Question 1

Classify the system as consistent or inconsistent, and dependent or independent.
-x + 5y = 19 5x - 6y = 2

Accepted Answer

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

Question 2

Solve the problem.
-Walt made an extra $10,000 last year from a part-time job. He invested part of the money at 10% and the rest at 9%. He made a total of $960 in interest. How much was invested at 9%?

Accepted Answer

A)  $8000 
B)  $5000 
C)  $6000 
D)  $4000 
A)  $8000 
B)  $5000 
C)  $6000 
D)  $4000

Question 3

Solve.
-x + y + z = 1 x - y + 3z = -13
5x + y + z = 9

Accepted Answer

A)  (-4, 2, 3) 
B)  (-4, 3, 2) 
C)  No solution 
D)  (2, 3, -4) 
A)  (-4, 2, 3) 
B)  (-4, 3, 2) 
C)  No solution 
D)  (2, 3, -4)

Question 4

Solve the problem.
-How many liters of a 20% alcohol solution must be mixed with 90 liters of a 80% solution to get a 40% solution?

Accepted Answer

A)  27 L 
B)  18 L 
C)  180 L 
D)  270 L 
A)  27 L 
B)  18 L 
C)  180 L 
D)  270 L

Question 5

Solve the problem using the elimination method.
-There were 490 people at a play. The admission price was $3 for adults and $1 for children. The admission receipts were $1070. How many adults and how many children attended?

Accepted Answer

A)  290 adults and 200 children 
B)  267 adults and 223 children 
C)  100 adults and 390 children 
D)  200 adults and 290 children 
A)  290 adults and 200 children 
B)  267 adults and 223 children 
C)  100 adults and 390 children 
D)  200 adults and 290 children

Question 6

Solve.
-An airplane travels 800 miles against the wind in 4 hours, and makes the return trip with the same wind in 2 hours. Find the rate of the wind.

Accepted Answer

A)  400 mph 
B)  200 mph 
C)  300 mph 
D)  100 mph 
A)  400 mph 
B)  200 mph 
C)  300 mph 
D)  100 mph

Question 7

Solve.
-A company makes 3 types of cable. Cable A requires 3 black, 3 white, and 2 red wires. B requires 1 black, 2 white, and 1 red. C requires 2 black, 1 white, and 2 red. They used 100 black, 110 white and 85 red wires. How Many of each cable were made?

Accepted Answer

A)  15 cable A25 cable B88 cable C 
B)  15 cable A25 cable B15 cable C 
C)  15 cable A15 cable B25 cable C 
D)  15 cable A98 cable B15 cable C 
A)  15 cable A25 cable B88 cable C 
B)  15 cable A25 cable B15 cable C 
C)  15 cable A15 cable B25 cable C 
D)  15 cable A98 cable B15 cable C

Question 8

Solve.
-A cabin cruiser travels 20 miles in the same time that a power boat travels 40 miles. The cruiser travels 5 mph slower than the power boat. Find the speed of each boat.

Accepted Answer

A)  Power boat travels 10 mph and cruiser travels 5 mph. 
B)  Power boat travels 20 mph and cruiser travels 15 mph. 
C)  Power boat travels 15 mph and cruiser travels 10 mph. 
D)  Cannot be determined with information given. 
A)  Power boat travels 10 mph and cruiser travels 5 mph. 
B)  Power boat travels 20 mph and cruiser travels 15 mph. 
C)  Power boat travels 15 mph and cruiser travels 10 mph. 
D)  Cannot be determined with information given.

Question 9

Solve.
-Candy and Delvis are riding bicycles in the same direction. Candy is traveling at the speed of 7 miles per hour, and Delvis is traveling at the speed of 4 miles per hour. In 2 hours what is the distance between them?

Accepted Answer

A)  3 miles 
B)  15 miles 
C)  6 miles 
D)  7 miles 
A)  3 miles 
B)  15 miles 
C)  6 miles 
D)  7 miles

Question 10

Classify the system as consistent or inconsistent, and dependent or independent.
-x + 6y = 17 2x + 12y = 34

Accepted Answer

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

Question 11

Solve.
-2x + y = 0 x - 3y + z = 0
3x + y - z = 0

Accepted Answer

A)  no solution 
B)  (0, 0, 0) 
C)  (0, 1, 0) 
D)  (1, 0, 0) 
A)  no solution 
B)  (0, 0, 0) 
C)  (0, 1, 0) 
D)  (1, 0, 0)

Question 12

Solve the problem.
-A merchant has coffee worth $20 a pound that she wishes to mix with 90 pounds of coffee worth $90 a pound to get a mixture that can be sold for $80 a pound. How many pounds of the $20 coffee should be used?

Accepted Answer

A)  7.5 lb 
B)  52.5 lb 
C)  105 lb 
D)  15 lb 
A)  7.5 lb 
B)  52.5 lb 
C)  105 lb 
D)  15 lb

Question 13

Solve the problem.
-Mrs. Boyd has a desk full of quarters and nickels. If she has a total of 28 coins with a total face value of $5.00, how many of the coins are nickels?

Accepted Answer

A)  23 nickels 
B)  10 nickels 
C)  12 nickels 
D)  18 nickels 
A)  23 nickels 
B)  10 nickels 
C)  12 nickels 
D)  18 nickels

Question 14

Solve graphically.
-

Accepted Answer

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

Question 15

Solve the system of equations by the elimination method.
-5x - 6y = -5 15x - 18y = 15

Accepted Answer

A)  no solution 
B)  (25, -30) 
C)  infinitely many solutions 
D)  (-25, 30) 
A)  no solution 
B)  (25, -30) 
C)  infinitely many solutions 
D)  (-25, 30)

Question 16

Solve graphically.
-2x + y = 6 4x + 2y = 12

Accepted Answer

A)  No solution 
B)  Infinite number of solutions 
C)  (0, 6) 
D)  (5, -4) 
A)  No solution 
B)  Infinite number of solutions 
C)  (0, 6) 
D)  (5, -4)

Question 17

Solve graphically.
-x = -y y + x = 6

Accepted Answer

A)  (1, 5) 
B)  No solution 
C)  (1, 1) 
D)  Infinite number of solutions 
A)  (1, 5) 
B)  No solution 
C)  (1, 1) 
D)  Infinite number of solutions

Question 18

Solve graphically.
-3x + 2y = 5 -6x - 4y = 5

Accepted Answer

A)  (1.5, -1) 
B)  No solution 
C)  (1, 1) 
D)  (-1.5, -1) 
A)  (1.5, -1) 
B)  No solution 
C)  (1, 1) 
D)  (-1.5, -1)

Question 19

Solve.
-7x + 7y + z = 1 x + 8y + 8z = 8
9x + y + 9z = 9

Accepted Answer

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

Question 20

Solve.
-x - y + z = 8 x + y + z = 6
X + y - z = -12

Accepted Answer

A)  (2, -1, 9) 
B)  (-2, -1, -9) 
C)  (-2, -1, 9) 
D)  (2, -1, -9) 
A)  (2, -1, 9) 
B)  (-2, -1, -9) 
C)  (-2, -1, 9) 
D)  (2, -1, -9)

Classify the system as consistent or inconsistent, and dependent or independent. -x + 5y = 19 5x - 6y = 2

Solve the problem. -Walt made an extra $10,000 last year from a part-time job. He invested part of the money at 10% and the rest at 9%. He made a total of $960 in interest. How much was invested at 9%?

Solve. -x + y + z = 1 x - y + 3z = -13 5x + y + z = 9

Solve the problem. -How many liters of a 20% alcohol solution must be mixed with 90 liters of a 80% solution to get a 40% solution?

Solve the problem using the elimination method. -There were 490 people at a play. The admission price was $3 for adults and $1 for children. The admission receipts were $1070. How many adults and how many children attended?

Solve. -An airplane travels 800 miles against the wind in 4 hours, and makes the return trip with the same wind in 2 hours. Find the rate of the wind.

Solve. -A company makes 3 types of cable. Cable A requires 3 black, 3 white, and 2 red wires. B requires 1 black, 2 white, and 1 red. C requires 2 black, 1 white, and 2 red. They used 100 black, 110 white and 85 red wires. How Many of each cable were made?

Solve. -A cabin cruiser travels 20 miles in the same time that a power boat travels 40 miles. The cruiser travels 5 mph slower than the power boat. Find the speed of each boat.

Solve. -Candy and Delvis are riding bicycles in the same direction. Candy is traveling at the speed of 7 miles per hour, and Delvis is traveling at the speed of 4 miles per hour. In 2 hours what is the distance between them?

Classify the system as consistent or inconsistent, and dependent or independent. -x + 6y = 17 2x + 12y = 34

Solve. -2x + y = 0 x - 3y + z = 0 3x + y - z = 0

Solve the problem. -A merchant has coffee worth $20 a pound that she wishes to mix with 90 pounds of coffee worth $90 a pound to get a mixture that can be sold for $80 a pound. How many pounds of the $20 coffee should be used?

Solve the problem. -Mrs. Boyd has a desk full of quarters and nickels. If she has a total of 28 coins with a total face value of $5.00, how many of the coins are nickels?

Solve graphically. -

Solve the system of equations by the elimination method. -5x - 6y = -5 15x - 18y = 15

Solve graphically. -2x + y = 6 4x + 2y = 12

Solve graphically. -x = -y y + x = 6

Solve graphically. -3x + 2y = 5 -6x - 4y = 5

Solve. -7x + 7y + z = 1 x + 8y + 8z = 8 9x + y + 9z = 9

Solve. -x - y + z = 8 x + y + z = 6 X + y - z = -12

Introduction

Introduction to Real Numbers and Algebraic Expressions

Solving Equations and Inequalities

Graphs of Linear Equations

Polynomials: Operations

Polynomials: Factoring

Rational Expressions and Equations

Graphs, Functions, and Applications

More on Inequalities

Radical Expressions, Equations, and Functions

Quadratic Equations and Functions

Exponential Functions and Logarithmic Functions

Calculating Means and Medians of Data Sets

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Exam 9: Systems of Equations