Name Period Homework Packet Week #4 - Weebly

Name _____________________________________

Homework Packet Week #4

Period _____

Determine if each graph represents a function by using the Vertical Line Test. Each pair of graphs has been grouped together. Provide a rationale to

explain why these graphs may have been grouped together.

1.

2.

5.

Graph A

Graph B

3.

4.

Choose the term from the box that best completes each statement.

constant function

linear piecewise functions

linear functions

exponential functions

quadratic functions linear absolute value functions

6. The family of __________________ includes functions of the form , where a and b are real numbers, and b is greater than 0 but

is not equal to 1.

7. The family of __________________ includes functions of the form , where a and b are real numbers, and a is not equal to 0.

Name _____________________________________

Homework Packet Week #4

Period _____

Choose the graph that represents each function. Use your graphing calculator.

Write the exponential function represented by the table of values. 10.

8.

x

y

Graph A

Graph B

Graph C

0

2

1

1

2

3

9. Graph A

Graph B

Graph C

Write a system of linear equations to represent each problem situation. Define each variable. Then, graph the system of equations and estimate the break-even point. Explain what the break-even point represents with respect to the given problem situation.

11. Chen starts his own lawn mowing business. He initially spends $180 on a new lawnmower. For each yard he mows, he receives $20 and spends $4 on gas.

Name _____________________________________

Homework Packet Week #4

Period _____

Solve each system of equations by substitution. Determine whether the system is consistent or inconsistent.

Solve each system of equations using the linear combinations method.

15.

12.

13.

Solve each compound inequality. Then graph and describe the solution. 16.

Write a system of equations to represent each problem situation. Solve the system of equations using the linear combinations method.

14. The Pizza Barn sells one customer 3 large pepperoni pizzas and 2 orders

of breadsticks for $30. They sell another customer 4 large pepperoni

17.

or

pizzas and 3 orders of breadsticks for $41. How much does the Pizza Barn

charge for each pepperoni pizza and each order of breadsticks?

Name _____________________________________

Homework Packet Week #4

Period _____

Graph each linear inequality. 18.

Graph each inequality and determine if the ordered pair is a solution for the problem situation.

20. Olivia makes and sells muffins and scones at a school bake sale. She sells

muffins for $0.50 each and scones for $0.80 each. She hopes to raise at

least $20. The inequality

represents the possible ways

Olivia could reach her goal. Is the ordered pair (20, 32) a solution for the

problem situation?

19.

Define the term in your own words. 21. solution of a system of linear inequalities

Name _____________________________________

Homework Packet Week #4

Period _____

Graph each system of linear inequalities and identify two solutions. 22.

Graph the solution set for each system of linear inequalities. Label all points of intersection of the boundary lines. Then determine a point that satisfies all of the linear inequalities in the system.

23.

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