Solving Real-Life Problems with Matrix Equations

Solving Real-Life Problems with Matrix Equations

11th Grade

10 Qs

quiz-placeholder

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Solving Real-Life Problems with Matrix Equations

Solving Real-Life Problems with Matrix Equations

Assessment

Quiz

English, Mathematics

11th Grade

Practice Problem

Hard

CCSS
HSA.CED.A.3, HSA.REI.C.8, 8.EE.C.8C

Standards-aligned

Created by

Anthony Clark

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10 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

A farmer has two types of crops: corn and wheat. He sells corn for $3 per bushel and wheat for $4 per bushel. Last month, he sold a total of 200 bushels and earned $720. Formulate a system of equations and use matrices to find out how many bushels of each crop he sold.

Corn: 80 bushels, Wheat: 120 bushels

Corn: 100 bushels, Wheat: 100 bushels

Corn: 50 bushels, Wheat: 150 bushels

Corn: 90 bushels, Wheat: 110 bushels

Tags

CCSS.HSA.CED.A.3

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

A school is planning a field trip and has two types of tickets: adult tickets for $15 and student tickets for $10. They sold a total of 150 tickets and collected $1,800. Create a system of equations and solve it using matrix operations to determine how many adult and student tickets were sold.

60 adult tickets and 90 student tickets were sold.

70 adult tickets and 80 student tickets were sold.

50 adult tickets and 100 student tickets were sold.

40 adult tickets and 110 student tickets were sold.

Tags

CCSS.HSA.CED.A.3

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

A company produces two products, A and B. Product A requires 2 hours of labor and $5 in materials, while product B requires 3 hours of labor and $8 in materials. If the company has 100 hours of labor and $200 for materials, set up a system of equations and solve it using matrices to find the maximum number of each product they can produce.

Product A: 10, Product B: 15

Product A: 15, Product B: 5

Product A: 20, Product B: 10

Product A: 25, Product B: 8

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

In a concert, there are two types of tickets: VIP tickets for $100 and regular tickets for $50. If 300 tickets were sold for a total of $15,000, formulate the system of equations and use matrix operations to determine how many VIP and regular tickets were sold.

100 VIP tickets and 200 regular tickets

150 VIP tickets and 150 regular tickets

0 VIP tickets and 300 regular tickets

50 VIP tickets and 250 regular tickets

Tags

CCSS.HSA.REI.C.8

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

A bookstore sells two types of books: fiction and non-fiction. Fiction books cost $12 each, and non-fiction books cost $15 each. If the store sold a total of 100 books for $1,200, create a system of equations and solve it using matrices to find out how many of each type of book was sold.

20 fiction books and 80 non-fiction books were sold.

40 fiction books and 60 non-fiction books were sold.

30 fiction books and 70 non-fiction books were sold.

50 fiction books and 50 non-fiction books were sold.

Tags

CCSS.HSA.REI.C.8

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

A factory produces two types of gadgets: Type X and Type Y. Type X requires 4 hours of machine time and Type Y requires 3 hours. If the factory has 60 hours of machine time available and produces a total of 15 gadgets, set up a system of equations and solve it using matrix operations to find out how many of each type of gadget was produced.

12 Type X gadgets and 3 Type Y gadgets

15 Type X gadgets and 0 Type Y gadgets

8 Type X gadgets and 7 Type Y gadgets

10 Type X gadgets and 5 Type Y gadgets

Tags

CCSS.8.EE.C.8C

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

A restaurant offers two types of meals: vegetarian and non-vegetarian. The vegetarian meal costs $10 and the non-vegetarian meal costs $15. If the restaurant sold a total of 200 meals for $2,500, formulate a system of equations and use matrices to determine how many vegetarian and non-vegetarian meals were sold.

80 vegetarian meals and 120 non-vegetarian meals were sold.

150 vegetarian meals and 50 non-vegetarian meals were sold.

100 vegetarian meals and 100 non-vegetarian meals were sold.

200 vegetarian meals and 0 non-vegetarian meals were sold.

Tags

CCSS.HSA.CED.A.3

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