
E)(4,-2)
A)(2,0)
B)(2,-4)
C)(0,-2)
D)(2,-2)
E)(4,-2)
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26
What are the dimensions of a rectangular tract of land if its perimeter is 50 kilometers and its area is 150 square kilometers?
A)14 km × 19 km
B)10 km × 19 km
C)12 km × 15 km
D)10 km × 15 km
E)12 km × 17 km
A)14 km × 19 km
B)10 km × 19 km
C)12 km × 15 km
D)10 km × 15 km
E)12 km × 17 km
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27
Solve the system by the method of substitution.
A)(-20,-40)
B)No solution
C)(20,40)
D)
E)
A)(-20,-40)
B)No solution
C)(20,40)
D)
E)
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28
What are the dimensions of an isosceles right triangle with a four-inch hypotenuse and an area of 4 square inches?
A) in.× in.× 4 in.
B) in.× in.× 4 in.
C) in.× in.× 4 in.
D) in.× in.× 4 in.
E) in.× in.× 4 in.
A)
in.× in.× 4 in.B)
in.× in.× 4 in.C)
in.× in.× 4 in.D)
in.× in.× 4 in.E)
in.× in.× 4 in. Unlock Deck
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29
Find the dimensions of the rectangle meeting the specified condition.
The perimeter is 36 meters and the length is 4 meters greater than the width.
A)13 m × 7 m
B)13 m × 9 m
C)11 m × 7 m
D)15 m × 11 m
E)11 m × 11 m
The perimeter is 36 meters and the length is 4 meters greater than the width.
A)13 m × 7 m
B)13 m × 9 m
C)11 m × 7 m
D)15 m × 11 m
E)11 m × 11 m
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30
Find the dimensions of the rectangle meeting the specified condition.
The perimeter is 70 inches and the width is three-fourths the length.
A)22 in × 15 in
B)24 in × 19 in
C)22 in × 17 in
D)20 in × 19 in
E)20 in × 15 in
The perimeter is 70 inches and the width is three-fourths the length.
A)22 in × 15 in
B)24 in × 19 in
C)22 in × 17 in
D)20 in × 19 in
E)20 in × 15 in
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31
Solve the system by the method of substitution.
A)(0,0)
B)( , )
C)( ,- )
D)(- , )
E)(- ,- )
A)(0,0)
B)(
, )C)(
,- )D)(-
, )E)(-
,- ) Unlock Deck
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32
Solve the system by the method of substitution.
A)
B)
C)
D)No solution
E)
A)
B)
C)
D)No solution
E)
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33
A small software company invests $24,425 to produce a software package that will sell for $70.Each unit can be produced for $45.84.How many units must be sold to break even?
A)911 units
B)811 units
C)1211 units
D)1011 units
E)1111 units
A)911 units
B)811 units
C)1211 units
D)1011 units
E)1111 units
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34
The total weekly sales for a newly released portable media player (PMP)increased each week.At the same time,the total weekly sales for another newly released PMP decreased each week.Models that approximate the total weekly sales S (in thousands of units)for each PMP are where x represents the number of weeks each PMP was in stores,with x = 0 corresponding to the PMP sales on the day each PMP was first released in stores.After how many weeks will the sales for the two PMPs be equal?
A)11 weeks
B)9 weeks
C)7 weeks
D)3 weeks
E)5 weeks
where x represents the number of weeks each PMP was in stores,with x = 0 corresponding to the PMP sales on the day each PMP was first released in stores.After how many weeks will the sales for the two PMPs be equal?
A)11 weeks
B)9 weeks
C)7 weeks
D)3 weeks
E)5 weeks
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35
Solve the system by the method of substitution.
A)
B)(25,38)
C)
D)
E)(-25,-38)
A)
B)(25,38)
C)
D)
E)(-25,-38)
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36
Find the sales necessary to break even (R = C)for the cost C of producing x units and the revenue R obtained by selling x units.(Round to the nearest whole unit. )
A)2,937 units
B)3,137 units
C)3,037 units
D)3,337 units
E)3,237 units
A)2,937 units
B)3,137 units
C)3,037 units
D)3,337 units
E)3,237 units
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37
Find the dimensions of the rectangle meeting the specified condition.
The perimeter is 528 feet and the length is times the width.
A)216 ft × 52 ft
B)216 ft × 48 ft
C)220 ft × 52 ft
D)218 ft × 48 ft
E)218 ft × 50 ft
The perimeter is 528 feet and the length is
times the width.
A)216 ft × 52 ft
B)216 ft × 48 ft
C)220 ft × 52 ft
D)218 ft × 48 ft
E)218 ft × 50 ft
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38
Find the sales necessary to break even (R = C)for the cost C of producing x units and the revenue R obtained by selling x units.(Round to the nearest whole unit. )
C = 8630x + 264,000,R = 9950x
A)100 units
B)300 units
C)0 unit
D)400 units
E)200 units
C = 8630x + 264,000,R = 9950x
A)100 units
B)300 units
C)0 unit
D)400 units
E)200 units
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39
Find the dimensions of the rectangle meeting the specified condition.
The perimeter is 30.6 millimeters and the length is 2.4 times the width.
A)10.8 mm × 8.5 mm
B)12.8 mm × 4.5 mm
C)10.8 mm × 4.5 mm
D)14.8 mm × 8.5 mm
E)12.8 mm × 6.5 mm
The perimeter is 30.6 millimeters and the length is 2.4 times the width.
A)10.8 mm × 8.5 mm
B)12.8 mm × 4.5 mm
C)10.8 mm × 4.5 mm
D)14.8 mm × 8.5 mm
E)12.8 mm × 6.5 mm
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40
A small fast-food restaurant invests $5,951 to produce a new food item that will sell for $3.81.Each unit can be produced for $2.50.How many items must be sold to break even?
A)4543 items
B)4743 items
C)4343 items
D)4643 items
E)4443 items
A)4543 items
B)4743 items
C)4343 items
D)4643 items
E)4443 items
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41
Solve the system by substitution,if possible.
A)(4,3)
B)(16,14)
C)(- 4,- 3)
D)(-11,106)
E)(- 16,- 14)
A)(4,3)
B)(16,14)
C)(- 4,- 3)
D)(-11,106)
E)(- 16,- 14)
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42
Find the dimensions of the rectangle meeting the specified conditions. The perimeter is 48 meters and the length is 2 meters more than the width.
A)13 m × 11 m
B)16 m × 14 m
C)16 m × 8 m
D)17 m × 15 m
E)12 m × 12 m
A)13 m × 11 m
B)16 m × 14 m
C)16 m × 8 m
D)17 m × 15 m
E)12 m × 12 m
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43
Find the sales necessary to break even (R - C = 0)for the cost C of producing x units and the revenue R obtained by selling x units.(Round to the nearest whole unit. )
A)No real solution
B)387 units
C)355 units
D)377 units
E)355 units or 387 units
A)No real solution
B)387 units
C)355 units
D)377 units
E)355 units or 387 units
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44
Determine which ordered pair is a solution of the system.
A)(3,-1)
B)(4,-6)
C)(-4,-6)
D)(-6,-4)
E)(-1,-3)
A)(3,-1)
B)(4,-6)
C)(-4,-6)
D)(-6,-4)
E)(-1,-3)
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45
Solve the system of equations by graphing.
A)(11,-4)
B)(-3,-8)
C)(3,8)
D)(-5,12)
E)(8,3)
A)(11,-4)
B)(-3,-8)
C)(3,8)
D)(-5,12)
E)(8,3)
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46
Solve the system by the method of substitution.
A)(5,-13), (-4,-22)
B)No real solution
C)(5,-17), (-4,-26)
D)(5,27), (-4,18)
E)(5,-13)
A)(5,-13), (-4,-22)
B)No real solution
C)(5,-17), (-4,-26)
D)(5,27), (-4,18)
E)(5,-13)
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47
Solve the system by substitution,if possible.
A)(9,-6)
B)(1,8)
C)(-6,9)
D)(-7,10)
E)No solutions
A)(9,-6)
B)(1,8)
C)(-6,9)
D)(-7,10)
E)No solutions
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48
Solve the system by the method of substitution.
A)(3,4)
B)(0,3)
C)(3,4), (-3,-4)
D)No real solution
E)(0,0)
A)(3,4)
B)(0,3)
C)(3,4), (-3,-4)
D)No real solution
E)(0,0)
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49
Solve the system by the method of substitution.
A)(-1,-3)
B)(-3,1)
C)(1,-3)
D)(3,1)
E)(1,3)
A)(-1,-3)
B)(-3,1)
C)(1,-3)
D)(3,1)
E)(1,3)
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50
Solve the system.
A)x = 3,y = 7
B)x = 4,y = 3
C)
D)x = 2,y = 3
E)No solution
A)x = 3,y = 7
B)x = 4,y = 3
C)
D)x = 2,y = 3
E)No solution
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51
Determine which ordered pair is a solution of the system.
A)(-3,1)
B)(-8,7)
C)(-1,3)
D)(-3,-1)
E)(-8,8)
A)(-3,1)
B)(-8,7)
C)(-1,3)
D)(-3,-1)
E)(-8,8)
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52
Solve the system of equations by graphing.
A)(-2,1)
B)(-1,1)
C)(0,2)
D)(1,-1)
E)(3,5)
A)(-2,1)
B)(-1,1)
C)(0,2)
D)(1,-1)
E)(3,5)
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53
Use a graphing utility to solve the system of equations.Find the solution accurate to two decimal places.
A)(0.13,1.76)
B)(- 1.40,0.49)and (- 0.25,1.56)
C)no real solution
D)(4.77,0.07)
E)(2.44,0.17)
A)(0.13,1.76)
B)(- 1.40,0.49)and (- 0.25,1.56)
C)no real solution
D)(4.77,0.07)
E)(2.44,0.17)
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54
The sales of various types of lawn and garden tools vary according to the season.At a certain home improvement store,the monthly sales H of garden hoes (hoes sold per month)decline from July to October whereas the monthly sales of lawn rakes R (rakes sold per month)increase during this same interval.The sales of these two items during the calendar months July-October are modeled by the equations: where t is the month (t = 7 corresponds to July).In which month does the number of rakes sold equal the number of hoes sold?
A)September
B)July
C)November
D)October
E)August
where t is the month (t = 7 corresponds to July).In which month does the number of rakes sold equal the number of hoes sold?
A)September
B)July
C)November
D)October
E)August
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55
Solve the system by substitution,if possible.
A)(11,-2)
B)(7,4)
C)(-3,12)
D)(4,7)
E)No solutions
A)(11,-2)
B)(7,4)
C)(-3,12)
D)(4,7)
E)No solutions
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56
Solve the system by substitution,if possible.
A)(6,5)
B)(4,7)
C)(-5,-1)
D)(2,5)
E)No solution;inconsistent system
A)(6,5)
B)(4,7)
C)(-5,-1)
D)(2,5)
E)No solution;inconsistent system
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57
Solve the system of equations by graphing.
A)(-6,5)
B)(3,- 5)
C)(5,6)
D)(2,6)
E)(5,3)
A)(-6,5)
B)(3,- 5)
C)(5,6)
D)(2,6)
E)(5,3)
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58
Solve the system by the method of substitution.
A)(2,-12), (1,-5)
B)(5,-21), (2,-12), (0,4)
C)(5,-21), (-1,15)
D)No real solution
E)(5,-21), (-2,28), (1,-5)
A)(2,-12), (1,-5)
B)(5,-21), (2,-12), (0,4)
C)(5,-21), (-1,15)
D)No real solution
E)(5,-21), (-2,28), (1,-5)
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Unlock Deck
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