Question 1

Solve using the elimination method.
-- x - 3y = - 2 -5x + 3y = -46

Accepted Answer

A)  (8, -2) 
B)  No solution 
C)  (9, -3) 
D)  (2, 8) 
A)  (8, -2) 
B)  No solution 
C)  (9, -3) 
D)  (2, 8)

Question 2

Solve the problem using the elimination method.
-A salesman sold $200 more than the rest of the sales staff. If the sales total for the day was $2050, how much did the rest of the sales staff sell?

Accepted Answer

A)  $1125 
B)  $925 
C)  $1850 
D)  $1025 
A)  $1125 
B)  $925 
C)  $1850 
D)  $1025

Question 3

Classify the system as consistent or inconsistent, and dependent or independent.
-x + y = -11 x - y = -5

Accepted Answer

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

Question 4

Solve the problem.
-Two angles have a sum of 81°. Their difference is 15°. Find the angles.

Accepted Answer

A)  67° and 14° 
B)  35° and 50° 
C)  48° and 33° 
D)  46° and 35° 
A)  67° and 14° 
B)  35° and 50° 
C)  48° and 33° 
D)  46° and 35°

Question 5

Solve the problem.
-Mardi received an inheritance of $60,000. She invested part at 8% and deposited the remainder in tax-free bonds at 11%. Her total annual income from the investments was $5700. Find the amount invested at 8%.

Accepted Answer

A)  $54,300 
B)  $29,000 
C)  $30,000 
D)  $15,000 
A)  $54,300 
B)  $29,000 
C)  $30,000 
D)  $15,000

Question 6

Solve.
-The speed of a stream is 6 mph. If a boat travels 68 miles downstream in the same time that it takes to travel 34 miles upstream, what is the speed of the boat in still water?

Accepted Answer

A)  12 mph 
B)  18 mph 
C)  21 mph 
D)  20 mph 
A)  12 mph 
B)  18 mph 
C)  21 mph 
D)  20 mph

Question 7

Solve by the substitution method.
-x + 6y = -1 7x + 7y = -7

Accepted Answer

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

Question 8

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

Accepted Answer

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

Question 9

Solve.
-x + 2y + 2z = 0 5y + 3z = -4
Z = -3

Accepted Answer

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

Question 10

Solve the problem.
-Tim and Judy mix two kinds of feed for pedigreed dogs. They wish to make 28 pounds of feed worth $0.62 per pound by mixing one kind worth $0.15 per pound with another worth $0.97 per pound. How many pounds of
The cheaper kind should they use in the mix?

Accepted Answer

A)  21 pounds 
B)  14 pounds 
C)  12 pounds 
D)  16 pounds 
A)  21 pounds 
B)  14 pounds 
C)  12 pounds 
D)  16 pounds

Question 11

Solve.
-Michael's bank contains only nickels, dimes, and quarters. There are 56 coins in all, valued at $4.90. The number of nickels is 4 short of being three times the sum of the number of dimes and quarters together. How many
Dimes are in the bank?

Accepted Answer

A)  11 
B)  9 
C)  41 
D)  6 
A)  11 
B)  9 
C)  41 
D)  6

Question 12

Solve by the substitution method.
-x + 3y = 18 7x + 4y = 24

Accepted Answer

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

Question 13

Solve the problem using the elimination method.
-The sum of two numbers is 41. The larger number minus the smaller number is 9. What are the numbers?

Accepted Answer

A)  18 and 27 
B)  25 and 16 
C)  33 and 8 
D)  23 and 18 
A)  18 and 27 
B)  25 and 16 
C)  33 and 8 
D)  23 and 18

Question 14

Solve the problem.
-Ellen wishes to mix candy worth $1.79 per pound with candy worth $3.75 per pound to form 22 pounds of a mixture worth $2.95 per pound. How many pounds of the more expensive candy should she use?

Accepted Answer

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

Question 15

Solve the system of equations by the elimination method.
--7x - 6y = -36 -3x + 4y = 24

Accepted Answer

A)  no solution 
B)  (0, 7) 
C)  (0, 6) 
D)  (-1, 7) 
A)  no solution 
B)  (0, 7) 
C)  (0, 6) 
D)  (-1, 7)

Question 16

Solve the problem.
-Ron and Kathy are ticket-sellers at their class play, Ron handling student tickets that sell for $3.00 each and Kathy selling adult tickets for $5.50 each. If their total income for 25 tickets was $120.00, how many did Ron sell?

Accepted Answer

A)  23 tickets 
B)  18 tickets 
C)  7 tickets 
D)  9 tickets 
A)  23 tickets 
B)  18 tickets 
C)  7 tickets 
D)  9 tickets

Question 17

Solve.
-The sum of a student's three scores is 225. If the first is 20 points more than the second, and the sum of the first two is 24 more than twice the third, what was the first score?

Accepted Answer

A)  69 
B)  89 
C)  47 
D)  67 
A)  69 
B)  89 
C)  47 
D)  67

Question 18

Solve the problem.
-The sum of two angles is 225°. One angle is 30° less than twice the other. Find the angles.

Accepted Answer

A)  136° and 89° 
B)  85° and 140° 
C)  83° and 142° 
D)  83° and 136° 
A)  136° and 89° 
B)  85° and 140° 
C)  83° and 142° 
D)  83° and 136°

Question 19

Solve the problem.
-The perimeter of a triangle is 65 cm. The triangle is isosceles now, but if its base were lengthened by 6 cm and each leg were shortened by 7 cm, it would be equilateral. Find the base of the original triangle.

Accepted Answer

A)  19 cm 
B)  26 cm 
C)  13 cm 
D)  12 cm 
A)  19 cm 
B)  26 cm 
C)  13 cm 
D)  12 cm

Question 20

Solve the system of equations by the elimination method.
-3x - 5y = 2 18x - 30y = 12

Accepted Answer

A)  (6, -10) 
B)  infinitely many solutions 
C)  (-10, 6) 
D)  no solution 
A)  (6, -10) 
B)  infinitely many solutions 
C)  (-10, 6) 
D)  no solution

Solve using the elimination method. -- x - 3y = - 2 -5x + 3y = -46

Solve the problem using the elimination method. -A salesman sold $200 more than the rest of the sales staff. If the sales total for the day was $2050, how much did the rest of the sales staff sell?

Classify the system as consistent or inconsistent, and dependent or independent. -x + y = -11 x - y = -5

Solve the problem. -Two angles have a sum of 81°. Their difference is 15°. Find the angles.

Solve the problem. -Mardi received an inheritance of $60,000. She invested part at 8% and deposited the remainder in tax-free bonds at 11%. Her total annual income from the investments was $5700. Find the amount invested at 8%.

Solve. -The speed of a stream is 6 mph. If a boat travels 68 miles downstream in the same time that it takes to travel 34 miles upstream, what is the speed of the boat in still water?

Solve by the substitution method. -x + 6y = -1 7x + 7y = -7

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

Solve. -x + 2y + 2z = 0 5y + 3z = -4 Z = -3

Solve the problem. -Tim and Judy mix two kinds of feed for pedigreed dogs. They wish to make 28 pounds of feed worth $0.62 per pound by mixing one kind worth $0.15 per pound with another worth $0.97 per pound. How many pounds of The cheaper kind should they use in the mix?

Solve. -Michael's bank contains only nickels, dimes, and quarters. There are 56 coins in all, valued at $4.90. The number of nickels is 4 short of being three times the sum of the number of dimes and quarters together. How many Dimes are in the bank?

Solve by the substitution method. -x + 3y = 18 7x + 4y = 24

Solve the problem using the elimination method. -The sum of two numbers is 41. The larger number minus the smaller number is 9. What are the numbers?

Solve the problem. -Ellen wishes to mix candy worth $1.79 per pound with candy worth $3.75 per pound to form 22 pounds of a mixture worth $2.95 per pound. How many pounds of the more expensive candy should she use?

Solve the system of equations by the elimination method. --7x - 6y = -36 -3x + 4y = 24

Solve the problem. -Ron and Kathy are ticket-sellers at their class play, Ron handling student tickets that sell for $3.00 each and Kathy selling adult tickets for $5.50 each. If their total income for 25 tickets was $120.00, how many did Ron sell?

Solve. -The sum of a student's three scores is 225. If the first is 20 points more than the second, and the sum of the first two is 24 more than twice the third, what was the first score?

Solve the problem. -The sum of two angles is 225°. One angle is 30° less than twice the other. Find the angles.

Solve the problem. -The perimeter of a triangle is 65 cm. The triangle is isosceles now, but if its base were lengthened by 6 cm and each leg were shortened by 7 cm, it would be equilateral. Find the base of the original triangle.

Solve the system of equations by the elimination method. -3x - 5y = 2 18x - 30y = 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