Translating Sentences into Equations
Practice translating word problems and sentences into algebraic equations for Grade 6 math students.
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Translating Sentences into Equations
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Read each sentence carefully and translate it into an algebraic equation. Use the variable 'x' for the unknown number unless stated otherwise.
1. Ten more than a number is twenty-five.
2. The product of a number and three is eighteen.
3. A number decreased by seven is twelve.
4. The quotient of a number and five is four.
5. Which equation represents 'Eight less than a number is fifteen'?
8 - x = 15
x - 8 = 15
x + 8 = 15
8x = 15
6. Which equation represents 'Four times a number, plus two, is fourteen'?
4 + x + 2 = 14
4(x + 2) = 14
4x + 2 = 14
x/4 + 2 = 14
7. Sarah bought 3 notebooks and a pen. The pen cost $2. If she spent a total of $11, write an equation to find the cost of one notebook (n).
8. A rectangle has a perimeter of 30 cm. Its length is 10 cm. Write an equation to find its width (w).
9. The sentence 'A number divided by six is three' can be translated as x / 6 = 3.
True
False
10. 'Five less than twice a number is seven' translates to 5 - 2x = 7.
True
False
11. The image below shows a balanced scale. Write an equation that represents the situation where 'x' is the weight of one unknown block.
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