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Be Rational!

Be Rational!. Extreme Exponents and Radical Radicals. What is the simplified form of ( x + 8)( x − 8)?. Scientific Notation.

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Be Rational!

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  1. Be Rational! Clipboard Math #18

  2. Extreme Exponents and Radical Radicals What is the simplified form of (x + 8)(x − 8)? Clipboard Math #18

  3. Scientific Notation A 48-inch board is to be cut into three pieces. The second piece will be three times as long as the first piece. The third piece will be four times as long as the first piece. What is the length of each piece? Show all your work. Clipboard Math #18

  4. Slippery Slope What is the equation of a line that is parallel to y = 4x − 6 and passes through (2,4)? Show work. Put answer in y = mx+b form. Clipboard Math #18

  5. Balance those Equations Pam placed two orders with a restaurant. The first order was for 24 hamburgers and 22 hot dogs, totaling $110.50. The second order was for 30 hamburgers and 48 hot dogs, totaling $174. How much would Pam pay for 3 hot dogs? Clipboard Math #18

  6. Two Variable Problems • What is the solution to this system of equations?y = 2x + 13x + 2y + 5 = 0 Clipboard Math #18

  7. Funky Functions • The cost of renting a car is $49.99 per day, plus $0.26 per mile. John rents a car for 5 days and is charged $270.23. How many miles did he drive the car? • Show your work. Clipboard Math #18

  8. Modeling Relationships The formula for compound interest is A = P(1 + r)t, where A is the total amount owed, P is the amount borrowed, r is the interest rate, and t is the number of years. What is the total amount of money that would be owed if $150,000 were borrowed at 6% for 15 years? **You may use a calculator on this problem, but write down what you are entering into your calculator. Clipboard Math #18

  9. Graph This! • The equation y = 120.882(1.012)x represents the population of the United States from 1930 through 2000. In this equation, y is the population in millions, and x is the number of years after 1930. What was the approximate population of the United States in 1950? • **You may use a calculator on this problem, but write down what you are entering into your calculator. Clipboard Math #18

  10. Transforming Transformations • The distance a spring extends is directly proportional to the amount of weight hung from the spring. A spring is extended 28 inches with a 12-lb weight. How far will the spring be extended with a 30-lb weight? Clipboard Math #18

  11. Geometry Gems What is the greatest common factor of   –3x2y − 6xy2 + 9y3? Clipboard Math #18

  12. Pythagorean Theorem What is the distance between point P (1, 2) and point Q(-1, -3)? Show work to receive credit. Clipboard Math #18

  13. Formula, Formula, Formula • A spherical scope of ice cream has a radius of 2 inches. If Bill is going to consume thee scopes, what is the volume of ice cream he will eat? • Show work to receive credit. Clipboard Math #18

  14. Scatterbrained Clipboard Math #18

  15. Data, Data, Data Using the following grading scale, which student earned a D and in which subject? Clipboard Math #18

  16. BONUS Solve for x. 2x2 + 7x + 6 = 0 You must show your work to receive credit. Clipboard Math #18

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