Question 1

Solve by the substitution method.
-x + y = 7 5x + 5y = 35

Accepted Answer

A)  (0, 0) 
B)  Infinite number of solutions 
C)  (7, 5) 
D)  (8, -1) 
A)  (0, 0) 
B)  Infinite number of solutions 
C)  (7, 5) 
D)  (8, -1)

Question 2

Solve.
-From a point on a river, two boats are driven in opposite directions, one at 10 miles per hour and the other at 13 miles per hour. In how many hours will they be 69 miles apart?

Accepted Answer

A)  5 hours 
B)  1 hour 
C)  4 hours 
D)  3 hours 
A)  5 hours 
B)  1 hour 
C)  4 hours 
D)  3 hours

Question 3

Solve using the elimination method.
-x + y = 11 x - y = 7

Accepted Answer

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

Question 4

Solve the system of equations by the elimination method.
-2.5x + 0.3y = 10.6 0.5x + 0.9y = 3.8

Accepted Answer

A)  (6.5, 2.3) 
B)  (4, 2) 
C)  (4.5, 2) 
D)  (1.5, 2.3) 
A)  (6.5, 2.3) 
B)  (4, 2) 
C)  (4.5, 2) 
D)  (1.5, 2.3)

Question 5

Solve the system of equations by the elimination method.
-

Accepted Answer

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

Question 6

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

Question 7

Solve.
-Linda invests $25,000 for one year. Part is invested at 5%, another part at 6%, and the rest at 8%. The total income from all 3 investments is $1600. The income from the 5% and 6% investments is the same as the income
From the 8% investment. Find the amount invested at each rate.

Accepted Answer

A)  $10,000 at 5%, $10,000 at 6%, $5000 at 8% 
B)  $8000 at 5%, $10,000 at 6%, $7000 at 8% 
C)  $10,000 at 5%, $5000 at 6%, $10,000 at 8% 
D)  $5000 at 5%, $10,000 at 6%, $10,000 at 8% 
A)  $10,000 at 5%, $10,000 at 6%, $5000 at 8% 
B)  $8000 at 5%, $10,000 at 6%, $7000 at 8% 
C)  $10,000 at 5%, $5000 at 6%, $10,000 at 8% 
D)  $5000 at 5%, $10,000 at 6%, $10,000 at 8%

Question 8

Solve.
-x + y + z = 6 x - z = -2
Y + 3z = 11

Accepted Answer

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

Question 9

Solve the problem using the elimination method.
-There were 38,000 people at a ball game in Los Angeles. The day's receipts were $229,000. How many people paid $11 for reserved seats and how many paid $4 for general admission?

Accepted Answer

A)  19,250 paid $11 and 18,750 paid $4 
B)  27,000 paid $11 and 11,000 paid $4 
C)  18,750 paid $11 and 19,250 paid $4 
D)  11,000 paid $11 and 27,000 paid $4 
A)  19,250 paid $11 and 18,750 paid $4 
B)  27,000 paid $11 and 11,000 paid $4 
C)  18,750 paid $11 and 19,250 paid $4 
D)  11,000 paid $11 and 27,000 paid $4

Question 10

Solve.
-An express and local train leave GraysLake at 3 P.M. and head for Chicago 50 miles away. The express travels twice as fast as the local and arrives 1 hour ahead of the local. Find the speed of each train.

Accepted Answer

A)  Express's rate = 50 mph and local's rate = 25 mph. 
B)  Express's rate = 25 mph and local's rate = 12.5 mph. 
C)  Express's rate = 60 mph and local's rate = 30 mph. 
D)  Cannot be determined with information given. 
A)  Express's rate = 50 mph and local's rate = 25 mph. 
B)  Express's rate = 25 mph and local's rate = 12.5 mph. 
C)  Express's rate = 60 mph and local's rate = 30 mph. 
D)  Cannot be determined with information given.

Question 11

Solve.
-  2x + z = 8

Accepted Answer

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

Question 12

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 21 mph, what is the speed of the plane in still air?

Accepted Answer

A)  256 mph 
B)  236 mph 
C)  231 mph 
D)  221 mph 
A)  256 mph 
B)  236 mph 
C)  231 mph 
D)  221 mph

Question 13

Solve the problem using the elimination method.
-The sum of two numbers is 4. Three times the larger number plus two times the smaller number is 37. Find the numbers.

Accepted Answer

A)  25 and -21 
B)  33 and -29 
C)  29 and -25 
D)  25 and -29 
A)  25 and -21 
B)  33 and -29 
C)  29 and -25 
D)  25 and -29

Question 14

Solve.
-5x + 4y + z = 34 5x - 5y - z = -9
4x + y + 2z = 15

Accepted Answer

A)  (-1, 5, 3) 
B)  (3, 5, -1) 
C)  (3, -1, 5) 
D)  No solution 
A)  (-1, 5, 3) 
B)  (3, 5, -1) 
C)  (3, -1, 5) 
D)  No solution

Question 15

Solve the problem.
-In a chemistry class, 6 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)  4.0 L 
B)  3.0 L 
C)  2.0 L 
D)  6.0 L 
A)  4.0 L 
B)  3.0 L 
C)  2.0 L 
D)  6.0 L

Question 16

Classify the system as consistent or inconsistent, and dependent or independent.
-x - 8 = y y + 2 = x

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 17

Solve the problem.
-Andy has 33 coins made up of quarters and half dollars, and their total value is $13.25. How many quarters does he have?

Accepted Answer

A)  18 quarters 
B)  22 quarters 
C)  20 quarters 
D)  13 quarters 
A)  18 quarters 
B)  22 quarters 
C)  20 quarters 
D)  13 quarters

Question 18

Solve using the substitution method.
-x = 1 + -2y x + 2y = 8

Accepted Answer

A)  Infinitely many solutions 
B)  (- 7, 15) 
C)  (- 7, - 15) 
D)  No solution 
A)  Infinitely many solutions 
B)  (- 7, 15) 
C)  (- 7, - 15) 
D)  No solution

Question 19

Solve.
-Mike, Joe, and Bill are painting a fence. The painting can be finished if Mike and Joe work together for 4 hours and Bill works alone for 2 hours or if Mike and Joe work together for 2 hours and Bill works alone for 5 hours,
Or if Mike works alone for 6 hours, Joe works alone for 2 hours, and Bill works alone for 1 hour. How much time Does it take for each man working alone to complete the painting?

Accepted Answer

A)  Mike 8 hr, Joe 8 hr, Bill 16 hr 
B)  Mike 12 hr, Joe 10 hr, Bill 10 hr 
C)  Mike 16 hr, Joe 8 hr, Bill 8 hr 
D)  Mike 8 hr, Joe 16 hr, Bill 8 hr 
A)  Mike 8 hr, Joe 8 hr, Bill 16 hr 
B)  Mike 12 hr, Joe 10 hr, Bill 10 hr 
C)  Mike 16 hr, Joe 8 hr, Bill 8 hr 
D)  Mike 8 hr, Joe 16 hr, Bill 8 hr

Question 20

Solve the problem.
-Find two numbers whose sum is 40 and whose difference is 12.

Accepted Answer

A)  29 and 11 
B)  26 and 14 
C)  24 and 16 
D)  16 and 28 
A)  29 and 11 
B)  26 and 14 
C)  24 and 16 
D)  16 and 28

Solve by the substitution method. -x + y = 7 5x + 5y = 35

Solve. -From a point on a river, two boats are driven in opposite directions, one at 10 miles per hour and the other at 13 miles per hour. In how many hours will they be 69 miles apart?

Solve using the elimination method. -x + y = 11 x - y = 7

Solve the system of equations by the elimination method. -2.5x + 0.3y = 10.6 0.5x + 0.9y = 3.8

Solve the system of equations by the elimination method. -

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. -Linda invests $25,000 for one year. Part is invested at 5%, another part at 6%, and the rest at 8%. The total income from all 3 investments is $1600. The income from the 5% and 6% investments is the same as the income From the 8% investment. Find the amount invested at each rate.

Solve. -x + y + z = 6 x - z = -2 Y + 3z = 11

Solve the problem using the elimination method. -There were 38,000 people at a ball game in Los Angeles. The day's receipts were $229,000. How many people paid $11 for reserved seats and how many paid $4 for general admission?

Solve. -An express and local train leave GraysLake at 3 P.M. and head for Chicago 50 miles away. The express travels twice as fast as the local and arrives 1 hour ahead of the local. Find the speed of each train.

Solve. - 2x + z = 8

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 21 mph, what is the speed of the plane in still air?

Solve the problem using the elimination method. -The sum of two numbers is 4. Three times the larger number plus two times the smaller number is 37. Find the numbers.

Solve. -5x + 4y + z = 34 5x - 5y - z = -9 4x + y + 2z = 15

Solve the problem. -In a chemistry class, 6 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?

Classify the system as consistent or inconsistent, and dependent or independent. -x - 8 = y y + 2 = x

Solve the problem. -Andy has 33 coins made up of quarters and half dollars, and their total value is $13.25. How many quarters does he have?

Solve using the substitution method. -x = 1 + -2y x + 2y = 8

Solve the problem. -Find two numbers whose sum is 40 and whose difference is 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