Combining Polynomials Worksheet
Grade 9 math worksheet focused on combining polynomials through addition and subtraction, including simplifying expressions.
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Standards
Topics
Combining Polynomials
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Simplify each polynomial expression by combining like terms. Pay close attention to the signs when adding and subtracting.
1. The terms 3x² and -5x² are considered terms because they have the same variable raised to the same power.
2. When subtracting polynomials, it is important to distribute the sign to every term in the second polynomial.
3. A polynomial with three terms is called a .
4. Simplify the expression: (4x + 7) + (2x - 3)
6x + 10
6x + 4
2x + 4
2x + 10
5. Simplify the expression: (5y² - 2y + 8) - (3y² + y - 1)
2y² - y + 7
2y² - 3y + 9
2y² - 3y + 7
2y² - y + 9
6. Simplify: (7a² + 3a - 5) + (2a² - 4a + 1)
7. Simplify: (x³ - 6x + 10) + (-4x³ + 2x² - 3x)
8. Simplify: (9m² - 5m + 2) - (3m² + m - 7)
9. Simplify: (6b³ + 2b² - b) - (b³ - 4b² + 5b - 8)
10. The expression 2x² + 3x - 5 is a binomial.
True
False
11. To subtract polynomials, you add the opposite of each term in the second polynomial.
True
False
12. The perimeter of a triangle is given by the expression (10x² - 3x + 5). If two sides of the triangle are (4x² + 2x) and (3x² - x + 1), find the expression for the length of the third side.