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Find the next three terms in each sequence.

$5,5,6,8,11,15,\mathrm{....}$

In each figure, only one side of each regular pentagon is shared with another pentagon. Each side of each pentagon is 1 centimeter. If the pattern continues, what is the perimeter of a figure that has 6 pentagons?

F 15 cm

H 20 cm

G 25 cm

J 30 cm

Sean’s class is selling boxes of popcorn to raise money for a class trip. Sean’s class paid \(85 for the popcorn, and they are selling each box for \)1. The function$y=x−85$ represents their profit y for each box of popcorn sold x. Find the zero and describe what it means in this situation.

Suppose yvaries directly as x. Write a direct variation equation that relates x and y. Then solve.

Suppose you earn $127 for working 20 hours.

a. Write a direct variation equation relating your earning to the number of hours worked.

b. How much would you earn for working 35 hours?

Find the rate of change for the linear function represented in the table.

F increase \)6.50/h

G increase \(5.50/h

H decrease \)5.50/h

J decrease $6.50/h

Write an equation for the nth term of each arithmetic sequence.

$28,25,22,19,\mathrm{...}$

The table shows the distance travelled by sound in water. Write an equation for this sequence. Then find the time for sound to travel 72,300 feet.

Write an equation in function notation for this relation.

In this problem, you will explore $x$- and $y$- intercepts of graphs of linear equations.

a. If possible, use a straightedge to draw a line on a coordinate plane with each of the following characteristics.

b. For which characteristics were you able to create a line and for which characteristics were you unable to create a line? Explain.

c. What must be true of the $x$- and $y$- intercepts of a line?

Compare and contrast the graphs of$y=2x+1$ with the domain$\{1,2,3,4\}$ and$y=2x+1$ with the domain of all real numbers.