Question 1

Solve the following system of equations by graphing:

Accepted Answer

A)  No solution 
B)  (2, -1)   
C)  (2, -1)   
D)  (0, 2)   
A)  No solution 
B)  (2, -1)   
C)  (2, -1)   
D)  (0, 2)   C

Question 2

Solve by the addition method:

Accepted Answer

A)  No solution 
B)  (-6,-9) 
C)  Dependent. The solutions satisfy   . 
D)  (-9,-14) 
E)  (-3, -4) 
A)  No solution 
B)  (-6,-9) 
C)  Dependent. The solutions satisfy   . 
D)  (-9,-14) 
E)  (-3, -4) E

Question 3

Graph the solution set of the following system:

Accepted Answer

A)    
B)    
C)    
D)    
E)  None of the above 
A)    
B)    
C)    
D)    
E)  None of the above D

Question 4

Rowing with the current, a canoeist paddled 14 mi in 2 h. Against the current, the canoeist could paddle only 6 mi in the same amount of time. Find the rate of the canoest in calm water and the rate of the current.

Accepted Answer

A)  Canoeist = 6 mph; current = 3 mph 
B)  Canoeist = 4 mph; current = 3 mph 
C)  Canoeist = 7 mph; current = 4 mph 
D)  Canoeist = 2 mph; current = 5 mph 
E)  Canoeist = 5 mph; current = 2 mph 
A)  Canoeist = 6 mph; current = 3 mph 
B)  Canoeist = 4 mph; current = 3 mph 
C)  Canoeist = 7 mph; current = 4 mph 
D)  Canoeist = 2 mph; current = 5 mph 
E)  Canoeist = 5 mph; current = 2 mph

Question 5

Solve by substitution:

Accepted Answer

A)  Dependent 
B)  No solution 
C)  (4, 10) 
D)  (5, 15) 
E)  (3, 5) 
A)  Dependent 
B)  No solution 
C)  (4, 10) 
D)  (5, 15) 
E)  (3, 5)

Question 6

Solve by the addition method:

Accepted Answer

A)  (-3, 5) 
B)  (1, -1) 
C)  (3, -4) 
D)  (5, -7) 
E)  (-1, 2) 
A)  (-3, 5) 
B)  (1, -1) 
C)  (3, -4) 
D)  (5, -7) 
E)  (-1, 2)

Question 7

Solve by the addition method:

Accepted Answer

A)  (6, -1) 
B)  (4, -2) 
C)  (6, -2) 
D)  (5, -2) 
E)  (5, -1) 
A)  (6, -1) 
B)  (4, -2) 
C)  (6, -2) 
D)  (5, -2) 
E)  (5, -1)

Question 8

Solve the following equations by graphing:

Accepted Answer

A)  (2, 2)   
B)  No solution 
C)  (3, 2)   
D)  (1, 0)   
A)  (2, 2)   
B)  No solution 
C)  (3, 2)   
D)  (1, 0)

Question 9

A relief organization supplies blankets, cots, and lanterns to victims of fires, floods, and other natural disasters. One week the organization purchased 10 blankets, 10 cots, and 20 lanterns for a total cost of $1800. The second week, at the same prices, the organization purchased 20 blankets, 20 cots, and 10 lanterns for a total cost of $2400. The third week, at the same prices, the organization purchased 20 blankets, 10 cots, and 10 lanterns for a total cost of $1650. Find the cost of one blanket, the cost of one cot, and the cost of one lantern.

Accepted Answer

A)  $25 per blanket; $76 per cot; $39 per lantern 
B)  $26 per blanket; $76 per cot; $39 per lantern 
C)  $25 per blanket; $75 per cot; $40 per lantern 
D)  $26 per blanket; $75 per cot; $40 per lantern 
E)  $24 per blanket; $75 per cot; $39 per lantern 
A)  $25 per blanket; $76 per cot; $39 per lantern 
B)  $26 per blanket; $76 per cot; $39 per lantern 
C)  $25 per blanket; $75 per cot; $40 per lantern 
D)  $26 per blanket; $75 per cot; $40 per lantern 
E)  $24 per blanket; $75 per cot; $39 per lantern

Question 10

Graph the solution set of the following system:

Accepted Answer

A)    
B)    
C)    
D)    
E)  None of the above 
A)    
B)    
C)    
D)    
E)  None of the above

Question 11

Solve by the addition method:

Accepted Answer

A)  (5, 7) 
B)  Dependent 
C)  No solution 
D)  (-1, 3) 
E)  (2, 5) 
A)  (5, 7) 
B)  Dependent 
C)  No solution 
D)  (-1, 3) 
E)  (2, 5)

Question 12

Solve the following equations by graphing:

Accepted Answer

A)  No solution 
B)  (3, 0)   
C)  (3, 2)   
D)  (2, 2)   
A)  No solution 
B)  (3, 0)   
C)  (3, 2)   
D)  (2, 2)

Question 13

Solve by substitution:

Accepted Answer

A)  (4, 4) 
B)  (2, -1) 
C)  Dependent 
D)  No solution 
E)  (2, 11) 
A)  (4, 4) 
B)  (2, -1) 
C)  Dependent 
D)  No solution 
E)  (2, 11)

Question 14

A baker purchased 14 lb of wheat flour and 16 lb of rye flour for a total cost of $21.72. A second purchase, at the same prices, included 14 lb of wheat flour and 13 lb of rye flour. The cost of the second purchase was $19.59. Find the cost per pound of the wheat flour and the rye flour.

Accepted Answer

A)  Wheat: $0.64; rye: $0.71 
B)  Wheat: $0.74; rye: $0.66 
C)  Wheat: $0.74; rye: $0.71 
D)  Wheat: $0.71; rye: $0.74 
E)  Wheat: $0.76; rye: $0.71 
A)  Wheat: $0.64; rye: $0.71 
B)  Wheat: $0.74; rye: $0.66 
C)  Wheat: $0.74; rye: $0.71 
D)  Wheat: $0.71; rye: $0.74 
E)  Wheat: $0.76; rye: $0.71

Question 15

Graph the solution set of the following system:

Accepted Answer

A)    
B)    
C)    
D)    
E)  None of the above 
A)    
B)    
C)    
D)    
E)  None of the above

Question 16

Solve the following system of equations by graphing:

Accepted Answer

A)  (2, 2) 
B)  (3, 0) 
C)  (1, 0) 
D)  No solution 
E)  (3, 2) 
A)  (2, 2) 
B)  (3, 0) 
C)  (1, 0) 
D)  No solution 
E)  (3, 2)

Question 17

Solve by substitution:

Accepted Answer

A)  (-4, -3) 
B)  No solution 
C)  Dependent 
D)  (-5, -6) 
E)  (-6, -9) 
A)  (-4, -3) 
B)  No solution 
C)  Dependent 
D)  (-5, -6) 
E)  (-6, -9)

Question 18

Solve by the addition method:

Accepted Answer

A)    
B)    
C)    
D)  No solution 
E)    
A)    
B)    
C)    
D)  No solution 
E)

Question 19

Solve by the addition method:

Accepted Answer

A)  (-4, 6) 
B)  No solution 
C)  (0, 2) 
D)  (8, -6) 
E)  (4, -2) 
A)  (-4, 6) 
B)  No solution 
C)  (0, 2) 
D)  (8, -6) 
E)  (4, -2)

Question 20

Solve by substitution:

Accepted Answer

A)  (0, 2) 
B)  Dependent,   
C)  (2, -8) 
D)  No solution 
E)  (1, -3) 
A)  (0, 2) 
B)  Dependent,   
C)  (2, -8) 
D)  No solution 
E)  (1, -3)

Solve the following system of equations by graphing:

Solve by the addition method:

Graph the solution set of the following system:

Rowing with the current, a canoeist paddled 14 mi in 2 h. Against the current, the canoeist could paddle only 6 mi in the same amount of time. Find the rate of the canoest in calm water and the rate of the current.

Solve by substitution:

Solve by the addition method:

Solve by the addition method:

Solve the following equations by graphing:

Graph the solution set of the following system:

Solve by the addition method:

Solve the following equations by graphing:

Solve by substitution:

A baker purchased 14 lb of wheat flour and 16 lb of rye flour for a total cost of $21.72. A second purchase, at the same prices, included 14 lb of wheat flour and 13 lb of rye flour. The cost of the second purchase was $19.59. Find the cost per pound of the wheat flour and the rye flour.

Graph the solution set of the following system:

Solve the following system of equations by graphing:

Solve by substitution:

Solve by the addition method:

Solve by the addition method:

Solve by substitution:

Real Numbers and Variable Expressions

First-Degree Equations and Inequalities

Geometry

Linear Functions and Inequalities in Two Variables

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Exam 5: Systems of Linear Equations and Inequalities

Solve the following system of equations by graphing:

Solve by the addition method:

Graph the solution set of the following system:

Rowing with the current, a canoeist paddled 14 mi in 2 h. Against the current, the canoeist could paddle only 6 mi in the same amount of time. Find the rate of the canoest in calm water and the rate of the current.

Solve by substitution:

Solve by the addition method:

Solve by the addition method:

Solve the following equations by graphing:

Graph the solution set of the following system:

Solve by the addition method:

Solve the following equations by graphing:

Solve by substitution:

A baker purchased 14 lb of wheat flour and 16 lb of rye flour for a total cost of $21.72. A second purchase, at the same prices, included 14 lb of wheat flour and 13 lb of rye flour. The cost of the second purchase was $19.59. Find the cost per pound of the wheat flour and the rye flour.

Graph the solution set of the following system:

Solve the following system of equations by graphing:

Solve by substitution:

Solve by the addition method:

Solve by the addition method:

Solve by substitution:

Real Numbers and Variable Expressions

First-Degree Equations and Inequalities

Geometry

Linear Functions and Inequalities in Two Variables

Polynomials

Factoring

Rational Expressions

Exponents and Radicals

Quadratic Equations

Functions and Relations

Exponential and Logarithmic Functions

Filters