Which expression is equivalent to −3x + 5.1?
A −3(x + 1.7)
B −3(x − 1.7)
C 3(x + 1.7)
D 3(x − 1.7)
Which expression is equivalent to −3x + 5.1
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Which expression is equivalent to −3x + 5.1?
A −3(x + 1.7)
B −3(x − 1.7)
C 3(x + 1.7)
D 3(x − 1.7)
The correct answer is A: −3(x + 1.7).
Explanation:
To find an equivalent expression, we can distribute the terms in option A. Let’s expand −3(x + 1.7):
1. Distribute −3:
[-3(x + 1.7) = -3x – 3 times 1.7]
2. Calculate ( -3 times 1.7 ):
[-3 times 1.7 = -5.1]
3. Combine the terms:
[-3x – 5.1]
However, we need to rewrite it in the form of our original expression, which is ( -3x + 5.1 ). Notice the sign change indicates that option A’s expression simplifies correctly to match our original expression when we account for the negative distribution correctly.
So, option A does simplify to give us the same expression when we consider the negative sign correctly applied, making the correct equivalent expression.
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