Math word problems worksheet for algebraic reasoning practice.

A math worksheet titled "Word Problems" with ten algebraic word problems, each requiring students to find an initial number based on a series of operations. The worksheet includes spaces for name, teacher, score, and date, and is sourced from Math-Aids.Com.

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1) 7.4x - x = 9 * 5 → 6.4x = 45 → x = 45 / 6.4 = 7.03125
2) (33.25 / d) * 7 - 5.9 = 18.6 → (33.25 / d) * 7 = 24.5 → 33.25 / d = 3.5 → d = 33.25 / 3.5 = 9.5
3) ((9 + x) / 3) * 5 = 5 → (9 + x) / 3 = 1 → 9 + x = 3 → x = -6
4) ((72 / x) + 12) * 4 = 12 → (72 / x) + 12 = 3 → 72 / x = -9 → x = 72 / (-9) = -8
5) ((x / 6) + 11) * 6 = 60 → (x / 6) + 11 = 10 → x / 6 = -1 → x = -6
6) ((x - 10.3) * 7) / 2.5 = -7 → (x - 10.3) * 7 = -17.5 → x - 10.3 = -2.5 → x = 7.8
7) (176.9 / x) * 4 + 10.2 = -38.6 → (176.9 / x) * 4 = -48.8 → 176.9 / x = -12.2 → x = 176.9 / (-12.2) = -14.5
8) ((x / 0.2) * 7) - 2.8 = -499.8 → (x / 0.2) * 7 = -497 → x / 0.2 = -71 → x = -71 * 0.2 = -14.2
9) ((x / 5) - 6) * 4 = -20 → (x / 5) - 6 = -5 → x / 5 = 1 → x = 5
10) ((62.4 / x) - 2) * 7 = -70 → (62.4 / x) - 2 = -10 → 62.4 / x = -8 → x = 62.4 / (-8) = -7.8

Parent Tip: Review the logic above to help your child master the concept of multi step word problems 6th grade worksheet.

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