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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