Math Problem Statement
Simplify an expression for the model shown with x, -x, and numbers 1 and -1.
Solution
The image shows a mathematical model with symbols representing terms. There are three vertical bars on the left with labels , , and . On the right, there is a grid of numbers with positive and negative ones.
Step 1: Interpret the visual model
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The vertical bars represent algebraic terms:
- The first bar is ,
- The second bar is ,
- The third bar is .
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The grid of numbers represents constants:
- There are five boxes in total: three are , and two are .
Step 2: Combine the terms algebraically
-
Add up the terms:
-
Add up the constants:
Step 3: Write the simplified expression
The simplified expression is:
Let me know if you'd like further details or explanations.
Here are 5 related questions:
- How do you combine like terms in algebraic expressions?
- What are the rules for adding integers with positive and negative signs?
- How do you simplify expressions with variables and constants?
- Can this expression be further simplified or factored?
- How do models help in understanding algebraic expressions?
Tip: When simplifying expressions, always group like terms (variables with variables, constants with constants) to make the process clearer.
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Math Problem Analysis
Mathematical Concepts
Algebra
Simplifying Expressions
Combining Like Terms
Formulas
Addition of Like Terms
Summation of Integers
Theorems
Basic Algebraic Rules
Suitable Grade Level
Grades 6-8