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Big Ideas Ch 3 Expression and Equations 3. 1 Algebraic Expressions How are they different? Expression • No = • Can only simplify Equation • Has an = • Solve for missing variable Give an Numerical Expression: 3 +4 Give a Numerical Equation 3+4 = 7 Give an Algebraic Expressions 3x+4 Give an Algebraic Equation 3x +4 =7 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? Terms • After you turn all subtraction into addition using (KFC) terms are what is separated by addition signs Like Terms • Terms that have the same variables raised to the same exponent Simplest Form • Algebraic expressions are in the simplest form when it has not like terms and no parentheses. 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. simplify 14- 3z +8 +z 14+ (-3z) +8 + 1z -3z +1z +14+8 -2 z +22 Distributive Property • If there are parentheses and a number on the outside of the () distribute the number through the () then collect like terms simplify -2 (g +4) +7g -2(g) +-2(4) +7g -2g +(-8) +7g -2g +7g +(-8) 5g +(-8) Simplify 3 1 7 4( x ) 4 4 3 1 7 4[ x ( )] 4 4 3 1 7 (4)( x) (4)( ) 4 4 7 ( 3 x ) 1 3x 8 Homework • Big Ideas Text Book Page 84 (1-20, 24) all