Question

Write a word phrase for the algebraic expression 3X -7

a. The difference of three times a number X and seven
b. The difference of seven and three times a number X
c. three times a number c fewer than seven
d. The quotient of three times number X and seven

Answer 1

The correct word phrase for the algebraic expression 3X - 7 is 'The difference of three times a number X and seven', which describes first multiplying a number by three and then subtracting seven from the product.

Step-by-step explanation:

To write a word phrase for the algebraic expression 3X - 7, we need to describe the operation and the order in which it occurs. When translating from algebra to English, we keep the order of operations in mind. The expression 3X means 'three times a number X', and the '-' symbol represents subtraction. So, we combine these parts to create the phrase.

The correct option is a. The difference of three times a number X and seven. This is because we first multiply a number, X, by three and then we subtract seven from the result. Option b suggests that we subtract first, which does not represent the expression 3X - 7. Option c incorrectly refers to a number 'c' and option d talks about division (quotient) when the expression involves subtraction (difference).

Answer 2

The expression is : 3x-7

First of all, since it is a subtraction, then we are talking about differences between numbers
Then, since we have 3x, then we have 3 times a certain number "x"
After that, since we have 7 removed from the 3x, therefore, we have the difference between three times a number "x" and 7

Based on this, the right choice is "a"