 # Add and Subtract Polynomials Grade 7 Questions With Answers

Adding, subtracting and simplifying polynomials are an important skills in algebra and maths in general. Grade 7 maths multiple choice questions on adding and subtracting polynomials with answers are presented in this page.

 To add polynomials in algebra, we group like terms and simplify. Example 1 (2 x + 5) + (4x + 6) = (2x + 4x) + (5 + 6) put like terms together inside parentheses = 6x + 11 simplify Example 2 (x2 - 6 x - 9) + (- 5 x2 + 9 x + 2) = (x2 - 5 x2) + (-6 x + 9 x) +(-9 + 2) put like terms together inside parentheses = - 4 x2 + 3 x - 7 simplify To subtract polynomials, change signs of all terms of the polynomial preceded by the minus sign and change the subtraction into addition; group like terms and then simplify. Example 3 (2 x y + x + 5) - (3 x y - 2x + 7) = (2 x y + x + 5) + (- 3 x y + 2x - 7) = (2 x y - 3 x y) + (x + 2x) + (7 - 7) = - x y + 3x Multiple Choice Questions Add the polynomials: (9 x - 6) + (- 5x + 7) 14x + 1 -4x - 1 4x + 1 4x + 13 Subtract the polynomials: (9 x - 6) - (- 5x + 7) 14x - 13 4x + 1 -4x + 13 -4x - 13 Add the polynomials: (-x2 + 5 x + 2) + (6 x2 + x) 7x2 + 6x + 2 5x2 + 6x + 2 5x2 + 6x 7x2 + 6x Subtract the polynomials: (-x2 + 5 x) - (6 x2 + x - 2) -5x2 + 6x + 2 5x2 + 6x - 2 5x2 + 6x -7x2 + 4x + 2 Add the polynomials: (- 7 x2y + xy + 3x + 2) + (5 x2y - 5 xy - 6x - 7) -2x2y - 4 xy - 3x - 5 2x2y + 4 xy - 3x - 5 -2x2y - 4 xy + 3x + 5 2x2y + 4 xy + 3x + 5 Subtract the polynomials: (- 7 x2y + xy + 3x + 2) - (5 x2y - 5 xy - 6x - 7) - 2x2y - 4 xy - 2x - 5 - 12x2y + 6 xy + 9x + 9 - 12x2y - 6 xy - 9x - 9 12x2y + 6 xy + 9x + 9 Add the polynomials: (xy + 3x + 2) + (3x2 + y) 3x2 + 4 xy + 2 3x2 + 2xy + 3x + 2 3x2 + xy + 3x + y + 2 3x2 + 5 xy + 2 Subtract the polynomials: (xy + 3x + 2) - (3x2 + y) 3x2 + 4 xy + 2 3x2 + 4xy + 2 -3x2 + 3x - y + 2 -3x2 + xy + 3x - y + 2 Add the polynomials: (x2y + 3x + 2) + (2 + 2 xy2 + 3x) x2y + 2 xy2 + 6x + 4 3 x2y + 6x + 4 3 xy2 + 6x + 4 3 x2y2 + 6x + 4 Subtract the polynomials: (x2y + 3x + 2) - (2 + xy2 + 3x) 0 -2 x2y x2y - xy2 x2y + xy2 Answers to the Above Questions C A B D A B C D A C
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