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1.2.1 – Algebraic Expressions, PEMDAS

1.2.1 – Algebraic Expressions, PEMDAS. You are familiar with equations… right? Algebraic expressions are similar, but no equal signs (not solving for anything) Combination of variables (letter to represent one or more numbers) and operations (+, -, etc.). PEMDAS.

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1.2.1 – Algebraic Expressions, PEMDAS

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  1. 1.2.1 – Algebraic Expressions, PEMDAS

  2. You are familiar with equations…right? • Algebraic expressions are similar, but no equal signs (not solving for anything) • Combination of variables (letter to represent one or more numbers) and operations (+, -, etc.)

  3. PEMDAS • We will encounter numerous types of algebraic expressions; some may be used to model real life scenarios or situations • 2x + 9 • 3(p – 7) + 10 • Before evaluating them, always must consider the order of operations • Gives us a guide on how to evaluate expressions correctly • PEMDAS

  4. P = parenthesis • Always start on inner most set; work your way out • E = exponents • Always check signs • M = multiplication • D = division • A = addition • S = subtraction

  5. Typically, after you substitute a value for a variable, most follow the order of operations to obtain the correct answer • Example. Evaluate 3(x + 1) – 2 if x = 4 • What do you do with the x = 4 part?

  6. Example. Evaluate ((x + 2)/2) + 9 x 2 for x = 5

  7. Example. Evaluate -2 ∕2 + 6 x 4 • Example. Evaluate 4 – 3(7 + 2)

  8. Powers • With large scale multiplication, need a quick way to complete it • Multiplication is essentially fast hand addition • We use powers for repeated multiplication • Two parts; • Base = factor being multiplied • Exponent = numbers of times multiplied • Example. 7 x 7 x 7 = 73

  9. With powers, always have to be careful about negative signs and parenthesis (use our knowledge of PEMDAS to help) • Example. Evaluate the following expressions • A) 23 • B) (-2)3 • C) -23

  10. Example. Evaluate the following. • A) -162 • B) 63 • C) -25 • D) (-2)5

  11. Not all exponents are the same! Always be aware of the negative sign • It’s like a “-1” • Using multiplication after exponents

  12. Example. Evaluate -4p2 + 4p – 2 if p = 2. • Example. Evaluate 2x2 + 2x – 1 if x = -2.

  13. Assignment • Pg. 12 • 15-19 odd, 21-27 odd, 33-39 odd, 48, 50, 54

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