Be Rational!

1. A surveyor determined that the distance across a pond is (2255)½ feet. Approximately, what is this distance? How did you find your answer? Be Rational! Clipboard Math #23

2. Extreme Exponents and Radical Radicals The area of a square is 800 square meters. The lengths of its side is between which two whole numbers? Clipboard Math #23

3. Scientific Notation Write an expression that is equivalent to (6.2 × 108)(30,100). ***Show work to receive credit. Clipboard Math #23

4. Slippery Slope Write an equation of a line that includes all of the points listed in the table. ***Show work to receive credit. Clipboard Math #23

5. Balance those Equations The drama club is selling tickets to a play for $10 each. The cost to rent the theater and costumes is $500. In addition, the printers are charging $1 per ticket to print the tickets. How many tickets must the drama club sell to make a profit? ***Please show work to receive credit. Clipboard Math #23

6. Two Variable Problems Write an equation of a line that goes through points (-3, -2) and (3, 6). What is the x-intercept of this line? ***Please show work to receive credit. Clipboard Math #23

7. Funky Functions Which set of ordered pairs represents a linear relationship. Explain how you found your answer. Clipboard Math #23

8. Modeling Relationships The price of a large pizza is given by the formula P(t) = 1.5t + 7.50, where P(t) is the price of the pizza and t is the number of toppings. What is the numerical value for the slope and what does the slope represent? Clipboard Math #23

9. Graph This! • In January, David began putting the same amount of money each month into his account. • In February, he had $85.00 in his account, not including interest. • By June, he had $135.00 in his account, not including interest. • How much money was in the savings account before David began saving each month? • ***Show work to receive credit. Clipboard Math #23

10. Transforming Transformations Clipboard Math #23

11. Geometry Gems The diagram shows a company’s current packaging of its plant food. The company will double the radius but keep the height the same. By what factor will the volume increase? ***Show work to receive credit. Clipboard Math #23

12. Pythagorean Theorem A ladder leans against the side of a building. The base of the ladder is 5 meters from the building, and the top is 12 meters above the ground. What is the length of the ladder? ***Please show work to receive credit. Clipboard Math #23

13. Formula, Formula, Formula A hole shaped like a rectangular prism is 3 feet wide, 5 feet long, and 3 feet deep. If the hole is made 2 feet deeper, by how much will the volume of the hole increase? ***Show work to receive credit. Clipboard Math #23

14. Scatterbrained Jose is collecting data comparing air conditioning costs to the daily outdoor temperature during the summer of 2012. When Jose draws his scatterplot, which variable should be used as the dependent variable? Clipboard Math #23

15. Data, Data, Data Which point shows the least expensive cost per minute for a long-distance call? Explain how you found your answer. Clipboard Math #23

16. BONUS A survey was conducted to determine the favorite food served in the cafeteria.. The results are presented in the table. What percentage of females preferred Nachos? ***Please show work to receive credit. Clipboard Math #23