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Brain Warm-Up

Explore the concepts of the distributive property and like terms in algebra through engaging exercises. Recall how coefficients, constants, and the distribution of multiplication over addition work to simplify expressions. Practice evaluating expressions such as 2(b + k + r) and combining like terms to enhance your algebra skills. Discover the importance of understanding coefficients and constants and how they relate to simplifying algebraic expressions. This comprehensive approach helps solidify your foundation in algebraic concepts.

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Brain Warm-Up

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  1. Brain Warm-Up • Write three things you remember about the distributive property • Evaluate: • 2(b + k + r) • (-3)(-8) • 8 – (-5) • -10 + 6 • -12 ÷ 3

  2. Like Terms! January 6, 2012 Ms. Latimer

  3. Vocabulary • Coefficient- The number in a term that is the product of a number and a variable (3n + 6, 3 is the coefficient) • Constant- A term that has a number but no variable (3n + 6, 6 is the constant)

  4. I LIKE it, I love it • Like terms--- terms that are the same Like each other • (( )) --- they’re the same and hug because they like each other • ♠♣ --- they’re not the same and do not hug because they are not alike.

  5. 3n 8w -7 5m -9q -4k p -2t 4p -3q -8t -7n 9 2k -10w m Match the Ones Alike Find the total of the two like terms

  6. Let’s Put It Together x + 4 – 2x – 10 x and -2x are like terms 4 and 10 are like terms 1 is the coefficient of x, -2 is the coefficient of x 4 and (-10) are constant terms

  7. Simplify the expression5 (w – 4) + w + 8 5w – 20 + w + 8 Distributive property 5w + (-20) + w + 8 Write as a sum 5w + w + (-20) + 8 Commutative prop. 6w + (-12) Combine like terms 6w – 12 Rewrite without ( )

  8. 5w – 20 + w + 8 Distributive property 5w + (-20) + w + 8 Write as a sum 5w + w + (-20) + 8 Commutative prop. 6w + (-12) Combine like terms 6w – 12 Rewrite without ( )

  9. Practice 4d – 6 + 5d 6 ( v + 5) - 5v + 12

  10. On your own… 1) -13x + 9 – 5x + 21 2) 8(w + 3) - 7 + 13w

  11. Hmmm… • Agendas: PB pg 85 #1-11 • 9 – 3n + 4(n – 6) • Underline the coefficients, circle the constants • Use the Distributive Property • Simplify

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