Applying Systems Of Linear Equations Worksheet With Answers

Applying Systems Of Linear Equations Worksheet With Answers - Lesson 6-5 Page 6

The cost of the lunch is $10 and the cost of each paintball is $0.03. The cost of 400 paintballs and lunch would be

6-5 Applying Systems of Linear Equations

$22.

18. BOOKS The library is having a book sale. Hardcover books sell for $4 each, and paperback books are $2 each. If

Connie spends $26 for 8 books, how many hardcover books did she buy?

SOLUTION:

Let h represent the number of hardcover books and p represent the number of paperback books Connie bought.

4h + 2p = 26; h + p = 8

Solve through substitution.

First, solve for p in equation 2.

Substitute in equation 1.

Connie bought 5 hardcover books.

21. OPEN ENDED Formulate a system of equations that represents a situation in your school. Describe the method

that you would use to solve the system. Then solve the system and explain what the solution means.

SOLUTION:

Sample answer: x + y = 12 and 3x + 2y = 29, where x represents the cost of a student ticket for the basketball game

and y represents the cost of an adult ticket; substitution could be used to solve the system; (5, 7) means the cost of a

student ticket is $5 and the cost of an adult ticket is $7.

24. WRITE A QUESTION A classmate says that elimination is the best way to solve a system of equations. Write a

question to challenge his conjecture.

SOLUTION:

Sample answer: Would another method work better if one of the equations is in the form y = mx + b?

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Applying Systems Of Linear Equations Worksheet With Answers - Lesson 6-5 Page 6