What is the algebraic expression for the following expression for the following word phrase: the sum of 3x and 7
1.3x +7
2.3x(7)
3. 3x ÷ 7
1. 3x + 7
The algebraic expression for the word phrase "the sum of 3x and 7" is 1. 3x + 7.
The algebraic expression for the word phrase "the sum of 3x and 7" can be obtained by understanding the operations involved. "The sum" means adding or combining different quantities, and "3x and 7" tells us what quantities to add.
To represent the sum of 3x and 7 algebraically, we can use the addition symbol "+" to show the combination of the two quantities. The algebraic expression is:
3x + 7
Option 1 (3x + 7) correctly represents the algebraic expression for the given word phrase.
Option 2 (3x(7)) represents the product of 3x and 7, rather than their sum. The use of parentheses typically indicates multiplication.
Option 3 (3x ÷ 7) represents the division of 3x by 7, instead of the sum. The division symbol "÷" is used for division operations.