Question

select the expressions that are equivalent to $4s + s$.
$s \cdot 5$
$s + s + s + s + s$
$5s$
$3s + s + s$

Explanation:

Step1: Simplify \(4s + s\)

Combine like terms: \(4s + s=(4 + 1)s = 5s\)

Step2: Analyze \(s\cdot5\)

By the commutative property of multiplication, \(s\cdot5 = 5s\), so it is equivalent.

Step3: Analyze \(s + s + s + s + s\)

This is the sum of five \(s\) terms, which is \(5s\), so it is equivalent.

Step4: Analyze \(5s\)

This is the simplified form of \(4s + s\), so it is equivalent.

Step5: Analyze \(3s + s + s\)

Combine like terms: \(3s + s + s=(3 + 1+1)s = 5s\), so it is equivalent.

Answer:

The expressions equivalent to \(4s + s\) are:

• \(s\cdot5\)
• \(s + s + s + s + s\)
• \(5s\)
• \(3s + s + s\)