The expressions are equivalent to 22c + 33d are option A. (−2c−3d)(−11), C. (66c+99d)⋅1/3, E. 11⋅(2c+3d).
What are equivalent expressions?
Those expressions who might look different but their simplified forms are same expressions are called equivalent expressions.
To derive equivalent expressions of some expression, we can either make it look more complex or simple. Usually, we simplify it.
We have to find the expressions are equivalent to 22c + 33d.
Case A.
(−2c−3d)(−11)
(-2c*-11)+(-3d*-11)
22c+33d
Case B.
2(11c− 33/2 d)
(2*11c)+(2*-33/2 d)
22c-33d
Case C.
(66c+99d)⋅1/3
(66c*1/3)+(99d*1/3
22c+33d
Case D.
−1×(−22−33d)
22+33d
Case E.
11⋅(2c+3d)
(11*2c)+(11*3d)
22c+33d
Therefore, The expressions are equivalent to 22c + 33d are option A. (−2c−3d)(−11), C. (66c+99d)⋅1/3, E. 11⋅(2c+3d).
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