1. Problems From Equations

2. Independent Practice
Translate the following statements into equations.
The product of six and a number, plus seven, is twenty-five.
Four less than a number is eleven.
The product of a number increased by three and eight is forty.
Three less than a number, divided by five, is two.

3. Independent Practice Problem 1 Solution
The product of six and a number, plus seven, is twenty-five.
The product of six and a number… 6x …plus seven… …is… = … twenty-five
  6x + 7 = 25

4. Independent Practice Problem 2 Solution
Four less than a number is eleven.
Four less than a number… x – 4 …is… = …eleven
 x – 4 = 11

5. Independent Practice Problem 3 Solution
3) The product of a number increased by three and eight is forty.
  …a number increased by 3… (x + 3) The product of a number increased by three and eight … 8(x + 3) …is… = …forty
 8(x + 3) = 40

6. Independent Practice Problem 4 Solution
Three less than a number, divided by five, is two.
Three less than a number… x – 3 …divided by five … ÷ 5 …is… = …two
(x – 3) ÷ 5 = 2 or

7. More Independent Practice
Translate the following equations into word problems.
3x + 4 = 13
5x – 4 = 11
4 + x = 9
8) 5(x – 4) = 10

8. Independent Practice Problem 5 Solution
5) 3x + 4 = 13
There are several possibilities, depending on the words you choose for each part of the statement.
Three times a number, increased by four, is thirteen.
Four more than the product of three and a number is thirteen.
What number tripled, plus four, is thirteen?

9. Independent Practice Problem 6 Solution
6) 5x – 4 = 11
There are several possibilities, depending on the words you choose for each part of the statement.
Five times a number, decreased by four, is eleven.
Four less than the product of five and a number is eleven.
Four less than five times what number is eleven?

10. Independent Practice Problem 7 Solution
7) 4 + x = 9
There are several possibilities, depending on the words you choose for each part of the statement.
The sum of four and a number is nine.
A number added to four is nine.
What number increased by four is nine?

11. Independent Practice Problem 8 Solution
8) 5(x – 4) = 10
There are several possibilities, depending on the words you choose for each part of the statement.
The product of four less than a number and five, is ten.
A number minus four, multiplied by five, is ten.
Four less than what number, times five, is ten?

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