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Expressions, Equations, and Inequalities

Expressions, Equations, and Inequalities . Chapter 1. 1.3 Algebraic Expressions. Pg. 18-24 Obj: Learn how to evaluate and simplify algebraic expressions. A.SSE.1.a. 1.3 Algebraic Expressions.

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Expressions, Equations, and Inequalities

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  1. Expressions, Equations, and Inequalities Chapter 1

  2. 1.3 Algebraic Expressions • Pg. 18-24 • Obj: Learn how to evaluate and simplify algebraic expressions. • A.SSE.1.a

  3. 1.3 Algebraic Expressions • Evaluate – substitute a number for each variable in the expression and then simplify using the order of operations • Term – an expression that is a number, a variable, or the product of a number and one or more variables • Coefficient – the numerical factor of a term • Constant Term – a term with no variables • Like Terms – have the same variables raised to the same powers

  4. 1.4 Solving Equations • Pg. 26-32 • Obj: Learn how to solve equations and solve problems by writing equations. • A.CED.1, A.CED.4

  5. 1.4 Solving Equations • Equation – a statement that two expressions are equal • Solution of an Equation – finding all values of the variable that make the equation true • Inverse Operations – operations that “undo” each other • Identity – an equation that is true for every value of the variable • Literal Equation – an equation that uses at least two different letters as variables

  6. 1.4 Solving Equations • Properties of Equality • Reflexive – a=a • Symmetric – If a=b, then b=a • Transitive – If a=b and b=c, then a=c • Substitution – If a=b, then you can replace a with b and vice versa

  7. 1.4 Solving Equations • Properties of Equality • Addition – If a=b, then a+c=b+c. • Subtraction – If a=b, then a-c=b-c. • Multiplication – If a=b, then a(c)=b(c) • Division – If a=b, then a/c=b/c

  8. 1.5 Solving Inequalities • Pg. 33-40 • Obj: Learn how to solve and graph inequalities and how to write and solve compound inequalities. • A.CED.1

  9. 1.5 Solving Inequalities • Compound Inequality – Two inequalities joined with the words “and” or “or” • Inequality Symbols and Graphing • Greater Than - > - open circle • Greater Than or Equal to - > - closed circle • Less Than - < - open circle • Less Than or Equal to - < - closed circle

  10. 1.5 Solving Inequalities • Properties of Inequalities • Transitive – If a>b and b>c, then a>c • Addition – If a>b, then a+c>b+c • Subtraction – If a>b, then a-c>b-c • Multiplication – If a>b and c>0, then ac>bc • Division – If a>b and c>0, then a/c > b/c

  11. 1.6 Absolute Value Equations and Inequalities • Pg. 41 – 48 • Obj: Learn how to write and solve equations and inequalities involving absolute value. • A.SSE.1.b, A.CED.1

  12. 1.6 Absolute Value Equations and Inequalities • Absolute Value – the distance of a number from zero – always positive • Extraneous Solution – a solution derived from an original equation that is not a solution of the original equation

  13. 1.6 Absolute Value Equations and Inequalities

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