Question 1

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

Accepted Answer

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

Question 2

Solve the problem using the elimination method.
-There were 470 people at a play. The admission price was $2 for adults and $1 for children. The admission receipts were $720. How many adults and how many children attended?

Accepted Answer

A) 110 adults and 360 children 
B) 220 adults and 250 children 
C) 250 adults and 220 children 
D) 180 adults and 290 children 
A) 110 adults and 360 children 
B) 220 adults and 250 children 
C) 250 adults and 220 children 
D) 180 adults and 290 children

Question 3

Solve using the elimination method.
-x + y = 6 x - y = 12

Accepted Answer

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

Question 4

Solve the system of equations by the elimination method.
-

Accepted Answer

A) (-12, -9) 
B) (9, -12) 
C) (12, 9) 
D) (-12, 9) 
A) (-12, -9) 
B) (9, -12) 
C) (12, 9) 
D) (-12, 9)

Question 5

Graph the inequality on a plane.
-

Accepted Answer

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

Question 6

Match the inequality with a graph.
-

Accepted Answer

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

Question 7

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

Accepted Answer

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

Question 8

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)

Question 9

Match the inequality with a graph.
-

Accepted Answer

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

Question 10

Solve.
-In triangle ABC, the measure of angle B is 5° more than three times the measure of angle A. The measure of angle C is 15° more than the measure of angle A. Which one of the following is true?

Accepted Answer

A) Angle A is 35° 
B) Angle B is 102° 
C) Angle C is 47° 
D) None of these 
A) Angle A is 35° 
B) Angle B is 102° 
C) Angle C is 47° 
D) None of these

Question 11

Solve.
-The largest angle of a triangle is 6 times the smallest angle and it is 3 times the other angle. Find the measure of the smallest angle.

Accepted Answer

A) 30° 
B) 10° 
C) 20° 
D) 40° 
A) 30° 
B) 10° 
C) 20° 
D) 40°

Question 12

Classify the system as consistent or inconsistent, and dependent or independent.
-x + 2y = 17 2x + 4y = 34

Accepted Answer

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

Question 13

Solve the system of equations by the elimination method.
-2.8x + 0.4y = 12.4 0.7x + 0.8y = 5.2

Accepted Answer

A) (1.2, 3.4) 
B) (4.9, 3) 
C) (6.8, 3.4) 
D) (4, 3) 
A) (1.2, 3.4) 
B) (4.9, 3) 
C) (6.8, 3.4) 
D) (4, 3)

Question 14

Solve.
-5x + 2y + z = -11 2x - 3y - z = 17
7x + y + 2z = -4

Accepted Answer

A) (3, 0, -4) 
B) (0, 6, -1) 
C) (0, -6, 1) 
D) (-3, 0, 4) 
A) (3, 0, -4) 
B) (0, 6, -1) 
C) (0, -6, 1) 
D) (-3, 0, 4)

Question 15

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

Accepted Answer

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

Question 16

Solve the problem.
-There were 630 people at a play. The admission price was $2 for adults and $1 for children. The admission receipts were $960. How many adults and how many children attended?

Accepted Answer

A) 300 adults and 330 children 
B) 330 adults and 300 children 
C) 150 adults and 480 children 
D) 240 adults and 390 children 
A) 300 adults and 330 children 
B) 330 adults and 300 children 
C) 150 adults and 480 children 
D) 240 adults and 390 children

Question 17

Solve.
-x - y + z = 2 x + y + z = -4
X + y - z = -8

Accepted Answer

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

Question 18

Solve.
-John and Tony start from GraysLake at the same time and head for a town 10 miles away. John walks twice as fast as Tony and arrives 3 hours before Tony. Find how fast each walks.

Accepted Answer

A) Tony's speed   h and John's
  
B) Tony's speed = 3 m/h and John's = 6 m/h. 
C) Tony's speed   and John's
  
D) Cannot be determined with information given 
A) Tony's speed   h and John's
  
B) Tony's speed = 3 m/h and John's = 6 m/h. 
C) Tony's speed   and John's
  
D) Cannot be determined with information given

Question 19

Graph the inequality on a plane.
-

Accepted Answer

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

Question 20

Solve.
-A grain dealer sold to one customer 5 bushels of wheat, 2 of corn, and 3 of rye, for $21.50; to another, 2 of wheat, 3 of corn, and 5 of rye, for $19.00; and to a third, 3 of wheat, 5 of corn, and 2 of rye, for $26.50. What was the
Price per bushel for corn?

Accepted Answer

A) $1.90 
B) $3.54 
C) $1.40 
D) $3.90 
A) $1.90 
B) $3.54 
C) $1.40 
D) $3.90

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

Solve the problem using the elimination method. -There were 470 people at a play. The admission price was $2 for adults and $1 for children. The admission receipts were $720. How many adults and how many children attended?

Solve using the elimination method. -x + y = 6 x - y = 12

Solve the system of equations by the elimination method. -

Graph the inequality on a plane. -

Match the inequality with a graph. -

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

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

Match the inequality with a graph. -

Solve. -In triangle ABC, the measure of angle B is 5° more than three times the measure of angle A. The measure of angle C is 15° more than the measure of angle A. Which one of the following is true?

Solve. -The largest angle of a triangle is 6 times the smallest angle and it is 3 times the other angle. Find the measure of the smallest angle.

Classify the system as consistent or inconsistent, and dependent or independent. -x + 2y = 17 2x + 4y = 34

Solve the system of equations by the elimination method. -2.8x + 0.4y = 12.4 0.7x + 0.8y = 5.2

Solve. -5x + 2y + z = -11 2x - 3y - z = 17 7x + y + 2z = -4

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

Solve the problem. -There were 630 people at a play. The admission price was $2 for adults and $1 for children. The admission receipts were $960. How many adults and how many children attended?

Solve. -x - y + z = 2 x + y + z = -4 X + y - z = -8

Solve. -John and Tony start from GraysLake at the same time and head for a town 10 miles away. John walks twice as fast as Tony and arrives 3 hours before Tony. Find how fast each walks.

Graph the inequality on a plane. -

Solve. -A grain dealer sold to one customer 5 bushels of wheat, 2 of corn, and 3 of rye, for $21.50; to another, 2 of wheat, 3 of corn, and 5 of rye, for $19.00; and to a third, 3 of wheat, 5 of corn, and 2 of rye, for $26.50. What was the Price per bushel for corn?

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 problem using the elimination method. -There were 470 people at a play. The admission price was $2 for adults and $1 for children. The admission receipts were $720. How many adults and how many children attended?

Solve using the elimination method. -x + y = 6 x - y = 12

Solve the system of equations by the elimination method. -

Graph the inequality on a plane. -

Match the inequality with a graph. -

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

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

Match the inequality with a graph. -

Solve. -In triangle ABC, the measure of angle B is 5° more than three times the measure of angle A. The measure of angle C is 15° more than the measure of angle A. Which one of the following is true?

Solve. -The largest angle of a triangle is 6 times the smallest angle and it is 3 times the other angle. Find the measure of the smallest angle.

Classify the system as consistent or inconsistent, and dependent or independent. -x + 2y = 17 2x + 4y = 34

Solve the system of equations by the elimination method. -2.8x + 0.4y = 12.4 0.7x + 0.8y = 5.2

Solve. -5x + 2y + z = -11 2x - 3y - z = 17 7x + y + 2z = -4

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

Solve the problem. -There were 630 people at a play. The admission price was $2 for adults and $1 for children. The admission receipts were $960. How many adults and how many children attended?

Solve. -x - y + z = 2 x + y + z = -4 X + y - z = -8

Solve. -John and Tony start from GraysLake at the same time and head for a town 10 miles away. John walks twice as fast as Tony and arrives 3 hours before Tony. Find how fast each walks.

Graph the inequality on a plane. -

Solve. -A grain dealer sold to one customer 5 bushels of wheat, 2 of corn, and 3 of rye, for $21.50; to another, 2 of wheat, 3 of corn, and 5 of rye, for $19.00; and to a third, 3 of wheat, 5 of corn, and 2 of rye, for $26.50. What was the Price per bushel for corn?

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