Solving Multi-step Inequalities
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| 1) When is a closed dot used and when is an open dot used in graphing inequalities?
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| 2) Solve the inequality, and then choose the correct graph for the solution.
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| 3) Solve the inequality, and then choose the correct graph for the solution.
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| 4) Solve the inequality, and then choose the correct graph for the solution.
Hint: Solve the inequality for p first.
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| 5) Solve the inequality for y: 15 – 3y < y + 13 + y
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Measurement
In the following problems, determine if the type of accuracy being used is exact, approximation, or estimation.
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| 6) When finding the volume of the volleyball, Erica used 3.14 in the formula. What type of measurement accuracy is used?
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| 7) When determining how many yearbooks had been shipped, given 10 boxes with 24 yearbooks in each box, the advisor multiplied 10 times 24. What type of measurement accuracy is used?
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| 8) When planning for her wedding, Courtney had 247 confirmed guests. She planned that each guest would eat about 1 1/2 pieces of cake, so she ordered enough cake to serve 250 times 1.5. What type of measurement accuracy is used?
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| 9) The measured dimensions of a rectangle are given to the nearest whole unit. Find the greatest percent error.
Dimensions: 127 ft × 211 ft
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| 10) Which of the following is a unit rate? |
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| 11) To convert miles per hour to feet per second, which conversion factor would NOT be used?
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| 12) Erin visits an amusement park in the USA with her family. Erin is from London, England, where the metric system is used for measurement. She wants to ride the 300-foot-tall swing ride. She notices the height requirement is 52 inches. Erin’s height is 1.25 meters. Determine the missing numbers in the conversion steps provided below to calculate the required minimum height in meters. State the letter, and then the answer for the missing information in each part.
Hint: Use a search engine to find conversion factor for meters to feet, if necessary.
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| 13) Perform the calculations in the previous problem. State the required height (52 inches) in meters, and then state whether Erin is tall enough to be permitted to ride the thrilling ride.
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| 14) What property of addition does this statement illustrate? 8y = 0 + 8y
Click here to review the unit content explanation for Expressions, Variables, and Properties.
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| 15) Explain why the set of integers {... –3, –2, –1, 0, 1, 2, 3 ...} is NOT "closed" for division.
Hint: Think of two integers when divided would not give you an integer answer.
Click here to review the unit content explanation for Expressions, Variables, and Properties.
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| 17) Translate the following phrase into an algebraic expression: "twice the quantity of a number and 3."
Click here to review the unit content explanation for Expressions, Variables, and Properties.
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| 18) Apply the distributive property to simplify: 5(y + 1) + 2 – 2y + 11
Click here to review the unit content explanation for Expressions, Equations, and Inequalities.
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| 19) If you were directed by your school to complete Offline Activities for this course, please enter the information on the Log Entry form. |
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