Question

1. write an equation for the sentence. then solve the equation. three times a number increased by 7 is -20.

Explanation:

Step1: Define the variable and form the equation

Let the number be \( x \). Three times the number is \( 3x \), increased by 7 is \( 3x + 7 \). This equals -20, so the equation is \( 3x + 7 = -20 \).

Step2: Subtract 7 from both sides

Subtract 7 from each side to isolate the term with \( x \): \( 3x + 7 - 7 = -20 - 7 \), which simplifies to \( 3x = -27 \).

Step3: Divide by 3

Divide both sides by 3: \( \frac{3x}{3} = \frac{-27}{3} \), so \( x = -9 \).

Answer:

The equation is \( 3x + 7 = -20 \) and the solution is \( x = -9 \).