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Activator 9 – 2 - 08

Activator 9 – 2 - 08. First, have HW out ready for me to come by and check. Next, turn to P. 16. Read the passage at the top of the page. Working with your group, answer the following: Locate the inequality in the passage. What does the inequality symbol < mean?

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Activator 9 – 2 - 08

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  1. Activator 9 – 2 - 08 • First, have HW out ready for me to come by and check. • Next, turn to P. 16. Read the passage at the top of the page. • Working with your group, answer the following: • Locate the inequality in the passage. What does the inequality symbol < mean? • Rewrite the inequality using words. • What does the variable n in the inequality represent? • Why is n multiplied by 5?

  2. How are open sentence equations and inequalities solved? • Open sentence – a mathematical sentence with one or more variables. • The process of finding a value that makes an open sentence true is called solving the opensentence. • A set of numbers from which replacements for a variable may be chosen is called a replacement set. • The solution set is the set of elements that makes the open sentence true.

  3. Equations and Inequalities • Equations • Has an equal sign. - Is an open math sentence. • Has one solution. • Can be solved using order of operations or by using a replacement set. • Inequality • Has an inequality symbol: <, >, <, > • Is an open math sentence. • Has infinite number of solutions. • Can be solved using order of operations or by using a replacement set.

  4. To use a replacement set to solve an equation or inequality: • Find the solution set for each equation if the replacement set is (2, 3, 4, 5, 6). • A. 4a + 7 = 23 • B. 3(8 – b) = 6 *Hint, begin by using theDistributive Property. • Find the solution set for the inequality if the replacement set is (20, 21, 22, 23, 24) • C. Z + 11 > 32 *Hint, inequalities have more than one solution.

  5. To use order of operations to find the solution set of an equation or inequality: • You can also solve an equation by applying the order of operations. • Solve the following: • 5(8 – 2) • 18 – (5 – 3)^3 = k Hint, the fraction bar is a grouping symbol.

  6. Solve the following: • A four-wheel-drive tour of Canyon de Chelly National Monument in Arizona cost $45 for the first vehicle and $15 dollars for each additional vehicle. How many vehicles can the Velo family take on the tour if they want to spend no more than $100? • First think – do I set up an equation or an inequality? Look for key words to decide. • Set up and solve. Show all work.

  7. Summarizer • Get out a clean sheet of paper. Turn landscape style. • Create a double bubble map comparing equations and inequalities.

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