Expressions, Equations, and Functions

The edge of each box below is 1 unit long.

a. Make a table showing the perimeters of the first 3 figures in the pattern.

b. Look for a pattern in the perimeters of the shapes. Write an algebraic expression for the perimeter of Figure n.

c. What would be the perimeter of Figure 10 in the pattern?

The table shows the costs of certain items at a corner hardware store.

a. Write two expressions to represent the total cost of 3 boxes of nails, 2 boxes of screws, 2 hammers, and 1 electric drill.

b. What is the total cost of the items purchased?

Evaluate the expression below.

$\frac{5^3\times 4^2-5^2\times 4^3}{5\times 4}$

Use the equation $\mathbf{y}\mathbf{=}\mathbf{2}\mathbf{(}\mathbf{4}\mathbf{+}\mathbf{x}\mathbf{)}$ to answer each question.

a. Complete the table for each value of x.

b. Plot the points from the table on a coordinate grid. What do you notice about the points?

c. Make a conjecture about the relationship between the change in x and the change in y.