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Simplifying Variable Expressions. Vocabulary:. Term- a number or the product of a number and variables Constant- a term that has no variables Like terms- have identical variable (has the same variable with the same exponent) Coefficient- a number that multiplies a variable.
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Vocabulary: • Term- a number or the product of a number and variables • Constant- a term that has no variables • Like terms- have identical variable (has the same variable with the same exponent) • Coefficient- a number that multiplies a variable
Identifying the parts of an Expression4m-3n+7m-9 • Coefficients: • Like terms: • Constants: 4, -3, 7 4m and 7m -9
Identifying the parts of an Expression7x+3y-x+4y • Coefficients: • Like terms: • Constants: 7, 3, -1, 4 7x, -x and 3y, 4y none
Identifying the parts of an Expression4v • Coefficients: • Like terms: • Constants: 4 none none
Identifying the parts of an Expression9a + 4b + c - 3a + b • Coefficients: • Like terms: • Constants: 9, 4, 1, -3, 1 9a, -3a and 4b,b none
Combining Like Terms • When combining like terms add the coefficients and keep the variable the same.
Simplify 3y + y 1. What are the like terms? 3y and y 2. What are the coefficients of the like terms? 3 and 1 3. Add the coefficients and keep the variable the same. 3y + 1y = 4y 4. Your answer: 3y + y = 4y
Simplify 3b – 4b + b 1. What are the like terms? 3b, -4b, b 2. What are the coefficients of the like terms? 3, -4, 1 3. Add the coefficients and keep the variable the same. 3b + -4b + 1b =0 4. Your answer: 3b – 4b + b = 0
Simplify 7p - 3q + 2p - 8 1. What are the like terms? 7p and 2p 2. What are the coefficients of the like terms? 7, 2 3. Add the coefficients and keep the variable the same. 7p + 2p = 9p 4. Your answer: 7p – 3q + 2p -8 = 9p – 3q - 8
Try on your own 1. 9 + 4f + 3 + 2f = 6f + 12 2. 2b + b – 4 = 3b - 4 3. 5(7 – 3x) + 20x = 35 + 5x Assignment: Page 78 Problems 12-32 even