Question

Translate each sentence into an equation. Then find each number.

The difference between four times a number and six is –46.
Question 1 options:

Answer 1

4x - 6 = -46

x = -10

Explanation:

We are given the following sentence equation into a mathematical equation and then solve it to find each number:

The difference between four times a number and six is –46.

Translating it in chunks to make it easier:

1) The difference between ---> means there is a subtraction sign

2) four times a number ---> assuming x to be the number ---> 4x

3) and six ---> 6

4) is -46 ---> = -46

Combining these to get:

`4x - 6 = -46`

`4x = -46 + 6`

`4x = -40`

`x=(-40)/(4)`

x = -10

Answer 2

Equation: 4x - 6 = -46

Solution: x=10.

Explanation:

The difference between four times a number and six translated into a equation is: 4x - 6 = -46.

Solving for 'x'we have:

4x = -46 + 6 ⇒ 4x = -40 ⇒ x = 10.

Then, the solution is: x=10