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This document provides an introduction to simplifying algebraic expressions. It defines key terms like numerical expressions, algebraic expressions, equations, inequalities, variables, grouping symbols, exponential expressions, and simplified expressions. It explains how to simplify expressions using the order of operations PEMDAS (parentheses, exponents, multiplication, division, addition, subtraction) and provides examples of simplifying expressions and evaluating expressions for given variable values.
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![Some vocabulary you should know!
Numerical Expression (
5, 2 × 3, 2 3 − 2 2
)
Algebraic Expression (
n, 2 y + 1, 2 x − 2 2
)
Equation 3 + 4 = 7, 5 x − 2 = 28
Inequality 3 < 7, 5 x − 2 ≥ 28
Variable we will use any letter of the alphabet except i and o
Grouping symbols ( ), [ ],](data:image/gif;base64,R0lGODlhAQABAIAAAAAAAP///yH5BAEAAAAALAAAAAABAAEAAAIBRAA7)
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For more instructional resources, CLICK me here and DON'T FORGET TO SUBSCRIBE!
https://tinyurl.com/y9muob6q
LIKE and FOLLOW me here!
https://tinyurl.com/ycjp8r7u
https://tinyurl.com/ybo27k2u
Reference:
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Aa c1 s2
- 1. Simplifying Expressions Advanced Algebra – pp 6 - 12
- 2. Some vocabulary you should know! Numerical Expression ( 5, 2 × 3, 2 3 − 2 2 ) Algebraic Expression ( n, 2 y + 1, 2 x − 2 2 ) Equation 3 + 4 = 7, 5 x − 2 = 28 Inequality 3 < 7, 5 x − 2 ≥ 28 Variable we will use any letter of the alphabet except i and o Grouping symbols ( ), [ ],
- 3. Some vocabulary you should know! Exponential Expression 2 power or base 3 exponent Simplified Expression An expression that has all like terms combined Evaluating an Expression Replacing each variable in an algebraic expression with a given value and finding the value of the expression
- 4. Order of Operations • First, clear grouping symbols starting with the innermost and working outward. • Simplify powers • Multiply and/or divide from left to right • Add and/or subtract from left to right PEMDAS pa ex nthe m nen s di ly ad e su vid ul po si bt re d tip ts ra ct
- 5. examples Use <, =, or > to make the statement true. 3 × 7 ___ 12 + 7 > Simplify: 27 ÷ 3 − 3 ⋅ 2 = 9 – 6 = 3 ( 9 − 3) ÷ 4 − 1 = 36 ÷ 4 – 1 = 9 – 1 = 8 2 [ 45 − 3 − 4 ( 2 )] = 4[5 – (9 – 4)] = 4[5 – 5] =4·0=0
- 6. examples Evaluate the expression if x = 7, y = 6, and z = 3. x+z x+ y 7+3 7+6 10 13 + = + = + y z 6 3 6 3 5 13 18 = + = =6 3 3 3 Evaluate the expression if x = 6, y = -3. x + 4 y = 6 + 4 - 3 = 36 + 4( 3) = 36 + 12 = 48 2 2
- 7. • Some orals for practice: – p 10: 3, 11, 15, 20, 23 • Assignment: p 10 W: 3 – 48 every 3rd