Download Algebra 2.5: Apply the Distributive Property, Pages 96

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Algebra 2.5: Apply the Distributive Property, Pages 96-98
Objective: I will be able to use the distributive property.
Vocabulary: equivalent expressions, distributive property, term, coefficient,
constant term, like terms
Example 1:
Apply the distributive property to write an equivalent expression.
1. 3(x + 6)
2. y(y – 12)
3. 3(3x – 9)
4. 5x(4 – x)
5. 2(x + 7)
6. 2(4x + 6)
7. x(x – 3)
8. 2x(7 + 3x)
Example 2:
Apply the distributive property to write an equivalent expression.
9. (y – 2)(-y)
10. –(3y – 9)
11. –2(3x + 8)
12. -5x(4 – x)
13. –(2x + 3)
14. –5(2x - 6)
15. (n – 7)(-n)
16. -3m(4 + 2m)
Example 3:
Identity the terms, like terms, coefficients and constants in the expression.
17. 3x – 4 – 6x + 2
18. -2x – 8 + 6x - 5
Terms:
Terms:
Like terms:
Like terms:
Coefficients:
Coefficients:
Constants:
Constants:
Example 4:
Simplify an expression.
19. 6(x + 3) + 4(x – 2)
20. -4(x + 3) + 2(x + 7)
21. -3(x – 2) – 6(x – 5)
Summary:
In your own words, how can you use the distributive property to simplify expressions?