$\textbf{\textcolor{#4257b2}{Error Analysis}} \hspace{15pt}$ Elaine wrote in her math journal "The square of any number is always greater than the number." Find a counterexample to show that Elaine's statement is incorrect.

Let $K$ be the amount Kelly earns. Geri earns three times as much as Kelly. Write an expression for the amount Geri earns.

Use the commutative and associative properties to write three equivalent expressions.

$$(1 + m) + n$$

Collect like terms.

$$12x + 2x$$

Use an associative property to write an equivalent expression.

$$(7 \cdot y) \cdot x$$

Solve mentally.

$$6m - 42$$

Evaluate.

$\dfrac{4p}{3q}$ for $p = 6$ and $q = 8$

Simplify.

$$\dfrac{33sba}{2\cdot(11a)}$$

Let $a$ be the amount Gil has left after buying a record. The record cost $\$8$. Write an expression for the amount he had before buying the record.

Factor.

$$3 + 12b + 36a$$

$\textbf{\textcolor{#4257b2}{Mental Math}} \hspace{15pt}$ Simplify; then solve mentally. The replacement set is all whole numbers.

$$4t^2 = 0$$

$\textbf{\textcolor{#4257b2}{Mathematical Reasoning}} \hspace{15pt}$ Square any number, then double the result. Is your answer always, sometimes, or never greater than the result of doubling the number, then squaring it? Justify your answer.

Use the commutative and associative properties to write three equivalent expressions.

$$(3 + x) + y$$

Let $w$ be Tom's weight last week. Tom lost $2$ pounds this week. Write an expression for Tom's weight this week.