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Be Rational!

Be Rational!. Which is a rational number? The circumference of a can whose radius is 5 cm The diameter of a wheel whose radius is 18 inches The radius of a pie whose circumference is 25 inches The hypotenuse of a right triangle whose other sides are 6 and 10 cm.

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Be Rational!

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  1. Be Rational! Which is a rational number? The circumference of a can whose radius is 5 cm The diameter of a wheel whose radius is 18 inches The radius of a pie whose circumference is 25 inches The hypotenuse of a right triangle whose other sides are 6 and 10 cm Clipboard Math #9

  2. Extreme Exponents and Radical Radicals What is the value of x in the equation –8x² + 427 = –x² + 84? Show work to receive credit. Clipboard Math #9

  3. Scientific Notation If f(x) = x3 – 2x + 5, what is f(0.5)? Show work to receive credit. Clipboard Math #9

  4. Slippery Slope Solve and graph the inequality y > 2x + 4. Clipboard Math #9

  5. Balance those Equations What value of x makes this equation true?36 = 2x² Show work for credit. Clipboard Math #9

  6. Two Variable Problems What is the slope of the line shown in the graph below? Clipboard Math #9

  7. Funky Functions If the figures below are similar, what is the value of x? Clipboard Math #9

  8. Modeling Relationships Mr. Turner surveyed students in his Algebra I classes to learn whether they were going to the school play. Out of his 90 students, 72 students said they were going to the play. After school, Mr. Turner had students in the drama department make up posters that said, “75% of students at Murray High School are attending the play. Don’t be left out.” Was this statement accurate? Why or why not? Clipboard Math #9

  9. Graph This! Sam sells used cars. He earns a base salary of $200 a week and a 3% commission on sales. Which equation represents Sam’s weekly salary? Let w = weekly salary and s = sales and show all of your work • s = $200 + 0.03w • w = $200 + 0.03s • w = 0.03 ($200 + s) • s = w ($200 + 0.03) Clipboard Math #9

  10. Transforming Transformations The radius of a circle is tripled. How is the circumference affected? Clipboard Math #9

  11. Geometry Gems A shark lives in a cylindrical tank that has a radius of 3000 ft and a height of 250 ft. How much water does the shark have to swim in? Show work to receive credit. Clipboard Math #9

  12. Pythagorean Theorem In a right triangle, the legs are 15 inches and 20 inches. What is the length of the hypotenuse? Show work to receive credit. Clipboard Math #9

  13. Formula, Formula, Formula • The volume of a box is 125 in³.  The length measures 4 in. and the height measures 6.25 in.  What is the width of the box? • Show work to receive credit. Clipboard Math #9

  14. Scatterbrained Below is a scatter plot of income vs. age. What kind of correlation is shown? Clipboard Math #9

  15. Data, Data, Data Which two of the Rhodes family members have the same age? How do you know? Clipboard Math #9

  16. BONUS What is the value of (36 × 10–3) ÷ (9 × 10–3)? You must show your work to receive credit. Clipboard Math #9

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