Question

change the word statement into an equation. use x as the variable.
twice a number is equal to five more than four times the number.

complete the corresponding equation underneath the word statement.
twice a number is equal to five more than four times the number
□ = □

Explanation:

Step1: Define the variable

Let the number be \( x \).

Step2: Translate "Twice a number"

"Twice a number" means \( 2\times x \), which is \( 2x \).

Step3: Translate "five more than four times the number"

"Four times the number" is \( 4\times x = 4x \), and "five more than" that is \( 4x + 5 \).

Step4: Set up the equation

Since "Twice a number is equal to five more than four times the number", we set \( 2x \) equal to \( 4x + 5 \).

Answer:

\( 2x = 4x + 5 \)