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Functions & Inequalities STUDY GUIDESCORE ______

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1. Complete the table.

Find the rule for each function table.

Input
(x) / Output
(y)
0 / 3
1 / 5
2 / 7

2. 3. 4.

Write an inequality to represent each situation.

5. Anyone over age fourteen must buy an adult ticket. Use a for age.

6. Kendra can spent at most $8 on lunch. Use m for money.

Use the following information for Exercises 7-8. An adultmale gorilla eats about 40 pounds of vegetation every day.

7. Write an equation to find p, the number of pounds ofvegetation an adult male gorilla eats in d days.

8. Make a table to show the relationship between the numberof pounds p an adult male gorilla eats in d days. Then graph it.

Days, d
Pounds, p

Make a table and then graph the equation.

9. y= x + 1

x / y / (x, y)

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8.

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142Course 2 • Chapter 6 Equations and Inequalities

NAME ______DATE______PERIOD ______

Solve each equation.

10. 2x+ 6 = –4x11. x –17 = 2x + 3

12. 21 –6x = –11 –14x

Solve each inequality. Graph the solution on a number line.

13. y+ 6 2014. w –11 ≤ 3

15. 5k ≥ –4516. –2q –34

17. 718. + 5 ≤ 2

19. The length of each side of an equilateral triangle is decreased by4 inches, so the perimeter is now 27 inches. What is the originallength of each side of the equilateral triangle? Write and solve an equation for this problem.

20. There are 256 vehicles in a car dealership’s lot. At least 113 ofthem are hybrid vehicles. Write and solve an inequality thatdescribes how many vehicles, at most, are not hybrid.

21. It costs Guido $0.20 to send a text message from his cell phone.He has already spent $4 in text messages this month. If he has atotal of $10 that he can spend this month on text messages, writeand solve an inequality that will give the greatest number of textmessages that he can send.

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142Course 2 • Chapter 6 Equations and Inequalities