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Solve the following equations for x: 1) 2) 3) 4) 5) 6)

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Presentation on theme: "Solve the following equations for x: 1) 2) 3) 4) 5) 6)"— Presentation transcript:

1 Solve the following equations for x: 1) 2) 3) 4) 5) 6)

2 1. 6x + 12 = -15 + 3x 2. 2x + 3(x – 5) = 25 3. 20 – 7x = -4(2x – 6) 4. 2x + 15 – 5x = 3(x – 7)

3 What is the value of w if s = 220 and t = 28? a) 82 b) 248 c) 124 d) 412

4 CCGPS Coordinate Algebra Sept. 12, 2012 Today’s Question: How do I solve equations and inequalities? Standard: MCC9-12.A.REI.1, MCC9-12.A.REI.3

5 Anticipation Guide Read each statement below. Using your previous knowledge, determine if the statements are true or false. When we finish the unit on November 13th, we will complete the third column. Statement True/False Prediction True/False & Explanation Inequalities are solved using the same steps as equations. Inequalities have only 1 solution. You flip the inequality symbol when multiplying/dividing by a negative number. When graphing an inequality, the symbols use a closed circle. Compound inequalities are two inequalities placed together The term “or” in an inequality means that the solution will be the intersection of two sets. When graphing a linear inequality, the symbols uses a dotted/dashed line.

6 1.Distribute. 2. Combine like terms. 3. Move variable on right side to left side (add or subtract). 4. Get rid of constant (add or subtract). 5. Get rid of coefficient or denominator (divide or multiply).

7 Inequality Signs When graphing the number use a … Closed Circle OPEN Circle

8 Inequality Signs Read left to right: a < b a is less than b a < b a is less than or equal to b a > b a is greater than b a > b a is greater than or equal to b

9 Determine whether the given number is a solution of the inequality. 1.) x + 3 < 6 ; 5 2.) 2x – 3 > -3 ; 1 3.) 4x – 1  3x + 2 ; 3 8 < 6 False, not a solution 2 – 3 > -3 True, it is a solution -1 > -3 12 – 1  9 + 2 True, it is a solution 11  11

10 Graph using a number line Opened Circle Shade to the left 0 1 2 3 4 5 Closed Circle Shade to the right -5 -4 -3 -2 -1

11 6. x + 4 > 7 -4 -4 x > 3 Solve. Then graph.

12 Try These Solve then graph.

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14 Inequalities Definition Characteristics 3 examples that are inequalities 3 examples that are not inequalities

15 Inequalities Definition An inequality is a statement with a symbol of, or ≥ between numerical or variable expressions Characteristics 3 examples that are inequalities 3 examples that are not inequalities Set of points on a number line Graphing: Open or closed circle and a line

16 Assignment 1 (Classwork) Jaden’s Phone Plan Assignment 2 (Homework) Worksheet


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