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Essential Question When is the best answer not the best solution ?. Unit Questions. What is an expression? What are like terms? How can an algebraic expression be translated? What do you believe a variable is? When can terms be combined?. Table of Contents.
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Essential Question When is the best answer not the best solution?
Unit Questions What is an expression? What are like terms? How can an algebraic expression be translated? What do you believe a variable is? When can terms be combined?
Table of Contents • Slide 1: Essential Question • Slide 2: Unit Questions • Slide 3: Table of Contents • Slide 4: Simplifying Expressions • Slide 5: Terms • Slide 6: Exponents • Slide 7: Variables • Slide 8: Constants • Slide 9: Like Terms • Slide 10: Combining Terms • Slide 11: Discussion Problems • Slide 12 - 37: Jeopardy Review • Slide 38: Website Listing
Simplifying Algebraic Expressions 3x + 2y – 10 +3x² - 8x + 2y - x² 3v + 6p +2p +2v = 5v + 8p Created By: Erin Morrison Instructor: Dr. Richard Holden For: ED 503 Date: September 8, 2009
What are Terms? 2n² + 10n - 8n Terms • Terms: • Quantities connected by addition or subtraction signs.
What are Exponents? 2n² 2n² 5x³ Exponents • Exponents: • a number placed above and after another number or variable • a number used to show the power the prior number or variable will be raised to. or
What are Variables? 2n² 5x³ Variables • Variables: • a quantity that is represented by a symbol or letter • assumes any given value or set of values. (a, b, c, p, x, z, y, m, n) or
What is a Constant? 2n² 5x³ Constants • Constants: • A number or quantity placed before another quantity • A number multiplyinganother quantity • Also known as a coefficient or
What are like terms? n³ + n³ n³ + 6n³ • Like terms: • Terms where the constants and exponents are alike. ****What is the solution?**** 7n³
How do you combine? Look for terms that are the same 2n + 5n² - n – 3n² 2n – n are alike5n² - 3n² are alike Add or Subtract the constants 2n-n = (1)n 5n² - 3n² = 2n² List in order by exponents Final answer: 2n² + n
Quick check Answer Box: 8x + 6n 7p 3n – 3n² Z + 2z³ 8x + 6n 6p + p 3n – 3n² 7z – 6z + 2z³ Identify the terms, variables, constants, and exponents in problems 2 and 4. Why can’t some of these terms be combined?
For More Information: Sites to explore: Math.com Purplemath.com CoolMath.com