Question

part b – algebraic expressions (variables & constants)

1. write an algebraic expression for:

“four more than twice a number x.”

1. identify the terms, coefficients, and constants in this expression:

Explanation:

Question 3

Step1: Analyze "twice a number x"

"Twice a number x" means multiplying x by 2, so that's $2x$.

Step2: Analyze "four more than"

"Four more than" means adding 4 to the result from Step 1. So we add 4 to $2x$.

• Terms: In an algebraic expression, terms are separated by addition or subtraction. In \(2x + 4\), the terms are \(2x\) and \(4\) because they are separated by the plus sign.
• Coefficients: A coefficient is the numerical factor of a term with a variable. For the term \(2x\), the numerical factor is 2, so the coefficient of \(2x\) is 2. The term 4 has no variable, so it doesn't have a coefficient in the context of a variable - term coefficient.
• Constants: A constant is a term without a variable. In \(2x + 4\), the term 4 has no variable, so 4 is the constant.

Answer:

$2x + 4$

Question 4 (Using the expression from Question 3: \(2x + 4\))