1. Today: C5 Test Grade Reports/Goal Evaluation 6.1 Instruction Practice No trumpets sound when the important decisions of our life are made. Destiny is made known silently. Agnes DeMille Algebra 1

2. Assignment: PSAE Worksheet #4 – Show work on all problems. No trumpets sound when the important decisions of our life are made. Destiny is made known silently. Agnes DeMille Algebra 1

3. Objectives: 1.Graph linear equations on a number line. 2.Solve one-step linear inequalities Vocabulary: linear inequalities, equivalent inequalities Solving One-Step Linear Inequalities 6.1

4. Vocabulary: linear inequality – an inequality where the variable has a power of 1, but not in a denominator, square root or absolute value symbols (, >) Solving One-Step Linear Inequalities 6.1 x < 5x 2 < -1 x > 0 x = 4 x < -1 2x < -1 x > 5x |x| < 12 x + y > -3

5. Vocabulary: linear inequality – an inequality with the variable has a power of 1, but not in a denominator, square root or absolute value symbols (, >) equivalent inequalities – inequalities that have same solutions Solving One-Step Linear Inequalities 6.1 x < 52x < 10x + 1 < 6

6. Vocabulary: linear inequality – an inequality with the variable has a power of 1, but not in a denominator, square root or absolute value symbols (, >) equivalent inequalities – inequalities that have same solutions The graph of a linear inequality in a one variable is the set of points on a number line that are solutions on the inequality. Solving One-Step Linear Inequalities 6.1 0 1234567891011-3-2-4-5-6-7-8-9-10-11

7. Graph the following inequalities on a number line: 1.x > 4 2.x < -6 3.x > 1 4.x < 7 Example 1 Graph Linear Inequalities 0 1234567891011-3-2-4-5-6-7-8-9-10-11 0 1234567891011-3-2-4-5-6-7-8-9-10-11 0 1234567891011-3-2-4-5-6-7-8-9-10-11 0 1234567891011-3-2-4-5-6-7-8-9-10-11

8. Review: Solving equations: 1.x + 8 = 12 2.-2x = 20 3.x – 12 = 10 4. 5. Solving One-Step Linear Inequalities 6.1 x = 4 x = -10 x = 22 x = -35 x = 12

9. Solving Inequalities: 1.x + 8 > 12 2.-2x < 20 3.x – 12 < 10 4. 5. Solving One-Step Linear Inequalities 6.1 x > 4 x > -10 x < 22 x < 35 x > 12 10 > 5 -10 -5 < -1 · 10 > 5 · -1 Inequality Rule: Multiply or divide by a negative, then switch the sign!

10. Solve the inequality and graph the solution: 1.x + 5 > -4 2.2x < 14 3.-2x < -6 4. Example 2 Solve and Graph the Inequality 0 1234567891011-3-2-4-5-6-7-8-9-10-11 0 1234567891011-3-2-4-5-6-7-8-9-10-11 0 1234567891011-3-2-4-5-6-7-8-9-10-11 0 1234567891011-3-2-4-5-6-7-8-9-10-11

11. Example 3 Real Life Inequalities If you scored a 78% on your last test, write an inequality that shows what you have to score to do better on the next one. x >.78

12. Example 3 Real Life Inequalities If 4 gallons of water weighs more than 33 lb, then write an inequality for the weight on 1 gallon of water? g > 8.25 lb

13. Assignment: 6.1 p337 #6-21, … 6.1 What is the rule concerning multiplying and dividing on both sides of an inequality? Inequality Rule: Multiply or divide by a negative, then switch the sign!

14. Assignment: 6.1 p337 #6-21, 23-53 odd, 62 – 65 C5 Progress Report Goal Evaluation No trumpets sound when the important decisions of our life are made. Destiny is made known silently. Agnes DeMille Algebra 1