2. 2.2 Simplifying Expressions
Chapter 2 Understanding Variables and
Solving Equations

3. 2.2 Simplifying Expressions
Objectives
Combine like terms using the distributive property.
Simplify expressions.
Use the distributive property to multiply.
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4. Objective 1: Combine like terms using the distributive property.
The basic idea in simplifying expressions is to combine, or add, like terms.
Each addend in an expression is a term.
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5. Objective 1: Combine like terms using the distributive property.
A variable term has a number part (coefficient) and a letter part (variable).
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6. Objective 1: Combine like terms using the distributive property.
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7. Objective 1: Combine like terms using the distributive property.
List the like terms in the expression. Identify the coefficients of the like terms.
Example
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8. Objective 1: Combine like terms using the distributive property.
List the like terms in the expression. Identify the coefficients of the like terms.
Example
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9. Objective 1: Combine like terms using the distributive property.
The distributive property can be used “in reverse” to combine like terms.
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10. Objective 1: Combine like terms using the distributive property.
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11. Objective 1: Combine like terms using the distributive property.
Example
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12. Objective 2: Simplify expressions.
Simplify by combining like terms.
Example
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13. Objective 2: Simplify expressions.
Simplify 5(10y).
Example
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14. Objective 2: Simplify expressions.
Example
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15. Objective 3: Use the distributive property to multiply.
Simplify 6(y – 4).
Example
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16. Objective 3: Use the distributive property to multiply.
Simplify –2(4a + 3).
Example
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17. Objective 3: Use the distributive property to multiply.
Simplify 8 + 3(x – 2).
Example
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