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Be Rational!

Be Rational!. What is the decimal expansion of the following fraction? 1/22 Hint: You must show work to receive credit. Extreme Exponents and Radical Radicals. Simplify ³√512. Hint: This is read as “the cube root of 512.”. Scientific Notation. Simplify the expression below.

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Be Rational!

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  1. Be Rational! What is the decimal expansion of the following fraction? 1/22 Hint: You must show work to receive credit.

  2. Extreme Exponents and Radical Radicals Simplify ³√512. Hint: This is read as “the cube root of 512.”

  3. Scientific Notation Simplify the expression below. (5 x 107) x (8 x 10-4)

  4. Slippery Slope Michael recorded the number of squash harvested last winter from his garden. His data is shown on the graph. At what rate were the squashes harvested? Explain your answer. • 1/10 squash per month. • ½ squash per month. • 2 squashes per month. • 10 squashes per month. Hint: To receive credit you must explain how you got your answer.

  5. Balance those Equations Solve for x. 14x + 9 = 7x + 36 Hint: Show work the clearly demonstrates how you got your answer.

  6. Two Variable Problems A system of equations is below and graphed. y = -7/2x + 3/2 y = 1/4x – 9/4 Find the solution to the system. Hint: Your answer will be in the form (x, y).

  7. Funky Functions Which of the following relations is a function? EXPLAIN. • (4, 4), (4, 6), (4, 3), (-8, 2) • (4, 0), (-4, 3), (6, 1), (-4, 5) • (6, 1), (-4, 4), (4, 1), (6, 2) • (4, 4), (-4, 2), (6, 1), (-8, 2) Hint: You must explain why you picked your answer.

  8. Modeling Relationships What is an equation of the relation shown in the table? Hint: Find slope and use the point-slope form of a line.

  9. Graph This! Kelly works at her own nail salon. Today, she did 9 manicures and received $42.75 in tips. She earned a total of $312.75 for the day. If x represents the cost of each manicure, write an equation that can be used to find the cost per manicure. Then solve for x.

  10. Transforming Transformations Describe the translation. Hint: Put answer in number of units left/right and number of units up/down.

  11. Geometry Gems In the figure, lines MN and GH are parallel. If m<V is 37, then what is m<W?

  12. Pythagorean Theorem If L = 12 cm and M = 5 cm, what is the length of N? Hint: Show work!

  13. Formula, Formula, Formula If r = 7 units and h = 7 units, what is the volume of the cylinder shown above? Use 3 for pi. Hint: Show work!

  14. Scatterbrained Based on the graph, what is a statement you can make about the relationship between apartment size and cost of rent?

  15. Data, Data, Data A marina collected data from a group of people regarding whether or not they have a boat and whether or not they have a jet ski. The two-way table below shows the data collected. Which correlation does the two-way table suggest? • Those who have a boat tend not to have a jet ski. • Those who do not have a boat tend not to have a jet ski. • None of the correlations listed are correct. • Those who have a boat tend to have a jet ski.

  16. BONUS Simplify the expression below. You must show all work to receive credit. (4.3 x 1013) + (3.6 x 1010)

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