Translating Sentences Into Equations

Translating Sentences Into Equations

Read each sentence carefully and translate it into a mathematical equation. Use 'x' as the variable for the unknown quantity unless otherwise specified.

1. Five more than a number is equal to twelve.  

2. The product of seven and a number is forty-nine.  

3. A number decreased by three is ten.  

4. The quotient of a number and four is five.  

5. Three times the sum of a number and eight is twenty-four.

6. The difference between twice a number and six is equal to the number increased by four.

7. When a number is squared and then decreased by nine, the result is seven times the number.

Match each verbal sentence on the left with its corresponding algebraic equation on the right.

11. The sentence 'The sum of a number and ten is twenty' translates to x + 10 = 20.

12. 'Four less than a number cubed is fifty' translates to (x - 4)³ = 50.

13. The perimeter of a rectangle is 60 cm. If the length is twice its width, write an equation that represents this situation. Use 'w' for width and 'l' for length.

14. A store is having a sale where all items are 20% off. If the original price of an item is 'p', write an equation that represents the sale price 's'.