Question

which of the following are terms in this expression? select all that apply. 7k² + k³ + 6n³ + 1 options: k², 5n³, 2n³, 6n³ (with checkmarks on them) and a submit button

Explanation:

Step 1: Recall the definition of a term in an algebraic expression

A term in an algebraic expression is a single number, variable, or the product of numbers and variables separated by addition or subtraction signs.

Step 2: Analyze each option against the given expression \( 7k^2 + k^3 + 6n^3 + 1 \)

• For \( k^2 \): The term in the expression with \( k^2 \) is \( 7k^2 \), not \( k^2 \) by itself. So \( k^2 \) is not a term in the given expression.
• For \( 5n^3 \): There is no \( 5n^3 \) in the expression \( 7k^2 + k^3 + 6n^3 + 1 \).
• For \( 2n^3 \): There is no \( 2n^3 \) in the expression \( 7k^2 + k^3 + 6n^3 + 1 \).
• For \( 6n^3 \): \( 6n^3 \) is clearly one of the terms in the expression \( 7k^2 + k^3 + 6n^3 + 1 \) as it is separated by addition signs from the other terms.

Answer:

Only \( 6n^3 \) is a term in the expression \( 7k^2 + k^3 + 6n^3 + 1 \). The other options (\( k^2 \) (the original term is \( 7k^2 \), not \( k^2 \) alone), \( 5n^3 \), \( 2n^3 \)) are not present as written in the given expression.