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Five-Minute Check (over Lesson 1–4) CCSS Then/Now New Vocabulary Key Concept: Addition / Subtraction Property of Inequality Example 1: Solve an Inequality Using Addition or Subtraction Key Concept: Multiplication / Division Property of Inequality Example 2: Solve an Inequality Using Multiplication or Division Example 3: Solve Multi-Step Inequalities Example 4: Write and Solve an Inequality Lesson Menu

Evaluate the expression |4w + 3| if w = –2. B. 7 C. 11 D. 12 5-Minute Check 1

Evaluate the expression |2x + y| if x = 1.5 and y = 4. B. 7 C. 10 D. 20 5-Minute Check 2

Solve the equation |b + 20| = 21. C. {–1, 1} D. {1, 2} 5-Minute Check 4

What is the solution to the equation 2|3x – 1| – 1 = –5? B. C. D. 5-Minute Check 6

Mathematical Practices 4 Model with mathematics. Content Standards A.CED.1 Create equations and inequalities in one variable and use them to solve problems. A.CED.3 Represent constraints by equations or inequalities, and by systems of equations and/or inequalities, and interpret solutions as viable or nonviable options in a modeling context. Mathematical Practices 4 Model with mathematics. CCSS

You solved equations involving absolute values. Solve one-step inequalities. Solve multi-step inequalities. Then/Now

set-builder notation Vocabulary

Concept

Solve 4y – 3 < 5y + 2. Graph the solution set on a number line. Solve an Inequality Using Addition or Subtraction Solve 4y – 3 < 5y + 2. Graph the solution set on a number line. 4y – 3 < 5y + 2 Original inequality 4y – 3 – 4y < 5y + 2 – 4y Subtract 4y from each side. –3 < y + 2 Simplify. –3 – 2 < y + 2 – 2 Subtract 2 from each side. –5 < y Simplify. y > –5 Rewrite with y first. Example 1

A circle means that this point is not included in the solution set. Solve an Inequality Using Addition or Subtraction Answer: Any real number greater than –5 is a solution of this inequality. A circle means that this point is not included in the solution set. Example 1

Which graph represents the solution to 6x – 2 < 5x + 7? B. C. D. Example 1

Concept

Solve 12  –0.3p. Graph the solution set on a number line. Solve an Inequality Using Multiplication or Division Solve 12  –0.3p. Graph the solution set on a number line. Original inequality Divide each side by –0.3, reversing the inequality symbol. Simplify. Rewrite with p first. Example 2

Answer: The solution set is p | p  –40. Solve an Inequality Using Multiplication or Division Answer: The solution set is p | p  –40. A dot means that this point is included in the solution set. Example 2

What is the solution to –3x  21? A. {x | x  –7} B. {x | x  –7} C. {x | x  7} D. {x | x  7} Example 2

Divide each side by –3, reversing the inequality symbol. Solve Multi-Step Inequalities Original inequality Multiply each side by 2. Add –x to each side. Divide each side by –3, reversing the inequality symbol. Example 3

Solve Multi-Step Inequalities Example 3

A. B. C. D. Example 3

End of the Lesson

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