Math Problem Statement

Write the expression under the matching situation, and solve additional algebra problems including expressions involving costs, quantities, and mathematical phrases.

Solution

Let me process the content of the uploaded file to analyze the math problems and provide solutions. One moment, please. PIL import Image import pytesseract

Load the uploaded image

image_path = "/mnt/data/17364463681004l067pra.jpg" image = Image.open(image_path)

Use OCR to extract text from the image

extracted_text = pytesseract.image_to_string(image) extracted_textHere is the extracted text from the uploaded image. It contains several problems to solve:


Problem 1:

Write the expression under the matching situation:

  • a. Ms. LaVanier had 8 pencils. She borrowed some to students, and they were not returned. Let yy represent the pencils not returned.
  • b. Angel has 8 more hot wheels than Sebastian. Let yy represent the number of hot wheels Sebastian has.
  • c. A pizza was cut into 8 slices. The pizza is shared between some friends. Let yy represent the number of friends.
  • d. Dominique gave 8 cookies to her friend. Let yy represent the number of cookies she had.
  • e. Chris and her friends are going to the school concert. Tickets to the concert cost $8. Let yy represent the number of people attending.
  • f. Ms. LaVanier is putting calculators in the table bins. She wants each table to have the same amount of calculators, and there are 8 tables. Let yy represent the number of calculators.

Problem 2:

Hushan has mm dollars. Derrick has $5 more than Hushan.
Write an expression that represents the amount of money they have together.


Problem 3:

Debora bought kk books for $7.99 each.
Write an algebraic expression that represents the total cost of the books.


Challenge Question:

Write an algebraic expression that could represent the phrase:

  • a. "Nine more than the product of five and the number of tires tt."
  • b. "Three less than the quantity gg divided by five."

I will now solve these problems one by one.### Solutions

Problem 1: Match each situation with the corresponding expression

The provided expressions are:

  1. y+8y + 8
  2. 8y8 - y
  3. y÷8y \div 8
  4. 8y8y

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Math Problem Analysis

Mathematical Concepts

Algebra
Variables and Expressions
Arithmetic Operations

Formulas

y + 8
8 - y
y ÷ 8
8y

Theorems

Basic properties of addition, subtraction, multiplication, and division in algebra

Suitable Grade Level

Grades 6-8