Homework 47: Equivalent Expressions
Find the equivalent for each expression. 
2.    3a + a + a  = 
1.    x + x + x + x + x = 
3.    p + p + p - 2p = 
4.   m + m + m + m + m + m + m = 
5.   w + 2w + w - w + 5w = 
6.   r + r + r =
Find the equivalent of each expression. 
1.    x + x + y + y + y = 
2.    a + a + a + a + b + b + b = 
3.    r + t + t + r + r + r + t + t = 
4.    m + m + m + m + m + m + n = 
5.    s + s + s + s + s + w + w  = 
1.    4h = 
Find the equivalent of each expression by expanding. 
2.   8k = 
3.   2w + 5v = 
4.   6p + 3q = 
5.    2m - n = 
Find the equivalent of each expression. 
Use parenthesis for multiplication. 
Example:    x6 = (x) (x) (x) (x) (x) (x)
5.   w3 =
4.   k6 =
3.   s7 =
1.    m5
2.    p4 =
Find the equivalent of each expression. 
Use parenthesis for multiplication. 
Example:    x6 + y2 = (x) (x) (x) (x) (x) (x) + (y) (y)
5.   w3v2=
4.   k3h3 =
3.   s7 + w4=
1.    m5 + n2
2.    p4  - q3=
1.    (p) (p) (p) = 
MULTIPLE CHOICE: Find the equivalent for each expression. 
2.   (w) (w) = 
4.    (p) (p) (p) (p) (r) (r) (r) = 
3.   (x) (x) (x) (x) (x) (x) (x) (x) = 
5.    (w) (w) (w) (w) (w) (w) (w) + (y) (y) (y) = 
6.    (m) (m) (m) - (h) (h) (h) = 
2w
p3
w2
3p
p4r3
3m - h3
2w2
x8
3p3
4p(3p)
8x
w7 + y3
m3 - h3
8x8
7w + 3y
Which of the following are equivalent expressions? 
SELECT ALL THAT APPLY. 
B.    4w + 3p = w × w × w × w + p × p × p
A.    5c2 - 14 = 5 × c + c - 14
C.   r + 12 + 2b = r + 12 + b + b
D.  5s3 - 37 =  5 × s × s × s - 37
E.   3a + 7b = a + a + a + b + b + b + b + b + b + b 
Which of the following are equivalent expressions? 
SELECT ALL THAT APPLY. 
B.    5w + 2p = w + w + w + w + w + p + p 
E.   6a + 7b = a +  a + a+ a + a + a + b + b + b + b + b + b + b 
A.    4c2 - 6 = 4 × c × c - 6
D.  5s3 - 37 =  s + s + s + s + s × s × s - 37
C.   a + 17 + 3m = a + 17 + m + m + m
Which of these expressions is equivalent to  20a2?
  4a + 5a
12a + 8a
  4a × 5a
12a × 8a
Which of these expressions is equivalent to  24w2?
  20w × 4w 
  6w + 4w
  20w + 4w 
  6w × 4w
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