QUESTION 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
QUESTION 2
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
QUESTION 3
Solve the system of equations by elimination.
x = 5, y = -5; (5, -5)
x = -5, y = 5; (-5, 5)
x = 11, y = -11; (11, -11)
x = -6, y = 5; (-6, 5)
QUESTION 4
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, 2 Clancy books
6 $7.97 books, 4 Clancy books
6 $7.97 books, 5 Clancy books
QUESTION 5
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
QUESTION 6
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?
147 mi
168 mi
153 mi
132 mi
QUESTION 7
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
$3.25 per slice of pizza
$1.81 per slice of pizza
$1.31 per slice of pizza
QUESTION 8
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)
QUESTION 9
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
QUESTION 10
Solve the system of equations by elimination.
x = 0, y = 10; (0, 10)
x = 0, y = 0; (0, 0)
x = 10, y = 0; (10, 0)
x = 10, y = 10; (10, 10)
QUESTION 11
Solve the system of equations. [Hint: Let u = and v = , and solve for u and v. Then let x = , and y = .]
x = -8, y = ;
x = , y = -8;
x = , y = - ;
x = - , y = ;
QUESTION 12
Solve the system of equations by substitution.
x = 6, y = -6; (6, -6)
x = -7, y = 7; (-7, 7)
x = 7, y = -7; (7, -7)
x = -6, y = 6; (-6, 6)
QUESTION 13
Solve the system of equations by elimination.
x = 0, y = 4; (0, 4)
x = 4, y = 0; (4, 0)
x = 0, y = -4; (0, -4)
x = -4, y = 0; (-4, 0)
QUESTION 14
Solve the system of equations by elimination.
x = -16, y = - ;
x = 18, y = ;
x = -18, y = - ;
x = 16, y = ;
QUESTION 15
Solve the system of equations by substitution.
x = 10, y = 0; (10, 0)
x = 0, y = 10; (0, 10)
x = 10, y = 10; (10, 10)
x = 0, y = 0; (0, 10)
QUESTION 16
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)
QUESTION 17
Verify that the values of the variables listed are solutions of the system of equations.
x = -1, y = 6
solution
not a solution
QUESTION 18
Solve the system of equations by substitution.
x = 0, y = 4; (0, 4)
x = 0, y = -4; (0, -4)
x = -4, y = 0; (-4, 0)
x = 4, y = 0; (4, 0)
QUESTION 19
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?
10 adults
16 adults
29 adults
24 adults
QUESTION 20
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)
QUESTION 21
Solve the system of equations by substitution.
x = 1, y = -8; (1, -8)
x = -1, y = 8; (-1, 8)
x = -1, y = -8; (-1, -8)
x = 1, y = 16; (1, 16)
QUESTION 22
Solve the system of equations by elimination.
x = 19, y = -2; (19, -2)
x = -19, y = 4; (-19, 4)
x = -2, y = 19; (-2, 19)
x = -19, y = 8; (-19, 8)
QUESTION 23
Solve the system of equations by substitution.
x = -3, y = 0; (-3, 0)
x = -3, y = -3; (-3, -3)
x = -3, y = 3; (-3, 3)
x = 3, y = -3; (3, -3)
QUESTION 24
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
QUESTION 25
Verify that the values of the variables listed are solutions of the system of equations.
x = 4, y = 3
solution
not a solution
QUESTION 1
Solve the system of equations. If the system has no solution, say that it is inconsistent.
x = 4, y = 2; (4, 2)
x = 2, y = 4; (2, 4)
x = 2, y = 3; (2, 3)
inconsistent
QUESTION 2
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, 4 Clancy books
6 $7.97 books, 5 Clancy books
6 $7.97 books, 2 Clancy books
QUESTION 3
Solve the system of equations by elimination.
x = -3, y = 10; (-3, 10)
x = -10, y = 3; (-10, 3)
x = 3, y = -10; (3, -10)
x = 10, y = -3; (10, -3)
QUESTION 4
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
147 mi
153 mi
168 mi
QUESTION 5
Solve the system of equations by substitution.
x = 7, y = 12; (7, 12)
x = 12, y = -2; (12, -2)
x = 3, y = 7; (3, 7)
x = -2, y = 3; (-2, 3)
QUESTION 6
Solve the system of equations by elimination.
x = 3, y = 8; (3, 8)
x = 3, y = -11; (3, -11)
x = 8, y = -11; (8, -11)
x = 8, y = 11; (8, 11)
QUESTION 7
Solve the system of equations by substitution.
x = 2, y = 11; (2, 11)
x = 9, y = -11; (9, -11)
x = 9, y = 2; (9, 2)
x = 2, y = -11; (2, -11)
QUESTION 8
Solve the system of equations. If the system has no solution, say that it is inconsistent.
x = -4y + 5, where y is any real number
or {(x, y) |x = -4y + 5, where y is any real number}
y = -4x + 5, where x is any real number
or {(x, y) | y = -4x + 5, where x is any real number}
y = 4x + 5, where x is any real number
or {(x, y) | y = 4x + 5, where x is any real number}
inconsistent
QUESTION 9
Solve the system of equations by elimination.
x = 1, y = 1; (1, 1)
x = 0, y = 0; (0, 0)
x = 0, y = 1; (0, 1)
x = 1, y = 0; (1, 0)
QUESTION 10
Solve the system of equations. If the system has no solution, say that it is inconsistent.
x = -8, y = 0; (-8, 0)
x = 0, y = 0; (0, 0)
y = - - 4, where x is any real number
or {(x, y) | y = - - 4, where x is any real number}
inconsistent
QUESTION 11
Solve the system of equations. If the system has no solution, say that it is inconsistent.
x = 9, y = 2; (9, 2)
x = , y = ;
x = -9, y = -8; (-9, -8)
inconsistent
QUESTION 12
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?
16 adults
24 adults
29 adults
10 adults
QUESTION 13
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
QUESTION 14
Solve the system of equations by elimination.
x = 0, y = -4; (0, -4)
x = -4, y = 0; (-4, 0)
x = 0, y = 4; (0, 4)
x = 4, y = 0; (4, 0)
QUESTION 15
Solve the system of equations by elimination.
x = -6, y = 5; (-6, 5)
x = 11, y = -11; (11, -11)
x = 5, y = -5; (5, -5)
x = -5, y = 5; (-5, 5)
QUESTION 16
Solve the system of equations by elimination.
x = -5, y = 18; (-5, 18)
x = 18, y = -5; (18, -5)
x = -18, y = 6; (-18, 6)
x = -18, y = 5; ( -18, 5)
QUESTION 17
Verify that the values of the variables listed are solutions of the system of equations.
x = -2, y = -3
solution
not a solution
QUESTION 18
Solve the system of equations by substitution.
x = 0, y = 0; (0, 10)
x = 10, y = 10; (10, 10)
x = 10, y = 0; (10, 0)
x = 0, y = 10; (0, 10)
QUESTION 19
Verify that the values of the variables listed are solutions of the system of equations.
x = -3, y = 4
solution
not a solution
QUESTION 20
Solve the system of equations by elimination.
x = 3, y = 9; (3, 9)
x = 2, y = 9; (2, 9)
x = 3, y = 8; (3, 8)
x = 2, y = 8; (2, 8)
QUESTION 21
Solve the system of equations by substitution.
x = 3, y = 8; (3, 8)
x = 2, y = 9; (2, 9)
x = 3, y = 9; (3, 9)
x = 2, y = 8; (2, 8)
QUESTION 22
Solve the system of equations. If the system has no solution, say that it is inconsistent.
x = -1, y = ;
y = - x + 12, where x is any real number
or {(x, y) | y = - x + 12, where x is any real number}
x = 0, y = 12; (0, 12)
inconsistent
QUESTION 23
Solve the system of equations by substitution.
x = 0, y = 1; (0, 1)
x = 1, y = 1; (1, 1)
x = 1, y = 0; (1, 0)
x = 0, y = 0; (0, 0)
QUESTION 24
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?
$3.25 per slice of pizza
$1.81 per slice of pizza
$3.75 per slice of pizza
$1.31 per slice of pizza
QUESTION 25
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)