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Question 1 (Multiple Choice, Worth 2 points)

(Equivalent Linear Expressions LC)

Which expression is equivalent to [tex]3(4.26y - 5.07)[/tex]?

A. [tex]12.78y - 5.07[/tex]

B. [tex]12.78y + 5.07[/tex]

C. [tex]12.78y - 15.21[/tex]

Sagot :

GinnyAnswer
To determine which expression is equivalent to [tex]\( 3(4.26y - 5.07) \)[/tex], we need to distribute the 3 across the terms inside the parentheses. Here’s a step-by-step breakdown of the process:

1. Distribute the 3 to the first term [tex]\( 4.26y \)[/tex]:
[tex]\[ 3 \times 4.26y = 12.78y \][/tex]

2. Distribute the 3 to the second term [tex]\(-5.07\)[/tex]:
[tex]\[ 3 \times -5.07 = -15.21 \][/tex]

3. Combine these two results to form the equivalent expression:
[tex]\[ 12.78y - 15.21 \][/tex]

Having performed this distribution step-by-step, we can see that the equivalent expression is:
[tex]\[ 12.78y - 15.21 \][/tex]

Therefore, the correct answer is:
[tex]\[ 12.78y - 15.21 \][/tex]
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