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1. Find the sum of (2p3 - 8) and (p= + 9p + 18) 2. Subtract (7x3 - 4x + 2) from (8x3 - x
1. Find the sum of (2p3 - 8) and (p= + 9p + 18) 2. Subtract (7x3 - 4x + 2) from (8x3 - x + 6) 3. The fuel efficiency (in miles per gallon) of a bus going at a speed of x miles per hour is given by the polynomial - =_x2 + =x. Find the fuel efficiency when x = 40 mph. 4. The number of feet it takes for a car traveling at x miles per hour to stop on dry, level concrete is given by the polynomial 0.06x3 + 1.1x. Find the stopping distance when x = 60mph. 5. Simplify the expression using the Power Property of Exponents. (u4 )2 6. Simplify the expression using the Power Property of Exponents. (x3)7 7. Simplify the expression. (xzy)' 8. Evaluate: 50 9. Simplify10. Simplify: (23) (ay)2 (-673)2 11. In May 2010, the Food and Beverage Manufacturers pledged to reduce their products by 1.5 trillion calories by the end of 2015. (a) Write 1.5 trillion in decimal notation. (b) Write 1.5 trillion in scientific notation. 12. The fuel efficiency (in miles per gallon) of a bus going at a speed of x miles per hour is given by the polynomial - -_ x2 + x. Find the fuel efficiency when x = 20mph. 13. A hiker drops a pebble from a bridge 240 feet above a canyon. The polynomial -16t= + 240 gives the height of the pebble t seconds a after it was dropped. Find the height when t = 3. 14. Factor the Greatest Common Factor from the following polynomials. a). 8p= + 32p + 48 b) -16t2 + 80t + 4 15. Determine which ordered pairs are solutions of the given equation: y = 4x - 3 a . (0, 3) b. (1, 1) C. (1, 0) 16. Find the intercepts: x + 4y = 8 17. Find the slope of the line through the given points: (8 5) and (6, 3) 18. A pipe slopes down 1/2 inch per foot. Find the slope of the pipe. 19. Find the slope of the line -2x + 3y = 11 20. Simplify: (6man) (5m*n3)
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