week 2 quiz Solve the system of equations by elimination, calculus homework help

QUESTION 1

1. Solve the system of equations by elimination.

   
   

   		x = 16, y = ;
   		x = -16, y = – ;
   		x = 18, y = ;
   		x = -18, y = – ;

4 points

QUESTION 2

1. Solve the system of equations by substitution.

   
   

   		x = 10, y = 0; (10, 0)
   		x = 10, y = 10; (10, 10)
   		x = 0, y = 10; (0, 10)
   		x = 0, y = 0; (0, 10)

4 points

QUESTION 3

1. Solve the problem.

   The Paperback Trader is a book store that takes in used paperbacks for 20% of their cover price and sells them for 50% of their cover price. Pat brings in a stack of 16 paperback books to trade and gets $17.50 credit. Some of the books had a cover price of $7.97, the rest $3.97. She wants to get some Tom Clancy books having a cover price of $7.97. How many $7.97 books did she bring in and how many Clancy books can she get without paying any additional cash?

   		10 $7.97 books, 2 Clancy books
   		6 $7.97 books, 5 Clancy books
   		6 $7.97 books, 4 Clancy books
   		6 $7.97 books, 2 Clancy books

4 points

QUESTION 4

1. Solve the system of equations. If the system has no solution, say that it is inconsistent.

   
   

   		x = -8, y = -4; (-8, -4)
   		x = 0, y = -12; (0, -12)
   		x = 0, y = 0; (0, 0)
   		inconsistent

4 points

QUESTION 5

1. Solve the system of equations. If the system has no solution, say that it is inconsistent.

   
   

   		x = 6, y = 12; (6, 12)
   		x = , y = – ;
   		x = 4, y = 2; (4, 2)
   		inconsistent

4 points

QUESTION 6

1. Solve the system of equations by substitution.

   
   

   		x = 100, y = 27; (100, 27)
   		x = 100, y = -27; (100, -27)
   		x = -100, y = -27; (-100, -27)
   		x = -100, y = 27; (-100, 27)

4 points

QUESTION 7

1. Solve the system of equations by substitution.

   
   

   		x = 5, y = 2; (5, 2)
   		x = -5, y = 2; (-5, 2)
   		x = -5, y = -2; ( -5, -2)
   		x = 5, y = -2; (5, -2)

4 points

QUESTION 8

1. Solve the system of equations by elimination.

   
   

   		x = 11, y = -11; (11, -11)
   		x = -5, y = 5; (-5, 5)
   		x = -6, y = 5; (-6, 5)
   		x = 5, y = -5; (5, -5)

4 points

QUESTION 9

1. Solve the system of equations. If the system has no solution, say that it is inconsistent.

   
   

   		x = 4, y = 4; (4, 4)
   		x = 2, y = 3; (2, 3)
   		x = , y = – ; (, – )
   		inconsistent

4 points

QUESTION 10

1. Solve the system of equations by elimination.

   

   		x = -4, y = 0; (-4, 0)
   		x = 0, y = -4; (0, -4)
   		x = 0, y = 4; (0, 4)
   		x = 4, y = 0; (4, 0)

4 points

QUESTION 11

1. Solve the system of equations. If the system has no solution, say that it is inconsistent.

   
   

   		x = 2, y = 3; (2, 3)
   		x = 4, y = 2; (4, 2)
   		x = 2, y = 4; (2, 4)
   		inconsistent

4 points

QUESTION 12

1. Solve the problem.

   A tour group split into two groups when waiting in line for food at a fast food counter. The first group bought 7 slices of pizza and 4 soft drinks for $31.49. The second group bought 5 slices of pizza and 6 soft drinks for $26.61. How much does one slice of pizza cost?

   		$3.75 per slice of pizza
   		$1.31 per slice of pizza
   		$1.81 per slice of pizza
   		$3.25 per slice of pizza

4 points

QUESTION 13

1. Solve the system of equations by elimination.

   
   

   		x = 10, y = 10; (10, 10)
   		x = 0, y = 10; (0, 10)
   		x = 0, y = 0; (0, 0)
   		x = 10, y = 0; (10, 0)

4 points

QUESTION 14

1. Solve the system of equations by substitution.

   
   

   		x = 3, y = -3; (3, -3)
   		x = -3, y = -3; (-3, -3)
   		x = -3, y = 3; (-3, 3)
   		x = -3, y = 0; (-3, 0)

4 points

QUESTION 15

1. Solve the system of equations. If the system has no solution, say that it is inconsistent.

   
   

   		x = -9, y = -8; (-9, -8)
   		x = , y = ;
   		x = 9, y = 2; (9, 2)
   		inconsistent

4 points

QUESTION 16

1. Solve the system of equations by elimination.

   
   

   		x = -19, y = 8; (-19, 8)
   		x = -2, y = 19; (-2, 19)
   		x = 19, y = -2; (19, -2)
   		x = -19, y = 4; (-19, 4)

4 points

QUESTION 17

1. Solve the problem.

   An 8-cylinder Crown Victoria gives 18 miles per gallon in city driving and 21 miles per gallon in highway driving. A 300-mile trip required 15.5 gallons of gasoline. How many whole miles were driven in the city?

   		132 mi
   		153 mi
   		147 mi
   		168 mi

4 points

QUESTION 18

1. Solve the system of equations by substitution.

   
   

   		x = -5, y = 2; (-5, 2)
   		x = 5, y = -2; (5, -2)
   		x = 5, y = 2; (5, 2)
   		x = -5, y = -2; (-5, -2)

4 points

QUESTION 19

1. Solve the system of equations by substitution.

   
   

   		x = -1, y = -8; (-1, -8)
   		x = 1, y = -8; (1, -8)
   		x = 1, y = 16; (1, 16)
   		x = -1, y = 8; (-1, 8)

4 points

QUESTION 20

1. Solve the problem.

   A movie theater charges $8.00 for adults and $5.00 for children. If there were 40 people altogether and the theater collected $272.00 at the end of the day, how many of them were adults?

   		24 adults
   		29 adults
   		16 adults
   		10 adults

4 points

QUESTION 21

1. Verify that the values of the variables listed are solutions of the system of equations.

   
   

   x = 4, y = 3

   		solution
   		not a solution

4 points

QUESTION 22

1. Verify that the values of the variables listed are solutions of the system of equations.

   
   

   x = -1, y = 6

   		solution
   		not a solution

4 points

QUESTION 23

1. Solve the system of equations. [Hint: Let u = and v = , and solve for u and v. Then let x = , and y = .]

   
   

   		x = – , y = ;
   		x = , y = – ;
   		x = -8, y = ;
   		x = , y = -8;

4 points

QUESTION 24

1. Solve the system of equations by substitution.

   
   

   		x = 7, y = -7; (7, -7)
   		x = -6, y = 6; (-6, 6)
   		x = 6, y = -6; (6, -6)
   		x = -7, y = 7; (-7, 7)

4 points

QUESTION 25

1. Solve the system of equations by substitution.

   
   

   		x = 4, y = 0; (4, 0)
   		x = 0, y = -4; (0, -4)
   		x = -4, y = 0; (-4, 0)
   		x = 0, y = 4; (0, 4)