Distributive Property Partner’s Activity Partner A should complete the expressions in the Partner A column, while Partner B completes the expressions in the Partner B column. The final answers should be the same. If the answers are not the same, each partner should take a turn to prove his or her answer to the other partner. They should not move to the next question until they have reached an agreement. Partner A Partner B 1 3(𝑥 − 6) = ________________ 1 −(−3𝑥 + 18) = _________________ 2 2(2𝑥 + 4) = ________________ 2 4(𝑥 + 2) = __________________ 3 15(𝑥 − 2) = ______________ 3 −5(−3𝑥 + 6) = ___________________ 4 −(8𝑥 − 12) = _________________ 4 2(−4𝑥 + 6) = _____________________ 5 −7(𝑥 − 2) = ________________ 5 −(7𝑥 − 14) = ____________________ 6 2(−5𝑥 + 9) = _________________ 6 10(−𝑥 + 1.8) = __________________ 7 0.5(6𝑥 − 12) = _________________ 7 −3(−𝑥 + 2) = __________________ 8 −2(−2𝑥 − 5) = __________________ 8 1 9 − 2 (16𝑥 + 24) = __________________ 10 1 (−2𝑥 2 + 10) = ___________________ 1 (8𝑥 2 + 20) = _________________ 9 4(−2𝑥 − 3) = __________________ 1 10 − 3 (3𝑥 − 15) = _________________ 11 1 (20𝑥 4 12 10 (5 𝑥 − 2) = __________________ 12 1 (8𝑥 4 13 4(−𝑥 + 2.5) = _________________ 13 − 3 (6𝑥 − 15) = _________________ 1 11 −5 (−𝑥 − 5) = __________________ 1 3 4 1 14 − (4𝑥 − 40) = _______________ + 4) = _________________ − 20) = _________________ 2 14 −3(𝑥 − 10) = ________________ © 2016 Anna Fowler Combining Like Terms Partner’s Activity Partner A should simplify the expressions in the Partner A column, while Partner B simplifies the expressions in the Partner B column. The final answers should be the same. If the answers are not the same, each partner should take a turn to prove his or her answer to the other partner. They should not move to the next expression until they have reached an agreement. Partner A Partner B 1 7𝑥 + 10 − 5𝑥 + 2 = ____________________ 1 𝑥 + 5 + 𝑥 + 7 = _________________ 2 −2𝑥 − 3 + 5𝑥 = ________________ 2 2𝑥 + 7 + 𝑥 − 10 = __________________ 3 −𝑥 − 5 − 9𝑥 − 4 = ______________ 3 −20𝑥 − 9 + 10𝑥 = ___________________ 4 7 − 5𝑥 − 10 + 3𝑥 = _________________ 4 5𝑥 − 7 − 7𝑥 + 4 = _____________________ 5 12𝑥 − 3𝑥 − 10 + 2𝑥 − 2 = ________________ 5 −5𝑥 − 20 + 8 + 16𝑥 = ____________________ 6 −4𝑥 − 4 + 4𝑥 − 4 = _________________ 6 10𝑥 − 6 − 10𝑥 − 2 = __________________ 7 7𝑥 − 2𝑦 − 10𝑥 + 5 + 8𝑦 = _________________ 7 −2𝑥 − 𝑦 + 10 − 𝑥 + 7𝑦 − 5 = __________________ 8 2𝑦 − 6𝑥 + 9 − 3𝑦 − 10 = __________________ 8 −4𝑥 − 𝑦 + 5 − 2𝑥 − 6 = _________________ 9 −𝑥 − 𝑦 − 1 + 3𝑥 + 6𝑦 + 10 = __________________ 9 2𝑦 + 5 + 4𝑥 − 2𝑥 + 3𝑦 + 4 = __________________ 10 13 + 7𝑥 − 10𝑦 − 5 = ___________________ 10 −10𝑥 − 10𝑦 + 8 + 17𝑥 = _________________ 11 −6𝑦 − 9𝑥 − 1 − 3𝑥 − 𝑦 = __________________ 11 −12𝑥 + 3𝑦 + 5 − 10𝑦 − 6 = _________________ 12 1 𝑥 4 3 − 5𝑦 + 3 + 4 𝑥 + 10𝑦 = __________________ 12 −5𝑥 − 10 + 5𝑦 + 6𝑥 + 13 = _________________ 5 3 13 20𝑥 − 9𝑦 + 1 − 3𝑦 − 10𝑥 = _________________ 13 2𝑥 + 8 + 2𝑦 − 14𝑦 + 8 + 8𝑥 = _________________ 14 −10𝑦 + 7𝑥 − 6 + 10𝑦 − 5𝑥 = _______________ 14 −8𝑥 + 10 + 10𝑥 − 16 = ________________ © 2016 Anna Fowler Answer Keys Distributive Property 1 2 3 4 5 6 7 8 9 10 11 12 13 14 3𝑥 − 18 4𝑥 + 8 15𝑥 − 30 −8𝑥 + 12 −7𝑥 + 14 −10𝑥 + 18 3𝑥 − 6 4𝑥 + 10 −8𝑥 − 12 −𝑥 + 5 5𝑥 + 1 2𝑥 − 5 −4𝑥 + 10 −3𝑥 + 30 Combining Like Terms 1 2 3 4 5 6 7 8 9 10 11 12 13 14 2𝑥 + 12 3𝑥 − 3 −10𝑥 − 9 −2𝑥 − 3 11𝑥 − 12 −8 −3𝑥 + 6𝑦 + 5 −6𝑥 − 𝑦 − 1 2𝑥 + 5𝑦 + 9 7𝑥 − 10𝑦 + 8 −12𝑥 − 7𝑦 − 1 𝑥 + 5𝑦 + 3 10𝑥 − 12𝑦 + 1 2𝑥 − 6 © 2016 Anna Fowler