$$\textbf{\textcolor{#4257b2}{Challenge}}$$

Find $yx^{149}$ for $x = 13$ and $y = 0$.

Collect like terms.

$$7a + 3b + 8a + 4b$$

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

$$4 \cdot (x \cdot y)$$

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

$$6 + (x + y)$$

Collect like terms.

$$16x + x$$

Simplify.

$$\dfrac{3\cdot(4xy)\cdot(5)}{2\cdot(3x) \cdot(4y)}$$

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.

$$(1 + m) + n$$

Simplify.

$$\dfrac{36 \cdot 2rh}{3\cdot(9hg)}$$

$\textbf{\textcolor{#4257b2}{Error Analysis}} \hspace{15pt}$ 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.

Collect like terms.

$$10a + a$$

Evaluate.

$\dfrac{n}{3m}$ for $n = 12$ and $m = 4$

What can be done to each side of the equation to get the variable alone on one side of the equal sign?

$$x - 12 = 34$$

Factor.

$$8a + 4 + 12c$$