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**Big Ideas Ch 3 Expression and Equations**

3. 1 Algebraic Expressions

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**How are they different? Expression Equation No = Can only simplify**

Give an Numerical Expression: 3 +4 Give an Algebraic Expressions 3x+4 Has an = Solve for missing variable Give a Numerical Equation 3+4 = 7 Give an Algebraic Equation 3x +4 =7

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**Your brother tries to tell you that 6x +4 -2x is the same thing as 8x+4.**

Is it? No!!! Explain why your brother’s answer is incorrect. It is incorrect because 6x -2x =4x not 8x What is the correct answer? The correct answer is 4x +4 How did you get the correct answer?

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Terms After you turn all subtraction into addition using (KFC) terms are what is separated by addition signs

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Like Terms Terms that have the same variables raised to the same exponent

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Simplest Form Algebraic expressions are in the simplest form when it has not like terms and no parentheses.

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Combine Like Terms If terms are alike, then you have add or subtract the coefficients (number in front of the variable) and keep the variable to its exponent.

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simplify 14- 3z +8 +z 14+ (-3z) z -3z +1z +14+8 -2 z +22

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**Distributive Property**

If there are parentheses and a number on the outside of the () distribute the number through the () then collect like terms

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**-2 (g +4) +7g -2(g) +-2(4) +7g -2g +(-8) +7g -2g +7g +(-8) 5g +(-8)**

simplify -2 (g +4) +7g -2(g) +-2(4) +7g -2g +(-8) +7g -2g +7g +(-8) 5g +(-8)

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Simplify

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Homework Big Ideas Text Book Page 84 (1-20, 24) all

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