Question

let ( x ) represent the initial value of horace’s skateboard. write the following verbal statements as an algebraic equation.
horace’s skateboard increased in value by $7. then horace’s skateboard’s value shrunk 8 times in value. now horace’s skateboard is worth $26.

Explanation:

Step1: Define initial value and increase

Let $x$ = initial value. Increase by $7$: $x + 7$

Step2: Shrink value by 8 times

Divide the new value by 8: $\frac{x + 7}{8}$

Step3: Set equal to final value

Final value is $26$, so equate: $\frac{x + 7}{8} = 26$

Answer:

$\frac{x + 7}{8} = 26$