Final Fantasy! Exponents Polynomials Systems Real-Life Problems Grab Bag 10 10 10 10 10 20 20 20 20 20 30 30 30 30 30 40 40 40 40 40 50 50 50 50 50 Simplify (3a )(4a ) 5 2 Simplify 4 3 (8 xy ) Simplify (5m ) (m) 4 2 3 Simplify 2 0 5 3 ( 6a b c ) Simplify 3 4x y 4x 2 2 3x y y Simplify (m 2m 7m ) (4m m ) 3 2 5 3 Simplify 4b 9ab 3ab 2b ab 7a 2 2 2 Simplify ( x 5) 2 Solve for x 2x 7x 4 0 2 Solve for x 3 x 11x 1 0 2 Describe the graph of the system 3x 2 y 3 2 y 3x 6 Describe the graph of the system 2 y x5 3 2x 4 y 6 Solve for x 3x y 8 x y4 Is (2, 1) a solution to the system? y5 y x 1 Solve the problem below Two cell phone companies offer different plans. Company A offers a plan of $10 per month plus $.05 per minute. Company B offers a plan of $20 per month plus $.03 per minute. After how many minutes will the two companies charge the same amount in a month, AND how much will they charge? Solve the problem below Missy bought a motorcycle for $12,000. The value decreases at a rate of 6% per year. Use t A p(1 r ) to determine the value of the car in 2 years. Answer the problem below The distance from the Sun to the Earth is 92,000,000 miles. Write the number 92,000,000 in scientific notation. Solve the problem below Ryan has a collection of 30 moths in a container. The population increases about 11% per day. Using y a(1 r )t how many moths would you expect to have in 7 days? Write a system of inequalities for the situation below Rodney is buying ingredients for making cakes. He needs at least 20 pounds of ingredients and has $40 to spend. Each pound of sugar costs $1.20 and each pound of flour costs $.99. Solve the problem below Troy and his mom and sister went to a movie and spent $17. April and her two siblings and 3 adults went to the movies and spent $36. The equations below represent the situation where x is the cost of a student ticket and y is the cost of an adult ticket. What is the cost of each student ticket? 2 x y 17 3 x 3 y 36 Simplify 56 Simplify 50 3 2 Factor m 8m 33 2 Simplify 2 x (3x 4 x 1) 2 2 Answer the problem using A=lw The area of a rectangular box is 306cm². The length of the box is (x +2) cm and the width of the box is (x + 1) cm. Solve for x and give the dimensions of the box as whole numbers.