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WARM UP Evaluate: 1. 3. 2. 4. X = 5.39 2. Y = 15.54 3. W = 125 4. A = 74.21 5. X = 12.35 6. D = 85.68 7. M = -1.7 8. N = -3.56 9. X = -38.772. 10. X = 1/3 Y = -1.5 12. D = 1.5 13. X = 1/14 14. X = a =
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WARM UP Evaluate: 1. 3. 2. 4.
X = 5.39 2. Y = 15.54 3. W = 125 4. A = 74.21 5. X = 12.35 6. D = 85.68 7. M = -1.7 8. N = -3.56 9. X = -38.772 10. X = 1/3 Y = -1.5 12. D = 1.5 13. X = 1/14 14. X = a = 7 c flour, 3 ¾ c sugar 19.5 mi WS 14.1 Answers
Combining Like TermsDistributive Property Thursday, November 6, 2014
Helpful Hint Constants such as 4, 0.75, and 11 are like terms because none of them have a variable. Terms in an expression are separated by plus or minus signs. Like terms can be grouped together because they have the same variable raised to the same power. Equivalent expressions have the same value for all values of the variables.
Combine like terms. A.14a – 5a Identify like terms. 9a Combine coefficients: 14 – 5 = 9 Identify like terms ; the coefficient of y is 1, because 1y = y. B.7y + 8 – 3y – 1 + y 5y + 7 Combine coefficients: 7 – 3 + 1 = 5 and 8 – 1 = 7
Combine like terms. C.3q – q D.4y + 8– 4y – 2 – y
Combine like terms. E. 5a + 9n – 7 To simplify an expression, perform all possible operations, including combining like terms.
Distributive Property The Distributive Property states that a(b + c) = ab + ac for all real numbers a, b, and c. For example, 2(3 + 5) = 2(3) + 2(5). The Distributive Property is an algebra property which is used to multiply a single term and two or more terms inside a set of parentheses.
Distribute A. 5(a - 3) B. -3(p + 6) C. -(a - 1)
Simplify 3. -4(3p + 12) 9x 4. 4(a + 5) + 3a
Homework • WKS 14.2 • Quiz Wednesday!