If a circle is divided into 8 equal parts to represent eighths and you shade 5 of those parts, which fraction is represented?

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?

Three times a number is 81. Use this phrase to write an equation and also solve for the unknown variable.

Translate and solve: "One third of a number plus four equals ten."

Use the grouping and distribution strategy to translate and solve: "The square of a number minus twice the number is 15." Translate into an equation and find all real solutions.

Rewrite 6(x - 5) without parentheses using the distributive property and simplify.

Expand and simplify 2(3a - 4b + 5c - 6).

A garden's length is given by 3(x + 2) meters and its width is 2 meters. Express the area in simplified form by distributing and simplifying coefficients.