Question

which equation means \the product of seven and a number increased by twelve is ninety - three\?
a. 7x + 12 = 93
b. 7 + 12x = 93
c. \frac{x}{7}+(12)=93
d. 7+\frac{x}{2}=93

Explanation:

1. Let the number be \( x \).

• "The product of seven and a number" translates to \( 7\times x = 7x \).
• "Increased by twelve" means we add 12 to the product, so \( 7x + 12 \).
• "Is ninety - three" means this expression equals 93, so the equation is \( 7x+12 = 93 \).
• For option B, it represents "7 plus the product of 12 and a number", which is not what the problem states.
• For option C, it represents "a number divided by 7 plus 12", which is incorrect.
• For option D, it represents "7 plus a number divided by 2", which is also incorrect.

Answer:

A. \( 7x + 12 = 93 \)