Algebra I—Equations Worksheet #1 Name_______________________________ Name the property used in each example. (Choose one.) 1. x+5=5+x ________ (a) Associative property (c) Commutative property of addition 2. 3(a – 4) = 3a – 12 ________ (a) Associative property of multiplication (c) Multiplicative inverse
(b) Additive identity (d) Additive inverse
(b) Distributive property (d) Commutative property of multiplication
3. 4 + (3 + n) = (4 + 3) + n ________ (a) Associative property of addition (b) Distributive property (c) Additive identity (d) Additive inverse 4. (2x)(1) = 2x _________ (a) Multiplicative inverse (b) Multiplicative identity (c) Commutative property of multiplication (d) Associative property of multiplication 5. 4q + -4q = 0 _________ (a) Additive inverse (c) Commutative property of addition
(b) Additive identity (d) Distributive property
Identify each of the following as an “expression” or an “equation.” 6. d = rt ___________ 7. 3(x + 2) _______________
8. x 2 4x 12 ______________
9.
x 9 3 _________________ 10
10. How can you tell an equation from an expression?
Solve each equation. CHECK the equations with a star (*). 11. a – 4 = -10 12.* 396 = x + 256
13.
c + 2.1 = 3.5
13.*
15 = n + 2.2
14.
-3m = 9
15.
-3m = -9
16.
3m = -9
17.
r 1.5 3.2
18.*
8 = 4x
Bonus problems: 15. 5x + 8 = 48 16. 5.2 + 1.3x = -1.3
17.
9 – c = -13
18.
4
n 10 2