# Algebra: Translating Words into Math

The sum of five and a number is twenty. Which equation represents this statement?

- "The sum of five and a number" can be translated to "5 + x," and "is twenty" can be translated to " = 20." Therefore, the correct equation is 5 + x = 20.

Three times a number decreased by four equals fourteen. Which equation represents this statement?

- "Three times a number" can be translated to "3x," "decreased by four" can be translated to "-4," and "equals fourteen" can be translated to "= 14." Therefore, the correct equation is 3x 4 = 14.

A number multiplied by six is thirty. Which equation represents this statement?

- "A number multiplied by six" can be translated to "6x," and "is thirty" can be translated to "= 30." Therefore, the correct equation is 6x = 30.

The quotient of a number and nine is five. Which equation represents this statement?

- "The quotient of a number and nine" can be translated to "x / 9," and "is five" can be translated to "= 5." Therefore, the correct equation is x / 9 = 5.

The sum of twice a number and four is ten. Which equation represents this statement?

- "Twice a number" can be translated to "2x," "the sum of" can be translated to "+," "and four" can be translated to "+ 4," and "is ten" can be translated to "= 10." Therefore, the correct equation is 2x + 4 = 10.

A number decreased by three times itself is two. Which equation represents this statement?

- "A number decreased by three times itself" can be translated to "x 3x," and "is two" can be translated to "= 2." Therefore, the correct equation is x 3x = 2.

The product of a number and three increased by eight is twenty-five. Which equation represents this statement?

- "The product of a number and three" can be translated to "3x," "increased by eight" can be translated to "+ 8," and "is twenty-five" can be translated to "= 25." Therefore, the correct equation is 3x + 8 = 25.

Four more than twice a number is fourteen. Which equation represents this statement?

- "Twice a number" can be translated to "2x," "four more than" can be translated to "+ 4," and "is fourteen" can be translated to "= 14." Therefore, the correct equation is 2x + 4 = 14.

A number divided by two increased by six is thirteen. Which equation represents this statement?

- "A number divided by two" can be translated to "x / 2," "increased by six" can be translated to "+ 6," and "is thirteen" can be translated to "= 13." Therefore, the correct equation is x / 2 + 6 = 13.

The difference between a number and ten is twice the number. Which equation represents this statement?

- "The difference between a number and ten" can be translated to "x 10," and "is twice the number" can be translated to " = 2x." Therefore, the correct equation is x 10 = 2x.