Question

Three times a number x increased by 8 is 14. Which one of the following equations represents the given statement?

a) 3x + 8 = 14
b) 3x - 8 = 14
c) 3x + 8 = -14
d) 3x - 8 = -14

Answer 1

The given statement is “Three times a number x increased by 8 is 14”. We can represent this statement using the equation: 3x + 8 = 14. Option A is answer.

Step-by-step explanation:

The given statement can be translated into the following equation:

3x + 8 = 14

This equation states that three times a number x, plus 8, equals 14. This is the only equation that matches the given statement.

The other equations are incorrect:

3x - 8 = 14: This equation states that three times a number x, minus 8, equals 14.

3x + 8 = -14: This equation states that three times a number x, plus 8, equals -14.

3x - 8 = -14: This equation states that three times a number x, minus 8, equals -14.

Therefore, the correct equation is 3x + 8 = 14. Option A is answer.