### Algebra 2: Real Numbers and Algebraic Expressions

```Algebra 2: Real Numbers and Algebraic Expressions
Name: ___________________________________________ Topic A2: Properties of Real Numbers | VERSION A Select the property or properties that justifies the following: Use the distributive property to rewrite each of the following expressions and then simplify the result. 1.
7.
5 3π¦ + 4 = 8.
9.
2 3π₯ β 4π¦ β 4π§ = 2.
9 5 + β5
= 9 0 a.
Associative b.
Multiplicative Identity c.
Distributive d.
Multiplicative Inverse e.
!
15π¦ + 6 = 6 + 0 = 6 a.
Commutative b.
Distributive c.
Multiplicative Inverse d.
Multiplicative Identity f.
Additive Inverse Use the associative property to rewrite the following expressions and then simplify the result. 3.
4 + 7 + 5π₯ = 10. 100 0.02π₯ β 0.08π¦ = 4.
7 4π = 5.
6
1
π₯ = 6
11. π 1 +
6.
! !
! !
π₯
7
= π
= www.varsitylearning.com 1 Algebra 2: Real Numbers and Algebraic Expressions
Name: ___________________________________________ Topic A2: Properties of Real Numbers | VERSION A 12. 12
1
1
π₯ β π¦ = 4
3
Use the commutative, associative, and distributive properties to simplify the following. 16. 4π + 3 + 2π + π = 13. 4 3π β 1 + 4 = 17. 32
3
3
β 16
4
4
!
= Find the LCD and use it to perform the indicated operations. 14. 15. !!
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!!
+
+
!
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!!
= 18. 7 + 7 4π + 4π + 3 2π + 5 = 19. 4π₯ + 6 π₯ + 2 + 7 = = 20. 6π¦ + 6 6π¦ + 4 + 5 = www.varsitylearning.com 2 Algebra 2: Real Numbers and Algebraic Expressions
Name: ___________________________________________ Topic A2: Properties of Real Numbers | VERSION A Select the property or properties that justifies the following: f. additive inverse Use the distributive property to rewrite each of the following expressions and then simplify the result. 1.
7.
5 3π¦ + 4 = 15y + 20 8.
9.
2 3π₯ β 4π¦ β 4π§ = 6π₯ β 8π¦ β 8π§ 2.
9 5 + β5
= 9 0 a.
Associative b.
Multiplicative Identity c.
Distributive d.
Multiplicative Inverse e.
!
15π¦ + 6 = 5y + 2 6 + 0 = 6 d. additive identity a.
Commutative b.
Distributive c.
Multiplicative Inverse d.
Multiplicative Identity f.
Additive Inverse Use the associative property to rewrite the following expressions and then simplify the result. 3.
4 + 7 + 5π₯ = 11 + 5x 10. 100 0.02π₯ β 0.08π¦ = 2π₯ β 8π¦ 4.
7 4π = 28a 5.
6
1
π₯ = x 6
11. π 1 +
6.
! !
! !
π₯
7
= π + 7 π
= x www.varsitylearning.com 3 Algebra 2: Real Numbers and Algebraic Expressions
Name: ___________________________________________ Topic A2: Properties of Real Numbers | VERSION A 12. 12
1
1
π₯ β π¦ = 3π₯ β 4π¦ 4
3
Use the commutative, associative, and distributive properties to simplify the following. 16. 4π + 3 + 2π + π = 7π + 3 13. 4 3π β 1 + 4 = 12π β 0 17. 32
3
3
β 16
4
4
!
= 15 Find the LCD and use it to perform the indicated operations. 14. 15. !!
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!!
+
+
!
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!!
=
= !
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18. 7 + 7 4π + 4π + 3 2π + 5 = 34π + 28π + 22 !"#
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19. 4π₯ + 6 π₯ + 2 + 7 = 10π₯ + 19 20. 6π¦ + 6 6π¦ + 4 + 5 = 42y + 29 www.varsitylearning.com 4 ```