PPT-Topic 2: Solving Equations & Inequalities in One Variable

Algebra 1 Solving MultiStep Equations Advanced Special Types of Equations Literal Equations Graphing Inequalities Solving Inequalities Solving Compound Inequalities Absolute Value Equations amp Inequalities. 4 The student will solve multistep linear and quadratic equations in two variables including b justifying st eps used in simplifying expressions and solving equations using field properties and axioms of equality that are valid for the set of real nu using Elimination. Steps:. 1. Place both equations in Standard Form, A. x . + B. y . = C.. 2. Determine which variable to eliminate with Addition or Subtraction.. 3. Solve for the variable left.. 1. 1. 2.. 3. 4.. Absolute Value Equations. 2. Absolute Value Inequalities. Absolute value inequalities are solved in the same way linear inequalities are solved. . Change the inequality to an equality and solve.. Multiplication . Equations. 3-3 Solving . Multiplication . Equations. Solve. Solution. GOAL. Find the value of the variable that makes the. equation TRUE.. The value that makes the equation true.. To isolate the variable (have the variable on one. Substitution and Elimination. Elimination. Arrange the equations in STANDARD FORM. . . Your goal is to find a way to eliminate one of the variables so you can solve a one-variable equation.. . If you read from left to right . 10 . “is greater than “ . 5. . X. If you read from right to left . 5. . “is less than “ . 10. . X. If you read from left to right . 5. . “is less than “ . Ch. 1.6. Absolute Value Equations and Inequalities . EQ: How can you solve absolute value equations and inequalities? I Will solve absolute value equations and inequalities. . Bell Work. Solve the inequality. Graph the solution. . Unit 8 . – Solving Inequalities. Vocabulary. Inequality. – A mathematical sentence that compares two unequal expressions using one of the symbols:. < (less than). > (greater than) . ≤ (less than or equal to). Lesson 2: One-Step Inequalities. Cornell Notes Header. Topic:. . Inequalities . & Two-Step Equations (Unit 7 pg. 2). E.Q.: . How. are one-step equations similar and different than one-step inequalities?. If you read from left to right . 10 . “is greater than “ . 5. . X. If you read from right to left . 5. . “is less than “ . 10. . X. If you read from left to right . 5. . “is less than “ . Only those with single-step equation experience dare proceed!. Section 6.4. Equation Solving. When we solve equations, our goal is to find the . _______. . of the . variable. ; the . _________. . to the equation. . A.CED.1 Create equations and inequalities in one variable and use them to solve problems. Include equations arising from linear and exponential factors. .  . SWBAT create a single variable equation. 5.3 Solving Multiple Step Inequalities Algebra 1 INEQUALITIES The relationship between two expressions that are NOT necessarily equal. Less Than Under Fewer Great er Than More Than Sixth. Edition. Chapter . 2. Linear Functions and Equations. Copyright © . 2018, 2014, 2010 . Pearson Education, Inc. All Rights Reserved. 2.5 Absolute Value Equations and Inequalities. Evaluate and graph the absolute value function.