4 To simplify by combining like terms: 1. Search for like terms (same variable raised to the same power; and constants with other constants). 2. Catch the first term and any like terms. 3. Combine them using the addition rules.
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Preview and Download !Combining Like Terms Introduction to Algebraic Expressions Adding and Subtracting Mixed Numbers Building Exponents: Squares, Cubes, and Roots Practice with Polynomials Complementary and Supplementary Angles Area and Circumference of a Circle Properties of Parallelograms Linear Equations: Add and Subtract Linear Equations Practice Triangle Angles
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Preview and Download !One term Two terms Three terms Four terms Ex: Ex: Ex: Ex: We cannot count the number of terms unless all of the like terms have been put together so we must combine the like terms. When combining like terms you have to pay attention to the _____ attached and the _____ in front of the coefficient. Combining Like Terms
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Preview and Download !Directions: For each expression below, simplify the expression by combining like terms. Any two terms can be added/subtracted as long as they contain the same variable(s) and the same exponents. Terms that have different variables or exponents must be kept separated. Write the simplified expression on the line provided. Examples: 5 2 8. x y x + + =
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Preview and Download !Constants are also like terms. Terms can be combined only if they are like terms. Like terms can have different coefficients, but they must have the same variables raised to the same powers. Simplify the expressions below by combining like terms. (a) 3 7 4 7x y x y (b) 8 11 x2 (c) 5 7 9 2a b a combine like terms.
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Preview and Download !Pre-Algebra: Combine Like Terms. WS#1 Combine the like terms in the expressions below: (17)-3y + 12x - y - 3x (18) 2x + 2y - 2x + y (19) 5x + 6y + 7 + 3x + 2y - 2 (20) 13x - 5x - 4y + 15 + 3 - 2x (21) -15x + 2y 5 + 16x - y + 6 (22) 3x + 4x + 5y + 6y + 7 + 8 (23) 7x + 7y - 7x + 8y +12 .
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Preview and Download !Directions: For each expression below, simplify the expression by combining like terms. Any two terms can be added/subtracted as long as they contain the same variable(s) and the same exponents. Terms that have different variables or exponents must be kept separated. Write the simplified expression on the line provided. Examples: 5 2 8. x y x + + =
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Preview and Download !Combining Like Terms Date_____ Period____ Simplify each expression. 1) −6 k + 7k 2) 12 r − 8 − 12 3) n − ... Create your own worksheets like this one with Infinite Algebra 1. Free trial available at KutaSoftware.com. Title: Combining Like Terms Author: Mike Created Date:
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Preview and Download !Like Terms Like terms are terms that have the same variables raised to the same power or exponent, and can have different coefficients. To simplify expressions, only like terms can be combined using the operations addition and subtraction. Study the examples below: Terms 3b, 2b, -7b, 10b, -45b pr, -5pr, 11 pr, 27pr 4x2y, 12 x2y, -8x2y
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Preview and Download !Combining Like Terms with Algebra Tiles Key Rule to Remember = 1 = x = x2 = -1 = -x = -x2 Like terms in an equation have the same variable and exponent. They do not need to have the same coefficient. Algebra tiles can be used to model algebraic expressions and simplify expressions by combining like terms.
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