Study Guide and Intervention (continued) - MathnMind
Study Guide and Intervention (continued) - MathnMind
Study Guide and Intervention (continued) - MathnMind
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1-5<br />
NAME ______________________________________________ DATE ____________ PERIOD _____<br />
<strong>Study</strong> <strong>Guide</strong> <strong>and</strong> <strong>Intervention</strong><br />
The Distributive Property<br />
Evaluate Expressions The Distributive Property can be used to help evaluate<br />
expressions.<br />
Distributive Property<br />
Example 1<br />
For any numbers a, b, <strong>and</strong> c, a(b c) ab ac <strong>and</strong> (b c)a ba ca <strong>and</strong><br />
a(b c) ab ac <strong>and</strong> (b c)a ba ca.<br />
Rewrite 6(8 10) using the Distributive Property. Then evaluate.<br />
6(8 10) 6 8 6 10 Distributive Property<br />
48 60 Multiply.<br />
108 Add.<br />
Example 2<br />
Rewrite 2(3x 2 5x 1) using the Distributive Property.<br />
Then simplify.<br />
2(3x 2 5x 1) 2(3x 2 ) (2)(5x) (2)(1) Distributive Property<br />
6x 2 (10x) (2) Multiply.<br />
6x 2 10x 2 Simplify.<br />
Exercises<br />
Rewrite each expression using the Distributive Property. Then simplify.<br />
1. 2(10 5) 2. 6(12 t) 3. 3(x 1)<br />
4. 6(12 5) 5. (x 4)3 6. 2(x 3)<br />
1<br />
7. 5(4x 9) 8. 3(8 2x) 9. 126 x 2<br />
1<br />
1<br />
10. 122 x 11. (12 4t) 12. 3(2x y)<br />
2<br />
4<br />
13. 2(3x 2y z) 14. (x 2)y 15. 2(3a 2b c)<br />
16. (16x 12y 4z) 17. (2 3x x2 )3 18. 2(2x2 1<br />
3x 1)<br />
4<br />
© Glencoe/McGraw-Hill 25 Glencoe Algebra 1<br />
Lesson 1-5
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