Question 1

Choose the ordered pair which is a solution of the inequality.
-

Accepted Answer

A) (1, 1) 
B) (0, 1) 
C) (2, 1) 
D) (0, 0) 
A) (1, 1) 
B) (0, 1) 
C) (2, 1) 
D) (0, 0)

Question 2

Solve the system of equations by the elimination method.
--5x + 8y = 56 -3x + 4y = 28

Accepted Answer

A) (0, 8) 
B) (0, 7) 
C) (-1, 8) 
D) no solution 
A) (0, 8) 
B) (0, 7) 
C) (-1, 8) 
D) no solution

Question 3

Solve by the substitution method.
-7x + 27 = 8y 5x + 6y = -31

Accepted Answer

A) No solution 
B) (-5, 0) 
C) (-6, 0) 
D) (-5, -1) 
A) No solution 
B) (-5, 0) 
C) (-6, 0) 
D) (-5, -1)

Question 4

Solve.
-x - z = -7 3x - y = -1
X + y + z = 18

Accepted Answer

A) (-1, 7, 9) 
B) no solution 
C) (2, 3, 9) 
D) (2, 7, 9) 
A) (-1, 7, 9) 
B) no solution 
C) (2, 3, 9) 
D) (2, 7, 9)

Question 5

Classify the system as consistent or inconsistent, and dependent or independent.
-10x + 2y = -4 5x - y = -2

Accepted Answer

A) Inconsistent and dependent 
B) Consistent and dependent 
C) Consistent and independent 
D) Inconsistent and independent 
A) Inconsistent and dependent 
B) Consistent and dependent 
C) Consistent and independent 
D) Inconsistent and independent

Question 6

Solve the system of equations by the elimination method.
-x - 3y = -4 7x - 2y = -28

Accepted Answer

A) (-4, 0) 
B) (4, -1) 
C) no solution 
D) (-3, -4) 
A) (-4, 0) 
B) (4, -1) 
C) no solution 
D) (-3, -4)

Question 7

Solve the problem.
-Mrs. Boyd has a desk full of quarters and nickels. If she has a total of 13 coins with a total face value of $2.25, how many of the coins are nickels?

Accepted Answer

A) 7 nickels 
B) 8 nickels 
C) 5 nickels 
D) 13 nickels 
A) 7 nickels 
B) 8 nickels 
C) 5 nickels 
D) 13 nickels

Question 8

Solve the system of equations by the elimination method.
--2x - 4y = 6 -4x - 8y = -12

Accepted Answer

A) infinitely many solutions 
B) no solution 
C) (-12, -24) 
D) (12, 24) 
A) infinitely many solutions 
B) no solution 
C) (-12, -24) 
D) (12, 24)

Question 9

Solve the problem.
-Ron and Kathy are ticket-sellers at their class play, Ron handling student tickets that sell for $2.00 each and Kathy selling adult tickets for $6.50 each. If their total income for 22 tickets was $102.50, how many did Ron sell?

Accepted Answer

A) 13 tickets 
B) 9 tickets 
C) 18 tickets 
D) 11 tickets 
A) 13 tickets 
B) 9 tickets 
C) 18 tickets 
D) 11 tickets

Question 10

Solve the problem.
-Tim and Judy mix two kinds of feed for pedigreed dogs. They wish to make 26 pounds of feed worth $0.54 per pound by mixing one kind worth $0.34 per pound with another worth $0.99 per pound. How many pounds of
The cheaper kind should they use in the mix?

Accepted Answer

A) 13 pounds 
B) 18 pounds 
C) 8 pounds 
D) 20 pounds 
A) 13 pounds 
B) 18 pounds 
C) 8 pounds 
D) 20 pounds

Question 11

Solve the problem using the elimination method.
-In a basketball game, Will scored 36 points, consisting only of three-point shots and two-point shots. He made a total of 15 shots. How many shots of each type did he make?

Accepted Answer

A) two-point shots: 8; three-point shots: 7 
B) two-point shots: 6; three-point shots: 9 
C) two-point shots: 10; three-point shots: 5 
D) two-point shots: 9; three-point shots: 6 
A) two-point shots: 8; three-point shots: 7 
B) two-point shots: 6; three-point shots: 9 
C) two-point shots: 10; three-point shots: 5 
D) two-point shots: 9; three-point shots: 6

Question 12

Solve by the substitution method.
--7x + 7y = 21 -5x - 2y = -6

Accepted Answer

A) (0, 4) 
B) No solution 
C) (0, 3) 
D) (-1, 4) 
A) (0, 4) 
B) No solution 
C) (0, 3) 
D) (-1, 4)

Question 13

Solve the system of equations by the elimination method.
-3x - 6y = -3 -6x + 12y = 6

Accepted Answer

A) infinitely many solutions 
B) (18, -9) 
C) no solution 
D) (-9, 18) 
A) infinitely many solutions 
B) (18, -9) 
C) no solution 
D) (-9, 18)

Question 14

Solve the system of equations by the elimination method.
-

Accepted Answer

A) (0, 12) 
B) (-12, 0) 
C) (12, 0) 
D) (0, -12) 
A) (0, 12) 
B) (-12, 0) 
C) (12, 0) 
D) (0, -12)

Question 15

Solve using the substitution method.
-x + y = 1 y = -2x - 3

Accepted Answer

A) (-3, 6) 
B) (-5, 1) 
C) (-4, 5) 
D) (5, -4) 
A) (-3, 6) 
B) (-5, 1) 
C) (-4, 5) 
D) (5, -4)

Question 16

Match the inequality with a graph.
-

Accepted Answer

A)    
B)    
C)    
D)    
A)    
B)    
C)    
D)

Question 17

Match the inequality with a graph.
-

Accepted Answer

A)    
B)    
C)    
D)    
A)    
B)    
C)    
D)

Question 18

Solve.
-A plane flies 420 miles with the wind and 350 miles against the wind in the same length of time. If the speed of the wind is 27 mph, what is the speed of the plane in still air?

Accepted Answer

A) 322 mph 
B) 297 mph 
C) 287 mph 
D) 302 mph 
A) 322 mph 
B) 297 mph 
C) 287 mph 
D) 302 mph

Question 19

Solve the problem using the elimination method.
-Two angles are supplementary, and one is 5° more than six times the other. Find the larger angle.

Accepted Answer

A) 155° 
B) 110° 
C) 25° 
D) 70° 
A) 155° 
B) 110° 
C) 25° 
D) 70°

Question 20

Solve the problem.
-In a chemistry class, 3 liters of a 4% silver iodide solution must be mixed with a 10% solution to get a 6% solution. How many liters of the 10% solution are needed?

Accepted Answer

A) 3.0 L 
B) 2.5 L 
C) 0.5 L 
D) 1.5 L 
A) 3.0 L 
B) 2.5 L 
C) 0.5 L 
D) 1.5 L

Choose the ordered pair which is a solution of the inequality. -

Solve the system of equations by the elimination method. --5x + 8y = 56 -3x + 4y = 28

Solve by the substitution method. -7x + 27 = 8y 5x + 6y = -31

Solve. -x - z = -7 3x - y = -1 X + y + z = 18

Classify the system as consistent or inconsistent, and dependent or independent. -10x + 2y = -4 5x - y = -2

Solve the system of equations by the elimination method. -x - 3y = -4 7x - 2y = -28

Solve the problem. -Mrs. Boyd has a desk full of quarters and nickels. If she has a total of 13 coins with a total face value of $2.25, how many of the coins are nickels?

Solve the system of equations by the elimination method. --2x - 4y = 6 -4x - 8y = -12

Solve the problem. -Ron and Kathy are ticket-sellers at their class play, Ron handling student tickets that sell for $2.00 each and Kathy selling adult tickets for $6.50 each. If their total income for 22 tickets was $102.50, how many did Ron sell?

Solve the problem. -Tim and Judy mix two kinds of feed for pedigreed dogs. They wish to make 26 pounds of feed worth $0.54 per pound by mixing one kind worth $0.34 per pound with another worth $0.99 per pound. How many pounds of The cheaper kind should they use in the mix?

Solve the problem using the elimination method. -In a basketball game, Will scored 36 points, consisting only of three-point shots and two-point shots. He made a total of 15 shots. How many shots of each type did he make?

Solve by the substitution method. --7x + 7y = 21 -5x - 2y = -6

Solve the system of equations by the elimination method. -3x - 6y = -3 -6x + 12y = 6

Solve the system of equations by the elimination method. -

Solve using the substitution method. -x + y = 1 y = -2x - 3

Match the inequality with a graph. -

Match the inequality with a graph. -

Solve. -A plane flies 420 miles with the wind and 350 miles against the wind in the same length of time. If the speed of the wind is 27 mph, what is the speed of the plane in still air?

Solve the problem using the elimination method. -Two angles are supplementary, and one is 5° more than six times the other. Find the larger angle.

Solve the problem. -In a chemistry class, 3 liters of a 4% silver iodide solution must be mixed with a 10% solution to get a 6% solution. How many liters of the 10% solution are needed?

Solving Linear Equations and Inequalities

Graphs, Functions, and Applications

Polynomials and Polynomial Functions

Rational Expressions, Equations, and Functions

Radical Expressions, Equations, and Functions

Quadratic Equations and Functions

Exponential Functions and Logarithmic Functions

Conic Sections

Filters

Exam 3: Systems of Equations

Choose the ordered pair which is a solution of the inequality. -

Solve the system of equations by the elimination method. --5x + 8y = 56 -3x + 4y = 28

Solve by the substitution method. -7x + 27 = 8y 5x + 6y = -31

Solve. -x - z = -7 3x - y = -1 X + y + z = 18

Classify the system as consistent or inconsistent, and dependent or independent. -10x + 2y = -4 5x - y = -2

Solve the system of equations by the elimination method. -x - 3y = -4 7x - 2y = -28

Solve the problem. -Mrs. Boyd has a desk full of quarters and nickels. If she has a total of 13 coins with a total face value of $2.25, how many of the coins are nickels?

Solve the system of equations by the elimination method. --2x - 4y = 6 -4x - 8y = -12

Solve the problem. -Ron and Kathy are ticket-sellers at their class play, Ron handling student tickets that sell for $2.00 each and Kathy selling adult tickets for $6.50 each. If their total income for 22 tickets was $102.50, how many did Ron sell?

Solve the problem. -Tim and Judy mix two kinds of feed for pedigreed dogs. They wish to make 26 pounds of feed worth $0.54 per pound by mixing one kind worth $0.34 per pound with another worth $0.99 per pound. How many pounds of The cheaper kind should they use in the mix?

Solve the problem using the elimination method. -In a basketball game, Will scored 36 points, consisting only of three-point shots and two-point shots. He made a total of 15 shots. How many shots of each type did he make?

Solve by the substitution method. --7x + 7y = 21 -5x - 2y = -6

Solve the system of equations by the elimination method. -3x - 6y = -3 -6x + 12y = 6

Solve the system of equations by the elimination method. -

Solve using the substitution method. -x + y = 1 y = -2x - 3

Match the inequality with a graph. -

Match the inequality with a graph. -

Solve. -A plane flies 420 miles with the wind and 350 miles against the wind in the same length of time. If the speed of the wind is 27 mph, what is the speed of the plane in still air?

Solve the problem using the elimination method. -Two angles are supplementary, and one is 5° more than six times the other. Find the larger angle.

Solve the problem. -In a chemistry class, 3 liters of a 4% silver iodide solution must be mixed with a 10% solution to get a 6% solution. How many liters of the 10% solution are needed?

Solving Linear Equations and Inequalities

Graphs, Functions, and Applications

Polynomials and Polynomial Functions

Rational Expressions, Equations, and Functions

Radical Expressions, Equations, and Functions

Quadratic Equations and Functions

Exponential Functions and Logarithmic Functions

Conic Sections

Filters