Savier Used The Expression Below To Represent His Score In A Game Of Mini-golf: 3 X + X + 5 − 2 X 3x + X + 5 - 2x 3 X + X + 5 − 2 X If He Simplifies The Expression, Which Statements Are True About The Parts Of The Simplified Expression? Select Three Options.A. The Constant Is

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Understanding the Expression

Savier used the expression 3x+x+5−2x3x + x + 5 - 2x to represent his score in a game of mini-golf. To simplify this expression, we need to combine like terms, which are terms that have the same variable raised to the same power.

Combining Like Terms

To combine like terms, we need to identify the terms that have the same variable raised to the same power. In this case, the terms 3x3x, xx, and −2x-2x all have the variable xx raised to the power of 1.

3x + x + 5 - 2x

We can combine the like terms by adding or subtracting their coefficients. The coefficient of a term is the number that is multiplied by the variable.

Simplifying the Expression

To simplify the expression, we need to combine the like terms by adding or subtracting their coefficients.

3x + x + 5 - 2x = (3x - 2x) + x + 5

Now, we can simplify the expression by combining the like terms.

(3x - 2x) + x + 5 = x + x + 5

Next, we can combine the like terms again.

x + x + 5 = 2x + 5

Therefore, the simplified expression is 2x+52x + 5.

Analyzing the Simplified Expression

Now that we have simplified the expression, we can analyze the parts of the simplified expression.

The Constant Term

The constant term is the term that does not have a variable. In this case, the constant term is 5.

The Variable Term

The variable term is the term that has a variable. In this case, the variable term is 2x2x.

The Coefficient of the Variable Term

The coefficient of the variable term is the number that is multiplied by the variable. In this case, the coefficient of the variable term is 2.

True Statements About the Parts of the Simplified Expression

Based on our analysis, we can determine which statements are true about the parts of the simplified expression.

  • The constant is 5.
  • The variable term is 2x.
  • The coefficient of the variable term is 2.

Therefore, the three true statements about the parts of the simplified expression are:

  • The constant is 5.
  • The variable term is 2x.
  • The coefficient of the variable term is 2.

Conclusion

Understanding the Expression

Savier used the expression 3x+x+5−2x3x + x + 5 - 2x to represent his score in a game of mini-golf. To simplify this expression, we need to combine like terms, which are terms that have the same variable raised to the same power.

Combining Like Terms

To combine like terms, we need to identify the terms that have the same variable raised to the same power. In this case, the terms 3x3x, xx, and −2x-2x all have the variable xx raised to the power of 1.

3x + x + 5 - 2x

We can combine the like terms by adding or subtracting their coefficients. The coefficient of a term is the number that is multiplied by the variable.

Simplifying the Expression

To simplify the expression, we need to combine the like terms by adding or subtracting their coefficients.

3x + x + 5 - 2x = (3x - 2x) + x + 5

Now, we can simplify the expression by combining the like terms.

(3x - 2x) + x + 5 = x + x + 5

Next, we can combine the like terms again.

x + x + 5 = 2x + 5

Therefore, the simplified expression is 2x+52x + 5.

Analyzing the Simplified Expression

Now that we have simplified the expression, we can analyze the parts of the simplified expression.

The Constant Term

The constant term is the term that does not have a variable. In this case, the constant term is 5.

The Variable Term

The variable term is the term that has a variable. In this case, the variable term is 2x2x.

The Coefficient of the Variable Term

The coefficient of the variable term is the number that is multiplied by the variable. In this case, the coefficient of the variable term is 2.

True Statements About the Parts of the Simplified Expression

Based on our analysis, we can determine which statements are true about the parts of the simplified expression.

  • The constant is 5.
  • The variable term is 2x.
  • The coefficient of the variable term is 2.

Therefore, the three true statements about the parts of the simplified expression are:

  • The constant is 5.
  • The variable term is 2x.
  • The coefficient of the variable term is 2.

Q&A

Q: What is the simplified expression for Savier's mini-golf score? A: The simplified expression is 2x+52x + 5.

Q: What is the constant term in the simplified expression? A: The constant term is 5.

Q: What is the variable term in the simplified expression? A: The variable term is 2x2x.

Q: What is the coefficient of the variable term in the simplified expression? A: The coefficient of the variable term is 2.

Q: How do you combine like terms in an algebraic expression? A: To combine like terms, you need to identify the terms that have the same variable raised to the same power and add or subtract their coefficients.

Q: What is the difference between a coefficient and a constant? A: A coefficient is the number that is multiplied by the variable, while a constant is a term that does not have a variable.

Q: Can you give an example of a simplified expression? A: Yes, an example of a simplified expression is 2x+52x + 5, where the constant term is 5, the variable term is 2x2x, and the coefficient of the variable term is 2.

Conclusion

In conclusion, Savier's mini-golf score can be represented by the simplified expression 2x+52x + 5. The constant term is 5, the variable term is 2x, and the coefficient of the variable term is 2. We also answered some common questions about simplifying algebraic expressions and combining like terms.