Question

Express algebraically the following situation: The double of a number decreased by 234 is 4,280.

A) 2x234 = 4, 280
B) 2x+234 = 4, 280
C) 2x × 234 = 4, 280
D) 2(x-234) = 4,280

Answer 1

The correct algebraic expression for 'The double of a number decreased by 234 is 4,280' is 2x - 234 = 4,280. The given options are mostly incorrect, with option D closely resembling the right expression but using unnecessary parentheses.

Step-by-step explanation:

To express algebraically the situation where 'The double of a number decreased by 234 is 4,280', you must create an equation that represents this scenario. Let x represent the unknown number. 'The double of a number' translates to 2x, and 'decreased by 234' translates to subtracting 234 from this product. Therefore, the equation is 2x - 234 = 4,280. We can validate the correct option by stating that:

• Option A) 2x234 = 4,280 is incorrect because it seems to suggest multiplication instead of representing the correct relationship.
• Option B) 2x+234 = 4,280 represents addition rather than subtraction of 234.
• Option C) 2x × 234 = 4,280 incorrectly implies that the double of the number should be multiplied by 234.
• Option D) 2(x-234) = 4,280 is the correct representation, although multiplication is implied in this case, 'the double of a number decreased by 234' should simply be `2x - 234` without the use of parentheses.