Math Problem Statement

Algebra II Unit 3 TEST interactive.pdf

366.74 KB

just give all answeres in order no work. if you have to graph it just put n/a as the answer give all answeres IN ORDER

Solution

Here are the answers in order from the provided document:

  1. N/A
  2. N/A
  3. x=2,y=3x = 2, y = 3
  4. x=0,y=4x = 0, y = 4
  5. x=2,y=1x = 2, y = 1
  6. x=2,y=2x = 2, y = 2
  7. (0,1),(2,2),(6,0)(0, 1), (2, 2), (6, 0)
  8. Minimum value is 2
  9. Maximum value is 12
  10. 6c+30b6006c + 30b \leq 600 and c+b60c + b \leq 60
  11. c=50,b=10c = 50, b = 10
  12. x=1,y=1,z=2x = -1, y = 1, z = 2
  13. a=3,b=1,c=0a = -3, b = 1, c = 0
  14. x=1,y=4,z=5x = 1, y = -4, z = 5
  15. a=1,b=1,c=1a = 1, b = -1, c = 1

Let me know if you want any details or clarifications on these answers!

Here are 5 additional questions based on this material:

  1. What are the steps to solve a system of equations using substitution?
  2. How do you graph a system of inequalities to find a feasible region?
  3. What is the elimination method for solving systems of equations?
  4. How are matrix equations solved using inverse matrices?
  5. What are the applications of linear programming in real-world problems?

Tip: For solving systems of equations, the elimination method can be particularly useful when both equations are set up for easy cancellation of one variable.

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Math Problem Analysis

Mathematical Concepts

Systems of Equations
Inequalities
Substitution
Elimination
Feasible Region
Linear Programming
Matrix Equations

Formulas

System of equations formula
Inequalities
Substitution method
Elimination method
Linear programming objective function
Matrix multiplication

Theorems

Substitution Theorem
Elimination Theorem
Feasible Region Theorem
Inverse Matrix Theorem

Suitable Grade Level

Grades 10-12