Name:
Date:
Algebraic Expressions
SECTION 1:
Decide if the expressions are equivalent and show work that defends your answer
1. 6(p + w) and 6p + w _________
2. 7y – 12 and 97 – 12 ________
3. 0 * 11 + 5n and 5n _________
4. 7(1 * 2h) and 21h ____________
5. 16s - 4 + s and 12s __________
6. 11(p + q) and 11p + (7q + 4q) ________________
7. 10t + 4 and 14t __________________
Write which property is shown:
8) 5 + (k + 2) = (5 +k) +2
9) 8(w + 3) = 8w + 24
10) 6 + 3 + 2 + w = 6 + w + 2 + 3
11) 4m + 4p = 4p + 4m
Use the distributive property to write an equivalent expression
12) 3(10x + 20) _______________________
13) 2(7m + 12)__________________
14) 16(w – 10) __________________
15) 7(4r + 12) _________________
SECTION 2 (REVIEW): Order of operations: Show all work as you use PEMDAS
to solve.
20) 34 – 2(1 + 9) =
21)
(55-30) + (2+4) + (9-3) =
22) (18 – 10 + 2)2  (9 – 4)2 =
23)
90  9  3  2  12 
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SECTION THREE: Algebraic Expressions. Show all work as you solve.
Solve for x = 4 y = 2
24)
( x  y  z )  3x
z=5
25)( x + y )+ (z + 2)
26) (z - y)2 + x