1) Simplify the expression by using the distributive property and combining like terms: 2(3x - 7) + 4 a) 6x + 10 b) 6x - 14 c) 3x - 10 d) 6x - 10 2) Simplify the expression by using the distributive property and combining like terms: -8(x + 3) - 2x a) -10x - 24 b) -8x - 18 c) -8x - 30 d) -10x + 3 3) Simplify the expression by using the distributive property and combining like terms: -4(x + 5) - 6(3x - 8) a) -22x + 24 b) -22x + 28 c) -22x - 24 d) -10x + 28 4) Simplify the expression by using the distributive property and combining like terms: 7 - (4x + 11) + 6x a) 2x - 18 b) 3x - 4 c) 2x - 4 d) 2x - 7 5) Simplify the expression by using the distributive property and combining like terms: -2x - 7(3x + 1) + 4 a) -23x + 4 b) -23x - 4 c) -19x - 3 d) -23x - 3 6) Simplify the expression by using the distributive property and combining like terms: - (3x - 9) - 6(5x + 7) a) -33x - 33 b) -33x - 9 c) -39x - 9 d) -39x + 42 7) Simplify the expression by using the distributive property and combining like terms: 11(8y + 2) + 4(2y - 1) a) 92y + 26 b) 96y + 18 c) 88y + 22 d) 84y + 18 8) Simplify the expression by combining like terms: -4x + 8 + 7x + 1 a) 3x + 7 b) 3x - 7 c) -3x + 9 d) 3x + 9 9) Simplify the expression by combining like terms: 8 + 7x + x - 6 a) 6x + 2 b) 6x - 2 c) 8x + 2 d) 8x - 2 10) Simplify the expression by combining like terms: 2x - 1 + x - 9 a) x - 10 b) 3x - 10 c) 3x - 8 d) 3x - 9 11) Simplify the expression by combining like terms: x + 1 + x a) 2x + 1 b) x + 1 c) -x + 1 d) 2x - 1 12) Simplify the expression by combining like terms: -2 + 5x + 3x + 2 a) 8x b) 8x - 2 c) 8x - 4 d) 2x + 4 13) Simplify the expression by combining like terms: 3x + 7x a) -4x b) 10x c) 3x d) 37x 14) Simplify the expression by combining like terms: x - 10 + 6x - 2 a) 5x - 12 b) 7x + 12 c) 7x - 12 d) 6x - 12 15) Simplify the expression by combining like terms: -2g - 7k - 4k + 12g + 20k a) 14g - 9k b) 10g + 31k c) 10g - 9k d) 10g + 9k 16) Simplify the expression by combining like terms: 19 - 19y + 7 - 3y - y a) 23y + 26 b) -23y + 26 c) -23y - 26 d) -23y + 19 17) Simplify the expression by combining like terms: -7x - 8y + 2x + 10y a) -9x - 18y b) -5x - 2y c) -5x + 2y d) -5x + 18y 18) Simplify the expression by combining like terms: x - 5 - x - x + 6 a) -x + 1 b) -x - 11 c) x + 1 d) -x + 11 19) Simplify the expression by combining like terms: 7x + 2 - 10 - 10x a) 3x + 8 b) 17x - 8 c) 17x + 8 d) -3x - 8 20) Simplify the expression by combining like terms: 20 - 13 - 2x - 5x a) -7x + 7 b) -7x + 33 c) -3x + 7 d) -7x - 7 21) Simplify the expression by combining like terms: 7x + 5 - 4x - 16 a) 11x - 11 b) 3x - 11 c) 3x + 21 d) 3x + 11 22) Simplify the expression by using the distributive property and combining like terms: 5(1 - 4x) + 2x - 40 a) -18x + 35 b) 18x - 35 c) 18x + 40 d) -18x - 35 23) Simplify the expression by using the distributive property and combining like terms: 9 - 3(2x + 7) + 4x - 45 a) -2x - 57 b) -2x + 57 c) 2x + 57 d) -6x - 45 24) Simplify the expression by using the distributive property and combining like terms: 7(13 - 2x) - 9(x + 10) a) -23x + 1 b) 5x - 1 c) 5x + 1 d) -23x - 1 25) Simplify the expression by using the distributive property and combining like terms: 16x - (3x + 9) + 17 a) -13x - 8 b) 19x + 17 c) 19x + 8 d) 13x + 8 26) Simplify the expression by using the distributive property and combining like terms: 8(2x + 7) - 5(3x + 14) a) -x - 14 b) x - 14 c) x + 14 d) -x + 14 27) Simplify the expression by using the distributive property and combining like terms: 9(3x + 8) - 3(4x + 21) a) 27x + 9 b) 27x - 9 c) 15x - 72 d) 15x + 9 28) Simplify the expression by using the distributive property and combining like terms: -5(8x + 1) + 2(6x - 5) -1 a) 28x + 16 b) -28x - 15 c) -28x - 16 d) 28x - 16 29) Simplify the expression by using the distributive property and combining like terms: -2(2x - 19) - 5(x - 6) - 4 a) 9x - 64 b) -9x + 64 c) -4x - 64 d) x + 64 30) Simplify the expression by using the distributive property and combining like terms: 4(x + 12) - 11x - 25 a) -7x + 23 b) -7x + 48 c) 4x + 23 d) 7x - 25 31) Simplify the expression by combining like terms: 25 - x - 8x + 39 a) 9x + 39 b) -8x + 64 c) -9x + 64 d) -9x + 39 32) Simplify the expression by combining like terms: 13 - 5x + 3x - 70 a) 8x - 57 b) -2x - 57 c) -2x + 57 d) -8x - 57 33) Simplify the expression by combining like terms: -8x - 9 - 5 + 9x a) x + 14 b) -x + 14 c) -x - 14 d) x - 14 34) Simplify the expression by combining like terms: 9 - 8 - 19x - 4x a) 23x - 1 b) -23x + 1 c) -23x - 1 d) -23x + 17 35) Simplify the expression by using the distributive property and combining like terms: 3(x - 6) + 19 a) 3x + 1 b) 3x - 1 c) 3x - 18 d) x + 1 36) Simplify the expression by using the distributive property and combining like terms: 16 - (1 - 5x) - 4x - 29 a) -x + 14 b) -x + 13 c) x - 13 d) x - 14 37) Which of the sets of terms below does NOT include like terms? a) g, -g, 4g b) 5x, x, y c) 3z2, -z2, 2z2 d) 2p, -p, 44p 38) Which of the sets of terms below does NOT include like terms? a) 9x, -13x, 74x b) -p, 43p, p c) -19, 22, 40 d) 13y, -w, 7x 39) Which of the following is an example of a set of like terms? a) 4g, -10w, x b) 13z, -z, 10z c) 18, -21g, 4x d) 7x, -5y, 14z 40) Which of the following is an example of a set of like terms? a) 6y, -y, -y2 b) x3, 2x3, 14p c) 11z, -s, -x d) 2s, -s, 4s
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Simplifying Expressions • Combining Like Terms and Distributive Property
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Justjackson
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