First we must solve the bottom situations.
___________________________________________ (2A and 2B)
First expression (2A): 2v+8.3+2v-6.1
⇒ Collect like terms
(2v + 2v) + (8.3 - 6.1)
⇒ Simplify
4b + 2.2
Second expression (2B): 3v+14.4-v
⇒ Collect like terms
(3v - v) + 14.4
⇒ Simplify
2v + 14.4
They are not equivalent because when simplified they both have different coefficients and constants each of different values.
_____________________________________________ (4A and 4B)
First expression (4A): 10 + 3 (1/3x + 2)
⇒ Simplify 1/3x to x/3.
10 + 3(x/3 + 2)
⇒ Expand by distributing terms.
10 + x + 6
⇒ Collect like terms.
x + (10 + 6)
⇒ Simplify.
x + 16
Second expression: x + 16
This expression can not be simplified any further. This is because it is a simplified version of another expression.
These expressions are equivalent because expression 4B is the simplified version of expression 4A.
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Level: 7th Grade
Unit: Distributing and Combing Like Terms