notes for solving equations, exam review - Name Date Color...

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Name ___________________________________________________ Date ______________ Color ___________Algebra IMiss HahlSimplifying and Combining Like TermsExponentCoefficient 4x2Variable (or Base)* Write the coefficients, variables, and exponents of the following:Like Terms: Terms that have identical variable parts (same variable(s) and same exponent(s)). When simplifying using addition and subtraction, you combine “like terms” by keeping the "like term" and adding or subtracting thenumerical coefficients.Examples:3x + 4x = 7x13xy – 9xy = 4xy12x3y2 - 5x3y2= 7x3yCan you simplify?24x3+ 4y311x2– 7x 6x3y + 5xySimplify the following:1)7x + 5 – 3x2)6w2 + 11w + 8w2 – 15w3)6x + 4 + 15 – 7x4)(12x – 5) – (7x – 11)5)(2x2 - 3x + 7) – (-3x2+ 4x – 7)6)11a2b – 12abWORKING WITH THE DISTRIBUTIVE PROPERTYExample:3(2x – 5) + 5(3x +6) = Since in the order of operations, multiplication comes before addition and subtraction, we must get rid of the multiplication beforeyou can combine like terms. We do this by using the distributive property3(2x – 5) + 5(3x +6) =3(2x) – 3(5) + 5(3x) + 5(6) = 6x - 15 + 15x + 30 =Now you can combine the like terms:Final answer: 6x + 15x = 21x3(2x – 5) + 5(3x + 6) = 21x + 15-15 + 30 = 15
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