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)
ANSWER CORRECTLY
B) -3(x - 1.7)
To find the expression that is equivalent to -3x + 5.1, you need to distribute the -3 across the terms in the parentheses.
Option A) -3(x + 1.7) can be expanded as -3x - (3 * 1.7) = -3x - 5.1. This is not equivalent to -3x + 5.1.
Option B) -3(x - 1.7) can be expanded as -3x + (3 * 1.7) = -3x + 5.1. This is the same as the given expression -3x + 5.1. Therefore, Option B is the correct answer.
Option C) 3(x + 1.7) can be expanded as 3x + (3 * 1.7) = 3x + 5.1. This is not equivalent to -3x + 5.1.
Option D) 3(x - 1.7) can be expanded as 3x - (3 * 1.7) = 3x - 5.1. This is not equivalent to -3x + 5.1.
So, the correct answer is Option B) -3(x - 1.7).
To find an equivalent expression to −3x + 5.1, you can distribute the −3 to the terms inside the parentheses and simplify.
Let's evaluate each option:
A) -3(x + 1.7) = -3x - 5.1
B) -3(x - 1.7) = -3x + 5.1
C) 3(x + 1.7) = 3x + 5.1
D) 3(x - 1.7) = 3x - 5.1
Comparing all the options, the expression that is equivalent to −3x + 5.1 is B) -3(x - 1.7).
Therefore, the correct answer is B) -3(x - 1.7).