Grade 9 Polynomial Simplification Worksheet

Grade 9 Polynomial Simplification

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

2. Simplify: 5(a + 2b) - 3(a - b)

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.

2. The simplified form of 2(x + 3) - x is x + 6.