Translating Sentences Into Equations
Practice translating verbal descriptions into algebraic equations, covering various mathematical operations and scenarios for Grade 12.
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Translating Sentences Into Equations
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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.
8. Half of a number is fifteen.
a. 2x - 5 = 10
9. Two less than five times a number is twenty-three.
b. x/2 = 15
10. Five less than twice a number is ten.
c. 5x - 2 = 23
11. The sentence 'The sum of a number and ten is twenty' translates to x + 10 = 20.
True
False
12. 'Four less than a number cubed is fifty' translates to (x - 4)³ = 50.
True
False
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'.