Question

$6(x + 1) = 24$
a. find the solution to the equation.
$x = $
b. complete the statement to describe how you used the diagram to solve the equation.
in the tape diagram, there are units of $x + 1$ that make , so $x + 1$ must be $24 \div 6$, which is . since $x + 1 = $, then $x = $.

Explanation:

Step1: Divide both sides by 6

$\frac{6(x+1)}{6} = \frac{24}{6}$
Simplify to get: $x+1 = 4$

Step2: Subtract 1 from both sides

$x+1 - 1 = 4 - 1$
Simplify to get: $x = 3$

Answer:

a. $x=3$
b. In the tape diagram, there are $\boldsymbol{6}$ units of $x + 1$ that make $\boldsymbol{24}$, so $x + 1$ must be $24 \div 6$, which is $\boldsymbol{4}$. Since $x + 1 = \boldsymbol{4}$, then $x = \boldsymbol{3}$.