Review for Mastery 3-1
Review for Mastery 3-1
Review for Mastery 3-1
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Name Date Class<br />
LESSON<br />
3-1<br />
<strong>Review</strong> <strong>for</strong> <strong>Mastery</strong><br />
Properties of Rational Numbers<br />
You can use the Commutative Property, the Associative Property, and the Distributive<br />
Property with mental math to simplify expressions.<br />
20 9 1 4 20 1 4 9 Commutative Property of Multiplication<br />
(20 1 4 ) 9<br />
5 9<br />
45<br />
Associative Property of Multiplication<br />
Multiply.<br />
Multiply.<br />
7(22) 7(20 2) Rewrite 22 as a sum.<br />
7 20 7 2 Distributive Property<br />
140 14<br />
Multiply.<br />
154<br />
Add.<br />
Simplify each expression. Fill in the names of the properties you used.<br />
1. 65 17 15 65 15 Property of<br />
(65 ) Property of<br />
<br />
<br />
2. 18 7 1 9 18 1 9 Property of<br />
( ) Property of<br />
<br />
<br />
5. 6(49) 6(50 )<br />
6 6 Property<br />
<br />
<br />
Copyright © by Holt, Rinehart and Winston.<br />
8 Holt Mathematics<br />
All rights reserved.
LESSON<br />
3-1<br />
Practice A<br />
Properties of Rational Numbers<br />
Tell which property is shown.<br />
1. (4.5 2) 8 4.5 (2 8)<br />
Assoc. Prop. of Mult.<br />
3. 6 2 3 2 3 6<br />
Comm. Prop. of Mult.<br />
2. 7 m m 7<br />
Simplify each expression. Write a reason <strong>for</strong> each step.<br />
5. 22 19 8<br />
Comm. Prop. of Add.<br />
4. (4 y) 12 4 (y 12)<br />
Assoc. Prop. of Add.<br />
22 19 8 22 8 19 Reason: Commutative Property of Addition<br />
(22 8) 19 Reason: Assoc. Prop. of Add.<br />
30 19 Reason: Add.<br />
49<br />
Reason: Add.<br />
6. 8 7 1 4 <br />
8 7 1 4 7 8 1 4 Reason:<br />
7 ( 8 1 ) Reason: Assoc. Prop. of Mult.<br />
4<br />
7 2 Reason: Multiply.<br />
14<br />
Reason: Multiply.<br />
Write each product using the Distributibe Property. Then simplify.<br />
7. 7(13) 8. 4(29)<br />
7(13) 7(10 3 ) 4(29) 4(30 1 )<br />
7 10 7 3<br />
4 30 4 1<br />
70 21<br />
<br />
Comm. Prop. of Mult.<br />
120 4<br />
91<br />
116<br />
LESSON<br />
3-1<br />
Practice B<br />
Properties of Rational Numbers<br />
Name the property that is illustrated in each equation.<br />
1. 16 1 3 1 3 16<br />
2. 4 (3 p) (4 3) p<br />
Comm. Prop. of Add.<br />
3. (11 m) 9 11 (m 9)<br />
Assoc. Prop. of Add.<br />
Assoc. Prop. of Mult.<br />
4. 6 1.5 1.5 6<br />
Simplify each expression. Write a reason <strong>for</strong> each step.<br />
5. 38 19 2<br />
38 19 2 <br />
38 2 19<br />
Reason:<br />
Comm. Prop. of Mult.<br />
(38 2) 19<br />
<br />
Reason: Assoc. Prop. of Add.<br />
40 19 Reason: Add.<br />
59<br />
Reason: Add.<br />
6. 1 3 8 18<br />
1 1 8 18 3 18 8 Reason: Comm. Prop. of Mult.<br />
3<br />
1 3 18 8 Reason: Assoc. Prop. of Mult.<br />
6 8<br />
Reason: Multiply.<br />
48<br />
Reason: Multiply.<br />
Write each product using the Distributibe Property. Then simplify.<br />
7. 7(31) 8. 5(28)<br />
7(31) 7(30 1)<br />
5(28)<br />
7 30 7 1<br />
<br />
210 7<br />
Comm. Prop. of Add.<br />
217<br />
140<br />
<br />
<br />
5(30 2)<br />
5 30 5 2<br />
150 10<br />
Copyright © by Holt, Rinehart and Winston.<br />
5 Holt Mathematics<br />
All rights reserved.<br />
Copyright © by Holt, Rinehart and Winston.<br />
6 Holt Mathematics<br />
All rights reserved.<br />
LESSON<br />
3-1<br />
Practice C<br />
Properties of Rational Numbers<br />
Complete each equation. Then name the property that is illustrated.<br />
1. 12 (4 n) ( 12 4 ) n 2. 2.7 8 8 2.7<br />
Assoc. Prop. of Add.<br />
3. 7(5 x) 7 5 <br />
Distrib. Prop.<br />
7x<br />
Comm. Prop. of Mult.<br />
4. 5 (3 6) 5 3 5 6<br />
Distrib. Prop.<br />
Simplify each expression. Write a reason <strong>for</strong> each step.<br />
5. 50 6 2 5 <br />
50 6 2 5 50 2 5 6<br />
Reason: Comm. Prop. of Mult.<br />
(50 2 5 ) 6 Reason: Assoc. Prop. of Mult.<br />
<br />
<br />
6. 3.7 9 1.3<br />
Reason:<br />
Reason:<br />
3.7 9 1.3 3.7 1.3 9 Reason:<br />
(3.7 1.3) 9<br />
5 9<br />
14<br />
Reason:<br />
Reason:<br />
Reason:<br />
Write each product using the Distributibe Property. Then simplify.<br />
7. 3(104) 8. 7(99)<br />
3(104) 3(100 4)<br />
7(99) 7(100 1)<br />
3 100 3 4<br />
7 100 7 1<br />
<br />
20 6<br />
120<br />
300 12<br />
312<br />
693<br />
<br />
Mult.<br />
Mult.<br />
Comm. Prop. of Add.<br />
Assoc. Prop. of Add.<br />
Add.<br />
Add.<br />
700 7<br />
LESSON<br />
3-1<br />
<strong>Review</strong> <strong>for</strong> <strong>Mastery</strong><br />
Properties of Rational Numbers<br />
You can use the Commutative Property, the Associative Property, and the Distributive<br />
Property with mental math to simplify expressions.<br />
20 9 1 4 20 1 9 Commutative Property of Multiplication<br />
4<br />
(20 1 4 ) 9<br />
5 9<br />
45<br />
Associative Property of Multiplication<br />
Multiply.<br />
Multiply.<br />
7(22) 7(20 2) Rewrite 22 as a sum.<br />
7 20 7 2<br />
140 14<br />
154<br />
Distributive Property<br />
Multiply.<br />
Add.<br />
Simplify each expression. Fill in the names of the properties you used.<br />
1. 65 17 15 65 15 17 Commutative Property of Addition<br />
(65 15 ) 17 Associative Property of Addition<br />
80 17<br />
97<br />
2. 18 7 1 9 18 1 <br />
9<br />
7<br />
Commutative Property of Multiplication<br />
1<br />
( 18 9 <br />
) 7 Associative Property of Multiplication<br />
2 7<br />
14<br />
5. 6(49) 6(50 1 )<br />
6 50 6 1<br />
Distributive Property<br />
300 6<br />
294<br />
Copyright © by Holt, Rinehart and Winston.<br />
7 Holt Mathematics<br />
All rights reserved.<br />
Copyright © by Holt, Rinehart and Winston.<br />
8 Holt Mathematics<br />
All rights reserved.<br />
Copyright © by Holt, Rinehart and Winston.<br />
87 Holt Mathematics
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