Exam 8: Systems of Equations and Inequalities

Adult tickets for a play cost $9 and child tickets cost $1. If there were 22 people at a performance and the theatre collected $182 from ticket sales, how many children attended the play?

(Multiple Choice)

4.9/5

(38)

Question 41

Use Cramer's rule to solve the system of equations.

(Multiple Choice)

4.9/5

(38)

Question 42

Determine whether the ordered pair (0, 0) is a solution. 10x - 3y > 5

(Multiple Choice)

4.8/5

(32)

Question 43

Perform the indicated operation(s), if possible. Do not use a calculator. If the operation cannot be completed, state why. AB and BA

(Short Answer)

4.9/5

(41)

Question 44

A coin jar contains nickels, dimes, and quarters. There are 38 coins in all. There are 2 more nickels than quarters. The value of the dimes is $2.70 less than the value of the quarters. How many coins of each type are in the jar?

(Short Answer)

4.8/5

(41)

Question 45

Solve the linear inequality by shading the appropriate half plane. -3x + y $\ge$ 0

(Essay)

4.9/5

(39)

Question 46

Solve using any method and identify the system as consistent, inconsistent, or dependent.

(Multiple Choice)

4.7/5

(35)

Question 47

Solve the system of inequalities by graphing the solution region.

(Multiple Choice)

4.9/5

(44)

Question 48

Perform the indicated operation, if possible. Do not use a calculator. If the operation cannot be completed, state why. A²

(Short Answer)

4.7/5

(40)

Question 49

Solve the linear inequality by shading the appropriate half plane. 3x + y $\le$ 5

(Essay)

4.8/5

(29)

Question 50

Perform the indicated row operations, then write the new matrix.

(Multiple Choice)

4.8/5

(39)

Question 51

Solve the system using elimination and back-substitution.

(Short Answer)

4.7/5

(31)

Question 52

Perform the indicated row operation, then write the new matrix. -2R1 + R2 → R2

(Short Answer)

4.8/5

(28)

Question 53

Compute the determinant of the matrix without using a calculator. If the determinant is zero, write singular matrix.

(Multiple Choice)

4.9/5

(34)

Question 54

For the system below, form the matrix equation AX = B. Compute the determinant of the coefficient matrix and determine if you can proceed. If possible, solve the system using the matrix equation.

(Multiple Choice)

5.0/5

(32)

Question 55

Solve the system using substitution. Write your answer as an ordered pair.

(Short Answer)

4.7/5

(31)

Question 56

What row operation would produce zero beneath the first entry in the diagonal?

(Short Answer)

4.8/5

(32)

Question 57

Substitute the x- and y-values indicated by the ordered pair (-3, -2) to determine if it solves the system.

(Multiple Choice)

4.9/5

(36)

Question 58

Solve using any method and identify the system as consistent, inconsistent, or dependent.

(Short Answer)

4.7/5

(31)

Question 59

Write the system in the form of a matrix equation. Do not solve.

(Multiple Choice)

4.9/5

(41)

Question 60

Showing 41 - 60 of 102

Adult tickets for a play cost $9 and child tickets cost $1. If there were 22 people at a performance and the theatre collected $182 from ticket sales, how many children attended the play?

Use Cramer's rule to solve the system of equations.

Determine whether the ordered pair (0, 0) is a solution. 10x - 3y > 5

Perform the indicated operation(s), if possible. Do not use a calculator. If the operation cannot be completed, state why. AB and BA

A coin jar contains nickels, dimes, and quarters. There are 38 coins in all. There are 2 more nickels than quarters. The value of the dimes is $2.70 less than the value of the quarters. How many coins of each type are in the jar?

Solve the linear inequality by shading the appropriate half plane. -3x + y $\ge$ 0

Solve using any method and identify the system as consistent, inconsistent, or dependent.

Solve the system of inequalities by graphing the solution region.

Perform the indicated operation, if possible. Do not use a calculator. If the operation cannot be completed, state why. A²

Solve the linear inequality by shading the appropriate half plane. 3x + y $\le$ 5

Perform the indicated row operations, then write the new matrix.

Solve the system using elimination and back-substitution.

Perform the indicated row operation, then write the new matrix. -2R1 + R2 → R2

Compute the determinant of the matrix without using a calculator. If the determinant is zero, write singular matrix.

For the system below, form the matrix equation AX = B. Compute the determinant of the coefficient matrix and determine if you can proceed. If possible, solve the system using the matrix equation.

Solve the system using substitution. Write your answer as an ordered pair.

What row operation would produce zero beneath the first entry in the diagonal?

Substitute the x- and y-values indicated by the ordered pair (-3, -2) to determine if it solves the system.

Solve using any method and identify the system as consistent, inconsistent, or dependent.

Write the system in the form of a matrix equation. Do not solve.

Equations and Inequalities

Relations, Functions and Graphs

Polynomial and Rational Functions

Exponential and Logarithmic Functions

Introduction to Trigonometric Functions

Trigonometric Identities, Inverses, and Equations

Applications of Trigonometry

Analytical Geometry

Additional Topics in Algebra

Bridges to Calculus - an Introduction to Limits

Review of Basic Concepts and Skills

Filters

Exam 8: Systems of Equations and Inequalities

Adult tickets for a play cost $9 and child tickets cost $1. If there were 22 people at a performance and the theatre collected $182 from ticket sales, how many children attended the play?

Use Cramer's rule to solve the system of equations.

Determine whether the ordered pair (0, 0) is a solution. 10x - 3y > 5

Perform the indicated operation(s), if possible. Do not use a calculator. If the operation cannot be completed, state why. AB and BA

A coin jar contains nickels, dimes, and quarters. There are 38 coins in all. There are 2 more nickels than quarters. The value of the dimes is $2.70 less than the value of the quarters. How many coins of each type are in the jar?

Solve the linear inequality by shading the appropriate half plane. -3x + y ≥\ge≥ 0

Solve using any method and identify the system as consistent, inconsistent, or dependent.

Solve the system of inequalities by graphing the solution region.

Perform the indicated operation, if possible. Do not use a calculator. If the operation cannot be completed, state why. A2

Solve the linear inequality by shading the appropriate half plane. 3x + y ≤\le≤ 5

Perform the indicated row operations, then write the new matrix.

Solve the system using elimination and back-substitution.

Perform the indicated row operation, then write the new matrix. -2R1 + R2 → R2

Compute the determinant of the matrix without using a calculator. If the determinant is zero, write singular matrix.

For the system below, form the matrix equation AX = B. Compute the determinant of the coefficient matrix and determine if you can proceed. If possible, solve the system using the matrix equation.

Solve the system using substitution. Write your answer as an ordered pair.

What row operation would produce zero beneath the first entry in the diagonal?

Substitute the x- and y-values indicated by the ordered pair (-3, -2) to determine if it solves the system.

Solve using any method and identify the system as consistent, inconsistent, or dependent.

Write the system in the form of a matrix equation. Do not solve.

Equations and Inequalities

Relations, Functions and Graphs

Polynomial and Rational Functions

Exponential and Logarithmic Functions

Introduction to Trigonometric Functions

Trigonometric Identities, Inverses, and Equations

Applications of Trigonometry

Analytical Geometry

Additional Topics in Algebra

Bridges to Calculus - an Introduction to Limits

Review of Basic Concepts and Skills

Filters

Solve the linear inequality by shading the appropriate half plane. -3x + y $\ge$ 0

Perform the indicated operation, if possible. Do not use a calculator. If the operation cannot be completed, state why. A²

Solve the linear inequality by shading the appropriate half plane. 3x + y $\le$ 5