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
(x 2 - 6 x - 9) + (- 5 x 2 + 9 x + 2)
= (x 2 - 5 x 2 ) + (-6 x + 9 x) +(-9 + 2) put like terms together inside parentheses
= - 4 x 2 + 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
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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
Links and References
Middle School Math (Grades 6, 7, 8, 9) - Free Questions and Problems With AnswersHigh School Math (Grades 10, 11 and 12) - Free Questions and Problems With Answers
Primary Math (Grades 4 and 5) with Free Questions and Problems With Answers
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