Equivalent Expressions Like Terms

​Lesson 4.3

Simplify and Generate Equivalent Expressions​

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​Definitions:

Variable: A variable is a placeholder for a number we do not know yet.

Coefficient: The coefficient is the number in front of the variable.

Ex: 3x​ the coefficient is 3

Like Terms: Terms that share the same variable.

We combine like terms by adding the coefficient.

Ex: 3x and 5x are like terms and if we combine them we get

(3 + 5)x = 8x​

Subject | Subject

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​How to simplify expressions: 5x + 2y - 2x + y

Multiple Choice

Simplify the expression 3x + 4y + x + 4y

• 11xy

• 3x + 8y

• 4x + 8y

• 7xy + 5xy

Multiple Choice

Simplify the expression: 4y - 3x - 2y - 8x

• 6y - 11x

• 2y - 11x

• 6y - 5x

• 2y - 5x

​Simplify the expression: -4b + (-9k) - 6 -3b + 12

​Simplify the expression: -2.8f + 0.9f - 12 - 4

Multiple Choice

Simplify 8h + (-7.3d) - 14 + 5d - 3.2h

• 4.8h + 2.3d - 14

• 8.2h - 2.3d - 14

• 4.8h - 2.3d - 14

• 8.2h + 2.3d - 14

​Example: Explain whether 11t - 4t is equivalent to 4t - 11t. Support your answer by evaluating the expression for t = 2.

​Conclusion: Write two complete sentences about what you learned.