Question

which expression is equivalent to $3j + 2j$?
$j + 5$
$4j + 2j$
$j^5$
$j + 2j + 2j$

Explanation:

Step1: Simplify the original expression

We know that for like terms (terms with the same variable), we can combine their coefficients. For \(3j + 2j\), the coefficients are 3 and 2. So \(3j+2j=(3 + 2)j=5j\).

Step2: Analyze each option

• Option 1: \(j + 5\) has a constant term 5 and a term with \(j\), which is not equivalent to \(5j\).
• Option 2: \(4j+2j=(4 + 2)j = 6j

eq5j\).

• Option 3: \(j^{5}\) is a power of \(j\) and not a linear term like \(5j\), so it's not equivalent.
• Option 4: \(j+2j + 2j=(1 + 2+2)j=5j\), which is equivalent to \(3j + 2j\).

Answer:

\(j + 2j + 2j\) (the fourth option)