1. Expressions, Equations, and Inequalities
Chapter 1

2. 1.3 Algebraic ExpressionsPg
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
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
Solutions of Absolute Value Statements
|x| = a
x = a or x = -a
|x| < a or |x| < a
x < a and x > -a or
x < a and x > -a
|x| > a or |x| > a
x > a or x < -a or
x > a or x > -a