Directions: Solve each problem below using a system of equations. Show all work and/or provide the graph used to solve each problem. 1. Carpenter Charlie charges $15 per hour plus a flat rate of $100. Carpenter Chris charges $20 per hour plus a flat rate of $50. For how many hours of work will the total charged be equal? Let x equal the number of hours worked and let y equal the total that the carpenter will charge. 2. The Lions basketball team uses a rating system to rank players. They value each free throw for 1 point and each 3-pointer for 3 points. John earned 100 points the day that he shot a total of 60 free throws and 3-pointers combined. Let x equal free throws and y equal 3-pointers. How many of each shot did he make? 3. The perimeter of a rectangular garden is 34 feet. The length of the rectangle is 11 feet longer than the width. Let the length equal x and the width equal y. What are the dimensions of this garden? 4. Two small buckets and 1 large bucket can hold 8 cups of gasoline. One large bucket minus 1 small bucket constitutes 2 cups of gasoline. How many cups of gasoline can each bucket hold? 5. An assessment has 20 questions for a total value of 100 points. The test consists of true/false questions worth 3 points each and multiple-choice questions worth 11 points each. How many multiple-choice questions and true/false questions are on the assessment?
Directions: Solve each problem below using a system of equations. Show all work and/or provide the graph used to solve each problem. 1. Carpenter Charlie charges $15 per hour plus a flat rate of $100. Carpenter Chris charges $20 per hour plus a flat rate of $50. For how many hours of work will the total charged be equal? Let x equal the number of hours worked and let y equal the total that the carpenter will charge. 2. The Lions basketball team uses a rating system to rank players. They value each free throw for 1 point and each 3-pointer for 3 points. John earned 100 points the day that he shot a total of 60 free throws and 3-pointers combined. Let x equal free throws and y equal 3-pointers. How many of each shot did he make? 3. The perimeter of a rectangular garden is 34 feet. The length of the rectangle is 11 feet longer than the width. Let the length equal x and the width equal y. What are the dimensions of this garden? 4. Two small buckets and 1 large bucket can hold 8 cups of gasoline. One large bucket minus 1 small bucket constitutes 2 cups of gasoline. How many cups of gasoline can each bucket hold? 5. An assessment has 20 questions for a total value of 100 points. The test consists of true/false questions worth 3 points each and multiple-choice questions worth 11 points each. How many multiple-choice questions and true/false questions are on the assessment?
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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Please help me answer these questions I found in a online practice worksheet that doesn't have an answer key, Thank you!
Transcribed Image Text:Directions: Solve each problem below using a system of equations. Show all work and/or provide the graph used to solve each
problem.
1. Carpenter Charlie charges $15 per hour plus a flat rate of $100. Carpenter Chris charges $20 per hour plus a flat rate of $50.
For how many hours of work will the total charged be equal? Let x equal the number of hours worked and let y equal the total
that the carpenter will charge.
2. The Lions basketball team uses a rating system to rank players. They value each free throw for 1 point and each 3-pointer for
3 points. John earned 100 points the day that he shot a total of 60 free throws and 3-pointers combined. Let x equal free
throws and y equal 3-pointers. How many of each shot did he make?
3. The perimeter of a rectangular garden is 34 feet. The length of the rectangle is 11 feet longer than the width. Let the length
equal x and the width equal y. What are the dimensions of this garden?
4. Two small buckets and 1 large bucket can hold 8 cups of gasoline. One large bucket minus 1 small bucket constitutes 2
cups of gasoline. How many cups of gasoline can each bucket hold?
5. An assessment has 20 questions for a total value of 100 points. The test consists of true/false questions worth 3 points
each and multiple-choice questions worth 11 points each. How many multiple-choice questions and true/false questions are
on the assessment?
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