Question

1.5 module 1 post-test

evaluate \\(\frac{x + (3 + y^3)}{10 - z}\\) if \\(x = 5\\), \\(y = 3\\), and \\(z = 3\\).

( ) 5
( ) 35
( ) 7
( ) 17

Explanation:

Substitute the given values into the expression

Using the Evaluating Expressions knowledge point

$$ \text{Substitute } x = 5, y = 3, \text{ and } z = 3 \text{ into } \frac{x + (3 + y^3)}{10 - z}: $$

$$ \frac{5 + (3 + 3^3)}{10 - 3} $$

Simplify the numerator using order of operations

Using the Order of Operations knowledge point

$$
LATEXBLOCK0
$$

Simplify the denominator

Using the Order of Operations knowledge point

$$ 10 - 3 = 7 $$

Divide the simplified numerator by the denominator

Using the Order of Operations knowledge point

$$ \frac{35}{7} = 5 $$

Answer:

• (A) 5 (Correct answer)
• (B) 35
• (C) 7
• (D) 17