collecting like termsVideo Lesson

Grade 9 Lesson 2 Note

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.

Grade 9 Workbook

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.

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

Welcome to your Grade 9 Algebraic Expressions Quiz

What type of algebraic expression is this?2x² + 3x
Simplify by collecting like terms-x + 2x +3 - 45
In the monomial -5x, the number (-5) is
Simplify the following expression-3x³ + 2x - 4x² + 3x³ + 15x + 2x² - 30 + 2x²
Evaluate the following expression for x = (-3)4x² - 12 + 3x³