In the fraction 7/12, which number is the numerator and what general role does it play?

Express the improper fraction 9/4 as a mixed number and state how many whole shapes (each divided into fourths) would be fully shaded when representing 9/4 visually.

Simplify 1024/384 efficiently by recognizing powers of two. What is the simplified fraction?

How should you verbally read the notation xⁿ in standard mathematical language?

Use grouping to compute 2¹⁰ efficiently and select the correct value.

A single bacterial cell triples every hour. Starting with one bacterium, how many bacteria will there be after 6 hours?

Evaluate 2(x + 3) when x = -4. Apply substitution and the order of operations, being careful with negative numbers.

Evaluate -2y³ when y = -2. Be careful to compute the exponent first and handle signs correctly.

Evaluate (5 − 2³)/3 + (1/6) · 12. Break the problem into sub-steps, then focus on solving the exponent and fractions, and then determine the exact final value.

Which of the following is the correct translation of 'x divided by 9'?

Translate "five less than twice a number n" into an algebraic expression, paying attention to operand order.

A student's final grade F is calculated as 40% of their midterm score m plus 60% of their final exam score e, and then 5 points are added for attendance. Translate this rule into an algebraic expression for F.