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1. If the pattern continues, which term will consist of 21 squares? 2. What are the next three terms in the linear pattern shown above? 3. Write the following expression in standard form and expanded form. 4 2 4. What are the next two terms of the sequence shown below? 1. If the pattern continues, which term will consist of 21 squares? The pattern is increasing by two each time. If you continued the pattern it would be 4-9, 5-11, 613, 7-15, 8-17, 9-19, 1021. So the answer is the 10th term. 2. What are the next three terms in the linear pattern shown above? The pattern is you are adding four each time. So to continue the pattern would be • 9 + 4 = 13 • 13 + 4 = 17 •17 + 4 = 21 3. Write the following expression in standard form and expanded form. 4 2 Expanded Form 2*2*2*2 Standard Form 16 4. What are the next two terms of the sequence shown below? The pattern in the sequence is the numbers are being divided by 2. To continue the pattern you divide the last term by 2. • 100 / 2 = 50 • 50 / 2 = 25 5. Any number with an exponent of ZERO equals ____________. 6. When a power is raised to another power you keep the base and ___________ the exponents. 7. When dividing powers that have the same bases you keep the base and ______________ the exponents. 8. When multiplying powers that have the same bases you keep the base and ______________ the exponents. 5. • Any number with an exponent of ZERO equals ____________. 1, Any number to the power of 0 equals 1 except 0!!! 6. When a power is raised to another power you keep the base and ___________ the exponents. Multiply!!! Power to a power you multiply the powers!!! 7. When dividing powers that have the same bases you keep the base and ______________ the exponents. Subtract!!! When you are dividing numbers that have the same base you subtract the powers!!! 8. When multiplying powers that have the same bases you keep the base and ______________ the exponents. ADD!!! When you are multiplying numbers that have the same base you add the powers!!!!! 9. What is the sum of Show All Work!!!! 10. What is the product of Show All Work!!!! 11. Nathan’s grandmother sent him a box of fudge. Yesterday, he ate of the fudge. Today, he ate of what was left. Write a math sentence to show how much of the fudge Nathan ate today. 12. At a high school, of the students own cell phones. What percent of the students at the high school own cell phones? 9. What is the sum of 10. What is the product of Show All Work!!!! Turn Mixed Number into an Improper Fraction Show All Work!!!! When Multiplying Fractions you multiply straight across. Find a Common Denominator Add the Numerators and Simplify 11. Nathan’s grandmother sent him a box of fudge. Yesterday, he ate of the fudge. Today, he ate of what was left. Write a math sentence to show how much of the fudge Nathan ate today. 12. At a high school, of the students own cell phones. What percent of the students at the high school own cell phones? Divide the Numerator and the Denominator. 2 / 5 = Then Multiply your quotient by 100% to get your answer. 14. Evaluate the Expression. Show All Work!! 13. The table above shows a list of stocks. Which of the stocks has the LOWEST price at the end of the day? • 15. Some airlines have a limit of 2 pieces of checked baggage per person, with a total weight limit of 50 pounds. If Mike has one suitcase weighing 32.8 pounds, what is the most that his other suitcase can weigh? 16. Tammy and Bethany ran a lemonade stand. They spent $2.24 on plastic cups and $1.76 for their ingredients. They sold 20 cups of lemonade for $0.50 each. The two girls will split their profit equally. How much money will each girl receive? 14. Evaluate the Expression. Show All Work!! 13. The table above shows a list of stocks. Which of the stocks has the LOWEST price at the end of the day? You need to add or subtract the change to the starting price for each stock. The one with the lowest price ends up being Bistrow with a price of $14.125 Remember ORDER OF OPERATIONS!!! PLEASE EXCUSE MY DEAR AUNT SALLY! MULTIPLY THEN ADD 15. Some airlines have a limit of 2 pieces of checked baggage per person, with a total weight limit of 50 pounds. If Mike has one suitcase weighing 32.8 pounds, what is the most that his other suitcase can weigh? Subtract the weight of the first suitcase from the weight limit. You have to borrow to find the weight. 16. Tammy and Bethany ran a lemonade stand. They spent $2.24 on plastic cups and $1.76 for their ingredients. They sold 20 cups of lemonade for $.50 each. The two girls will split their profit equally. How much money will each girl receive? Profit = Income – Expense Add up how much the girls have spent, and figure out how much the girls have made. 2.24 + 1.76 = 4 (Expense) Income = .50 * 20 = 10. 10 – 4 = 6 So each girl will make $3 17. Write the following number, 93,020,000,000 in scientific notation? 18. Find the product and write in scientific notation. • 19. Which of the letters above could be the label for √3 on the number line above? 20. What is the is the best estimate for √89? Why? 18. Find the product and write in scientific notation. 17. Write the following number, 93,020,000,000 in scientific notation? Use the Commutative Property of Multiplication to rewrite the problem as: Move the decimal so there is only one number in front of it. Multiply the two numbers and combine like terms Rewrite the new number multiplied by ten to the power of the number of times you moved the decimal. Move the decimal one time, and change your power. 19. Which of the letters above could be the label for √3 on the number line above? The √3 is between We know that the know that the and 20. What is the is the best estimate for √89? Why? √89 is between the . = 1 and we = 2. This means The is 9 and the and . is 10 so our estimate should be between 9 and 10. 89 is closer to 81 than it is to 100 so our that the √3 has to be between 1 and guess should be less than 9.5 but not 2 which would be letter S!! by much. A good estimate would be 9.4!!