In this lesson you will learn about different types of algebraic expressions: monomials, binomials, trinomials and polynomials. You will see how two monomials could be multiplied or added/subtracted.

For example 2m × 3m = 6m²  or  4m + 12m = 16m.

In math, a polynomial is an expression consisting of coefficients and variables. These coefficients and variables are called “terms”. Terms in a polynomial are separated by operations of addition, subtraction, multiplication. Variables have only positive integer exponents.

This lesson also explains how algebraic expressions with brackets can be simplified by distributing a monomial in front of the bracket by every term inside the bracket.

For example, an expression 3(2s -3) could be expanded to 6s – 9.

collecting like terms

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This may be followed by collecting like terms (monomials within polynomials that only differ from each other by their coefficient) if there are more than one bracket.

Grade 9 Algebraic Expressions Quiz

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