Question 1

Solve the problem.
-The sum of two numbers is 34 and their difference is 8. Find the numbers.

Accepted Answer

A) 15 and 23 
B) 21 and 13 
C) 27 and 7 
D) 19 and 15 
A) 15 and 23 
B) 21 and 13 
C) 27 and 7 
D) 19 and 15

Question 2

Solve the system of equations by the elimination method.
-7x + 8y = 7 -4x - 4y = -4

Accepted Answer

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

Question 3

Solve the system of equations by the elimination method.
--0.1x + 0.6y = -3.2 0.7x - 0.1y = -2.2

Accepted Answer

A) (-0.4, -0.6) 
B) (-40, -60) 
C) (-4, -6) 
D) (-6, -4) 
A) (-0.4, -0.6) 
B) (-40, -60) 
C) (-4, -6) 
D) (-6, -4)

Question 4

Solve the problem.
-The sum of two angles is 110°. One angle is 25° less than twice the other. Find the angles.

Accepted Answer

A) 43° and 61° 
B) 45° and 65° 
C) 61° and 49° 
D) 43° and 67° 
A) 43° and 61° 
B) 45° and 65° 
C) 61° and 49° 
D) 43° and 67°

Question 5

Classify the system as consistent or inconsistent, and dependent or independent.
-3x = y + 3 6x - 2y = 3

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 6

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 7

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

Accepted Answer

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

Question 8

Solve the problem.
-Andy has 23 coins made up of quarters and half dollars, and their total value is $7.75. How many quarters does he have?

Accepted Answer

A) 15 quarters 
B) 20 quarters 
C) 10 quarters 
D) 8 quarters 
A) 15 quarters 
B) 20 quarters 
C) 10 quarters 
D) 8 quarters

Question 9

Graph the inequality on a plane.
-

Accepted Answer

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

Question 10

Solve graphically.
-

Accepted Answer

A) (5, -2) 
B) Infinite number of solutions 
C) No solution 
D) (0, 8) 
A) (5, -2) 
B) Infinite number of solutions 
C) No solution 
D) (0, 8)

Question 11

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

Accepted Answer

A) (2, -2) 
B) (0, -2) 
C) (3, -1) 
D) (-1, 1) 
A) (2, -2) 
B) (0, -2) 
C) (3, -1) 
D) (-1, 1)

Question 12

Solve graphically.
-

Accepted Answer

A) (1, -4) 
B) Infinitely many solutions 
C) No solution 
D) (-4, 1) 
A) (1, -4) 
B) Infinitely many solutions 
C) No solution 
D) (-4, 1)

Question 13

Solve the problem.
-A woman made a deposit of $215. If her deposit consisted of 79 bills, some of them one-dollar bills and the rest being five-dollar bills, how many one-dollar bills did she deposit?

Accepted Answer

A) 35 one-dollars 
B) 34 one-dollars 
C) 45 one-dollars 
D) 40 one-dollars 
A) 35 one-dollars 
B) 34 one-dollars 
C) 45 one-dollars 
D) 40 one-dollars

Question 14

Solve the problem using the elimination method.
-The sum of two numbers is 28. The larger number minus the smaller number is 8. What are the numbers?

Accepted Answer

A) 16 and 12 
B) 21 and 7 
C) 18 and 10 
D) 12 and 20 
A) 16 and 12 
B) 21 and 7 
C) 18 and 10 
D) 12 and 20

Question 15

Solve the problem.
-How many liters of a 20% alcohol solution must be mixed with 90 liters of a 90% solution to get a 30% solution?

Accepted Answer

A) 63 L 
B) 630 L 
C) 54 L 
D) 540 L 
A) 63 L 
B) 630 L 
C) 54 L 
D) 540 L

Question 16

Solve the problem.
-A contractor mixes concrete from bags of pre-mix for small jobs. How many bags with 6% cement should he mix with 4 bags of 19.5% cement to produce a mix containing 9% cement?

Accepted Answer

A) 23 bags 
B) 18 bags 
C) 14 bags 
D) 16 bags 
A) 23 bags 
B) 18 bags 
C) 14 bags 
D) 16 bags

Question 17

Solve.
-Michael's bank contains only nickels, dimes, and quarters. There are 66 coins in all, valued at $5.40. The number of nickels is 6 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) 8 
B) 10 
C) 48 
D) 15 
A) 8 
B) 10 
C) 48 
D) 15

Question 18

Match the inequality with a graph.
-

Accepted Answer

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

Question 19

Solve.
-x - y + 3z = -1 3x + z = 0
X + 5y + z = 5

Accepted Answer

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

Question 20

Graph the inequality on a plane.
-

Accepted Answer

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

Solve the problem. -The sum of two numbers is 34 and their difference is 8. Find the numbers.

Solve the system of equations by the elimination method. -7x + 8y = 7 -4x - 4y = -4

Solve the system of equations by the elimination method. --0.1x + 0.6y = -3.2 0.7x - 0.1y = -2.2

Solve the problem. -The sum of two angles is 110°. One angle is 25° less than twice the other. Find the angles.

Classify the system as consistent or inconsistent, and dependent or independent. -3x = y + 3 6x - 2y = 3

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 + y = 0 x - 3y + z = 0 3x + y - z = 0

Solve the problem. -Andy has 23 coins made up of quarters and half dollars, and their total value is $7.75. How many quarters does he have?

Graph the inequality on a plane. -

Solve graphically. -

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

Solve graphically. -

Solve the problem. -A woman made a deposit of $215. If her deposit consisted of 79 bills, some of them one-dollar bills and the rest being five-dollar bills, how many one-dollar bills did she deposit?

Solve the problem using the elimination method. -The sum of two numbers is 28. The larger number minus the smaller number is 8. What are the numbers?

Solve the problem. -How many liters of a 20% alcohol solution must be mixed with 90 liters of a 90% solution to get a 30% solution?

Solve the problem. -A contractor mixes concrete from bags of pre-mix for small jobs. How many bags with 6% cement should he mix with 4 bags of 19.5% cement to produce a mix containing 9% cement?

Solve. -Michael's bank contains only nickels, dimes, and quarters. There are 66 coins in all, valued at $5.40. The number of nickels is 6 short of being three times the sum of the number of dimes and quarters together. How many Dimes are in the bank?

Match the inequality with a graph. -

Solve. -x - y + 3z = -1 3x + z = 0 X + 5y + z = 5

Graph the inequality on a plane. -

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

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Exam 3: Systems of Equations

Solve the problem. -The sum of two numbers is 34 and their difference is 8. Find the numbers.

Solve the system of equations by the elimination method. -7x + 8y = 7 -4x - 4y = -4

Solve the system of equations by the elimination method. --0.1x + 0.6y = -3.2 0.7x - 0.1y = -2.2

Solve the problem. -The sum of two angles is 110°. One angle is 25° less than twice the other. Find the angles.

Classify the system as consistent or inconsistent, and dependent or independent. -3x = y + 3 6x - 2y = 3

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 + y = 0 x - 3y + z = 0 3x + y - z = 0

Solve the problem. -Andy has 23 coins made up of quarters and half dollars, and their total value is $7.75. How many quarters does he have?

Graph the inequality on a plane. -

Solve graphically. -

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

Solve graphically. -

Solve the problem. -A woman made a deposit of $215. If her deposit consisted of 79 bills, some of them one-dollar bills and the rest being five-dollar bills, how many one-dollar bills did she deposit?

Solve the problem using the elimination method. -The sum of two numbers is 28. The larger number minus the smaller number is 8. What are the numbers?

Solve the problem. -How many liters of a 20% alcohol solution must be mixed with 90 liters of a 90% solution to get a 30% solution?

Solve the problem. -A contractor mixes concrete from bags of pre-mix for small jobs. How many bags with 6% cement should he mix with 4 bags of 19.5% cement to produce a mix containing 9% cement?

Solve. -Michael's bank contains only nickels, dimes, and quarters. There are 66 coins in all, valued at $5.40. The number of nickels is 6 short of being three times the sum of the number of dimes and quarters together. How many Dimes are in the bank?

Match the inequality with a graph. -

Solve. -x - y + 3z = -1 3x + z = 0 X + 5y + z = 5

Graph the inequality on a plane. -

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