Factors Equivalent Rules of Negative & Scientific & GCF Fractions Exponents 0 Exponents Notation 100 100 100 100 100 200 200 200 200 200 300 300 300 300 300 400 400 400 400 400 500 500 500 500 500 Final Jeopardy List the factors of the following monomial: 2 3 4 10x y z 2·5·x·x·y·y·y·z·z·z· z 100 Find the greatest common factor (GCF) of the monomials: 32xy, 20y2 4y 200 Find the GCF of the monomials: 16a2b3c4, 28ab4c3 4ab3c3 300 You work at a fruit stand. You are putting fruit baskets together. You have 30 oranges, 24 bananas, 42 apples, and 12 peaches. What is the greatest number of identical fruit baskets you can make if you use all the fruit? 6 fruit baskets 400 Find the GCF of the monomials: 2 2 2 65x y z , xz2 2 60xyz , 2 3 98x z 500 Write the fraction in simplest form: 12 46 Is this fraction equivalent to: 6 23 ; yes 24 92 100 Write the fraction in simplest form. 135mn4 2 50n 27mn2 10 200 Write the fraction below in simplest form: 5 3 36x y 42xy4 6x4 7y 300 Write the fraction in simplest form: 14a2b4c7 49ab6c3 2ac4 7b2 400 Write the fraction in simplest form: 32x2y2 64x5y5 1 1 2x3y3 500 Find the product. Write your answer using exponents. 4 3 2 5 ·5 ·5 100 59 Find the missing exponent. m? = m15 m9 24 200 Simplify. 18s5 · s2 4 15s 6s3 5 300 Find the area of the rectangle: 6x3yz 7x2y3z2 42x5y4z3 400 Simplify. 10q2r·12q4t7 36r2t2·25q3r3 2q3t5 15r4 500 Find the product. Write your answer using only positive exponents. v-10·v6 1 v4 100 Write the expression without using a fraction bar. 6 42p r11 42p6r-11 200 Find the quotient. Write your answer using only positive exponents. -41 28w -26 35w __4__ 5w15 300 Find the product. Write your answer using only positive exponents. 7b7c-10d0 · 9b-12c-5d5 63d5 b5c15 400 Without doing the calculations, determine which is greater, -2 14 14 or 2 . Explain how you know your answer is correct. 214 14-2 > because 214 > 1 and 14-2 < 1. 500 Write the following in scientific notation. 1) 545,360,000 2) 0.000003579 1) 5.4536 x 108 2) 3.579 x 10-6 100 Write the following in standard form. 1) 8.4574 x 108 2) 6.89 x 1) 845,740,000 2) .000000689 -7 10 200 Write the number in scientific notation. 1) Volume (in cubic kilometers) of water in Lake Superior: 12,100 2) Approximate density (in grams per milliliter) of one nitrogen atom: 0.001251 300 1) 1.21 x 104 2) 1.251 x 10-3 Order the numbers from least to greatest. 2.6 x 104, 3500, 9.2 x 104 3500, 2.6 x 104, 9.2 x 104 400 Find the product. Write your answer in scientific notation. (7.2 x 102)(3 x 105) 2.16 x 108 500 The Final Jeopardy Category is: Please record your wager. Find the value of n that makes the statement below true and explain how you found your answer. 3n+1 2 2-4 = 17 2 4; Subtract the exponents on the left-hand side to get 3n + 5. Then set 3n + 5 = 17 and solve for n.