Which expression is equivalent to 2(2x + 7)?
Responses
A 4x - 14
B 4x + 14
C 14x + 4
D 8x + 14
The expression 2(2x + 7) can be simplified by distributing the 2 to both terms inside the parentheses:
2(2x) + 2(7) = 4x + 14
Therefore, the correct equivalent expression is:
B) 4x + 14.
Which expression is equivalent to -
1/5(10x + 15) - 2?
Responses
A -2x – 1
B -2x – 4
C -2x – 3
D -2x – 5
The expression -1/5(10x + 15) - 2 can be simplified by distributing the -1/5 to both terms inside the parentheses:
-1/5(10x) - 1/5(15) - 2 = -2x - 3 - 2 = -2x - 5
Therefore, the correct equivalent expression is:
D) -2x - 5.
To find the expression that is equivalent to 2(2x + 7), you can distribute the 2 to both terms inside the parentheses.
Step 1: Distribute the 2 to 2x and 7
2(2x + 7) = 2 * 2x + 2 * 7
= 4x + 14
Therefore, the equivalent expression is 4x + 14, which is option B.
To find the expression that is equivalent to 2(2x + 7), we can distribute the 2 to each term inside the parentheses. This means we multiply 2 by both 2x and 7.
Starting with 2(2x + 7), we multiply 2 by 2x and 2 by 7:
2 * 2x = 4x
2 * 7 = 14
Therefore, the expression that is equivalent to 2(2x + 7) is 4x + 14.
So, the correct answer is option B: 4x + 14.