Which phrase matches the algebraic expression below? 3(x + 7) + 10
Three times the difference of x and seven plus ten
Three times x minus seven plus ten
Three times the sum of x and seven plus ten
Three times x plus the sum of seven and ten

Solution:

Given algebraic expression 3(x + 7) + 10

The first step is to observe all the operations

Then we have BODMAS- which means bracket-of, division, multiply, add and subtract,

We need to evaluate in the same manner

Let’s first compute brackets (x + 7): it is the sum of x and 7

Then the sum is multiplied by 3, hence it is three times

Finally, 10 is added to that result.

Therefore, it is Three times the sum of x and seven plus ten

Which phrase matches the algebraic expression below? 3(x + 7) + 10

Summary:

Three times the sum of x and seven plus ten is the phrase that best matched with the expression 3(x + 10) + 10