Objectives Simplify expressions with several variables by combining like terms.

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Presentation transcript:

Objectives Simplify expressions with several variables by combining like terms.

Glossary Terms Coefficient Variable Exponent Term Like Terms Simplified

Like Terms – same variable with same exponent Key Skills Like Terms – same variable with same exponent Simplify When combining like terms, only use the coefficients. 6x + 2x = 6x + 2x = 8x Simplify 4x + 3y – 2x + 4y = 2x + 7y Never, NEVER, combine x’s and y’s or constant terms with variable terms. 2x + 7y ≠ 9xy and 3a + 6 ≠ 9a.

+ 7x 7x + 3y + 3y + 5y + 5y + 9x + 9x – 6y – 6y = 16x 16x = +2y + 2y Just Watch What Happens + 7x 7x + 3y + 3y + 5y + 5y + 9x + 9x – 6y – 6y = 16x 16x = +2y + 2y

3 + 5x = 3 + 5x ≠ 8x 3(5x) = 15x TRY THESE 1) 3q + 7q = 10q Your welcome 2) 4x + 8y – 10x + 3y = 4x + 8y + 10x + 3y = 14x + 11y Review Again 3 + 5x = 3 + 5x ≠ 8x 3(5x) = 15x

In algebraic terms, find the perimeter of the following shape. 4x + 3y Key Skills 3x – 2y 3x – 2y 4x + 3y To find the perimeter, add the sides together. P = 3x – 2y + 4x +3y + 3x – 2y + 4x + 3y = 14x + 2y What is the perimeter if x = 3 and y = 2? P = 14(3) + 2(2) = 46

Find the perimeter of the following shape when x = 2. TRY THIS 5x + y 5x + y 6x – 2y To find the perimeter, add the sides together. P = 5x + y + 5x + y + 6x – 2y = 16x = 32 Does the value of y matter in this problem? Obviously Not!