Question

select all the equations that match the diagram.
18
$x+5$ $x+5$ $x+5$
(lesson 6-3)
a) $x + 5 = 18$
b) $18 \div 3 = x + 5$
c) $3(x + 5) = 18$
d) $x + 5 = \frac{1}{3} \cdot 18$
e) $3x + 5 = 18$

Explanation:

Step1: Analyze the diagram

The diagram shows 3 equal parts of $x+5$ that sum to 18.

Step2: Write total sum equation

$$3(x+5)=18$$

Step3: Derive division form

Divide both sides by 3:
$$x+5=\frac{18}{3} \quad \text{or} \quad 18\div3=x+5$$

Step4: Rewrite as fraction multiplication

$$x+5=\frac{1}{3}\cdot18$$

Step5: Eliminate incorrect equations

Option A only uses one $x+5$, not 3. Option E incorrectly distributes as $3x+5$ instead of $3x+15$.

Answer:

B) $18 \div 3 = x + 5$
C) $3(x + 5) = 18$
D) $x + 5 = \frac{1}{3} \cdot 18$