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Expressions, Equations, and Inequalities

This is for Math 7 in HCPS.
by

Mattie Dovi

on 5 November 2012

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Transcript of Expressions, Equations, and Inequalities

Expressions Expressions, Equations, and Inequalities is about... understanding their similarities and differences by by through by with including identifying expressions, equations, and inequalities translating expressions and equations modeling equations solving equations solving and graphing inequalities solving two-step equations study extra hard!! UNIT QUESTIONS: You should be able to answer these by the time we complete this unit!! 1. When solving an equation or inequality, why is it important to perform identical operations on each side of the equal sign? 2. How can algebraic expressions and equations be written or translated? 3. How is solving an inequality similar to solving an equation, and how is different? 4. What is the difference between solving a one step equation and a two step equation? Expressions, Equations, and Inequalities COMPARE unit words CONTRAST AND previous unit Integers next unit Functions and Sequences Examples: Numerical Expression 3(-4) Algebraic Expression ( 3 + e ) - (-7) Definition: a name for a number Numerical Expression: includes at least ONE operation Algebraic Expression has a VARIABLE Recognizing... Equations Examples: 3 + a = 6 4 + n = -5 2 + n = 7 Definition: a math sentence that can include NUMBERS, VARIABLES (algebraic equation) and AT LEAST ONE OPERATION and AN EQUAL SIGN an equation means that two expressions are equal Inequalities Examples: 3 + 2 > 1 + 1 3 + x < 4 Definition: a math sentence that includes NUMBERS, VARIABLES, and AT LEAST ONE OPERATION and states that ONE EXPRESSION is GREATER THAN OR LESS THAN the other expression WHAT ON EARTH DOES THAT MEAN? is of more than less than less decreased by MEANING... subtract multiply subtract subtract add equals PRACTICING... Inequalities 2x + 4 > 5 Don't forget to graph it!! 2x + 4 + (-4) > 5 + (-4) (-2) + 2x > 1 + (-2) x > -1 2(5) + 4 > 5 10 + 4 > 5 14 > 5 -1 0 1 2 Don't forget to check it!! PRACTICING... Equations x + 2 = 8 x + 2 + (-2) = 8 + (-2) x = 6 6 + 2 = 8 8 = 8 Don't forget to model it!! Don't forget to check it!! x = PRACTICING... Expressions 4 + 2[3 x 5 + (8(3))] 4 + 2[3 x 5 + 24] 4 + 2[15 + 24] 4 + 2[39] 4 + 78 82 THE END!! use this as a study tool!! Watch as many times as you need, AND unit organizer
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