Adding and Subtracting Polynomials
This worksheet provides practice on adding and subtracting polynomials for 8th-grade students, focusing on combining like terms.
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Adding and Subtracting Polynomials
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Read each question carefully and perform the indicated operation. Show all your work.
1. A is an algebraic expression consisting of one or more terms added or subtracted.
2. When adding or subtracting polynomials, you must combine terms.
3. The of a term is the sum of the exponents of the variables in that term.
1. Add the following polynomials: (3x² + 2x - 5) + (x² - 7x + 3)
2. Find the sum of (4ab + 6b - 2a) and (2ab - 3b + 5a).
1. Subtract the second polynomial from the first: (5y² - 3y + 8) - (2y² + y - 4)
2. From (7m + 9n - 1), subtract (3m - 2n + 6).
1. Simplify: (6x³ - 2x + 1) + (-3x³ + 5x - 7)
3x³ + 3x - 6
9x³ + 3x - 6
3x³ - 7x + 8
9x³ - 7x + 8
2. What is the result of (10p² - p) - (4p² + 3p - 2)?
6p² + 2p - 2
6p² - 4p + 2
14p² + 2p - 2
14p² - 4p + 2
The perimeter of a triangle is given by the expression (12x + 5). If two sides of the triangle are (4x - 2) and (3x + 7), what is the length of the third side?