simplifying expressions 8th grade
Understand the Problem
The question is asking for help with simplifying expressions at an 8th grade level. This involves understanding algebraic expressions and applying properties such as combining like terms.
Answer
The simplified expression is $5x - 1$.
Answer for screen readers
The simplified expression is $5x - 1$.
Steps to Solve
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Identify the expression to simplify
First, write down the expression that needs simplification. For example, consider the expression:
$$ 3x + 4 + 2x - 5 $$ -
Combine like terms
Group the terms with the same variable and constants together. In our example, the terms with $x$ are $3x$ and $2x$, and the constant terms are $4$ and $-5$.
So, we can combine them as follows:
$$ (3x + 2x) + (4 - 5) $$ -
Perform the arithmetic
Now, add the coefficients of $x$ and the constants:
For $x$ terms:
$$ 3x + 2x = 5x $$
For constant terms:
$$ 4 - 5 = -1 $$ -
Write the simplified expression
Now, combine the results from the previous step:
$$ 5x - 1 $$
The final simplified expression is $5x - 1$.
The simplified expression is $5x - 1$.
More Information
Simplifying expressions helps in solving equations and understanding algebra better. It allows for easier manipulation of formulas and creates a foundation for more advanced topics in mathematics.
Tips
- Forgetting to combine all like terms: Make sure to include all terms with the same variable.
- Confusing addition and subtraction of constants: Double-check the signs when dealing with constant terms.
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