Question

Write a verbal phrase for each mathematical expression: 6(2x - 5)2

a) The square of the quantity 2 times x minus 5.
b) 6 times the square of 2 times x minus 5.
c) The square of the quantity 6 times 2x minus 5.
d) 6 times the quantity 2 times x minus 5, squared.

Answer 1

The mathematical expression 6(2x - 5) can be verbally expressed as '6 times the square of 2 times x minus 5,' which matches with option b.

Step-by-step explanation:

The correct answer is option b. The mathematical expression 6(2x - 5) represents a compound operation involving multiplication and exponentiation. Here's why:

• Breaking down the expression, we first focus on the inner part (2x - 5) which indicates a quantity where 'x' is multiplied by 2 and then 5 is subtracted from the result.
• The entire quantity (2x - 5) is then squared, as indicated by the raised '2', which means to multiply the quantity by itself.
• Finally, the result of the squaring is multiplied by 6.

Thus, the verbal phrase that correctly represents the expression 6(2x - 5)2 is option b, which reads '6 times the square of 2 times x minus 5.'

To write a verbal phrase for the mathematical expression 6(2x - 5)^2, we start by understanding each component:

An expression in parentheses means that we should perform the calculations inside the parentheses first.

2x - 5 represents the quantity 2 times x minus 5.

^2 means to square the expression.

6 times the quantity 2 times x minus 5, squared means multiplying the result of squaring 2 times x minus 5 by 6.

So, a verbal phrase for the expression 6(2x - 5)^2 is: 6 times the quantity 2 times x minus 5, squared.