https://file.aiquickdraw.com/mathbot/file/17271970315434v7pi3pb.jpg

In the image, the concept of substitution is used to solve mathematical problems by substituting given values into equations. Here's a breakdown:

### Provided Example (on the left):
- \( x = 4 \), \( y = -3 \)
- The equation is \( 2 \times x \times y \).
- Substitution of the values into the equation:  
  \( 2 \times 4 \times -3 = 8 \times -3 = -24 \).

This calculation results in \(-24\), as boxed in red.

### "You Try" Problems (on the right):
1. **Problem 1**:  
   Given \( x = 5 \), \( y = -1 \), \( z = 10 \), calculate \( x \times y \times z \):  
   \[ 5 \times (-1) \times 10 = -50 \]

2. **Problem 2**:  
   Calculate \( x^2 - y \):  
   \( x = 5 \), \( y = -1 \):  
   \[ 5^2 - (-1) = 25 + 1 = 26 \]

Let me know if you'd like further details or have questions.

Here are 5 related questions for practice:
1. What is the result of \( 3 \times x \times y \) for \( x = 2 \), \( y = -5 \)?
2. Calculate \( x \times y \times z \) when \( x = 7 \), \( y = -2 \), and \( z = 4 \).
3. What is \( x^2 - z \) when \( x = 6 \), \( z = 9 \)?
4. Solve \( 2x^2 + y \) for \( x = 3 \), \( y = 5 \).
5. Find \( x^2 + y^2 \) for \( x = 4 \), \( y = -3 \).

**Tip**: When working with substitution, always ensure correct signs when substituting negative values.

Solve using substitution: x = 5, y = -1, z = 10. 1) x * y * z = ? 2) x^2 - y = ?

Learn how to solve basic substitution problems, such as x * y * z and x^2 - y, given values of x = 5, y = -1, and z = 10. A great introduction to algebra for students in Grades 6-8.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation