Which expression is equivalent to 3(7u+2)+8?

A. 21u+14
B. 21u+ 10
C.14u + 21
D. 7u+14

3 answers

To simplify the expression 3(7u+2) + 8, we first distribute the 3 across the terms inside the parentheses:

3 * 7u = 21u
3 * 2 = 6

So, 3(7u+2) simplifies to 21u+6.

Now, we can rewrite the original expression as:

21u+6+8

Combining like terms, we get:

21u+14

Therefore, the correct equivalent expression is:

A. 21u+14.
Which expression is equivalent to 9(2x+4)+5?
A. 41x+ 18
B. 18x + 9
C. 18x + 41
D. 2x + 41
To simplify the expression 9(2x+4) + 5, we first distribute the 9 across the terms inside the parentheses:

9 * 2x = 18x
9 * 4 = 36

So, 9(2x+4) simplifies to 18x+36.

Now, we can rewrite the original expression as:

18x+36+5

Combining like terms, we get:

18x+41

Therefore, the correct equivalent expression is:

C. 18x+41.