Grade 9 Polynomial Simplification Worksheet
This worksheet covers simplifying polynomials for Grade 9 students, including combining like terms, distributive property, and basic polynomial operations.
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Grade 9 Polynomial Simplification
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Read each question carefully and simplify the polynomials as indicated. Show all your work.
Simplify the following expressions by combining like terms.
1. 5x + 3y - 2x + 7y
2. (4a^2 - 2a + 8) + (2a^2 + 5a - 3)
3. (6m^3 + m - 10) - (2m^3 - 4m + 5)
Expand and simplify the following expressions using the distributive property.
1. 3(2x + 5)
2. -4(y - 7)
3. 2x(x^2 - 3x + 6)
Choose the simplified form of the given polynomial.
1. Simplify: 7p - (3p + 2) + 5
4p + 7
4p + 3
10p + 3
10p + 7
2. Simplify: 5(a + 2b) - 3(a - b)
2a + 7b
2a + 13b
2a + 11b
2a + 3b
Complete the statements below.
1. When simplifying polynomials, you can only combine .
2. The property is used to multiply a term by an expression inside parentheses.
3. The expression 3x^2 + 5x - 2 is a .
Determine if the following statements are true or false.
1. The expression 2x^2 + 3x - 5 is a binomial.
True
False
2. The simplified form of 2(x + 3) - x is x + 6.
True
False