Which expression is equivalent to 5.4t + 6.7 + 1.8t – 4.3

Which expression is equivalent to 5.4t + 6.7 + 1.8t – 4.3
A 9.6t
B 9.6
C 3.6t + 11
D 7.2t + 2.4

The correct answer and explanation is:

The correct answer is D. 7.2t + 2.4.

Explanation:

Let’s break down the given expression:
5.4t + 6.7 + 1.8t – 4.3

First, group like terms. Like terms are terms that contain the same variable or constant. In this case, the terms with the variable t are 5.4t and 1.8t, and the constant terms are 6.7 and -4.3.

1. Combine the t terms:
   5.4t + 1.8t = 7.2t
2. Combine the constant terms:
   6.7 – 4.3 = 2.4

Now, rewrite the expression with the simplified terms:
7.2t + 2.4

Thus, the equivalent expression is 7.2t + 2.4, which matches option D.

Why the other options are incorrect:

• Option A (9.6t): This is incorrect because the t terms (5.4t and 1.8t) add up to 7.2t, not 9.6t.
• Option B (9.6): This is incorrect because it does not account for the t variable in the original expression. The expression contains a variable term, so the answer must reflect that.
• Option C (3.6t + 11): This is incorrect because neither the t terms nor the constant terms add up to 3.6t and 11. The correct t term is 7.2t and the constant term is 2.4.

Thus, D. 7.2t + 2.4 is the only correct choice.