Question

(a) select all equivalent expressions from the list for the expression. 5x + 25 5·x + 5·5 5(x + 5) 5(5x + 1) 30x

Explanation:

Step1: Check first expression

$5 \cdot x + 5 \cdot 5 = 5x + 25$, which matches the original expression.

Step2: Check second expression

Factor the original expression: $5x + 25 = 5(x + 5)$, which matches this expression.

Step3: Check third expression

Expand $5(5x + 1) = 25x + 5$, which does not match $5x + 25$.

Step4: Check fourth expression

$30x$ is not equivalent to $5x + 25$ (they only equal when $x=\frac{5}{5}=1$, not for all $x$).

Answer:

• $5 \cdot x + 5 \cdot 5$
• $5(x + 5)$