Translating Equations Worksheet
Grade 7 math worksheet on translating word problems into algebraic equations and vice versa.
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Standards
Topics
Translating Equations
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Read each question carefully and follow the instructions to translate between word problems and algebraic equations.
Write an algebraic equation for each verbal phrase.
1. Five more than a number is twelve.
2. A number decreased by seven is fifteen.
3. The product of three and a number is twenty-one.
4. The quotient of a number and four is nine.
5. Ten less than twice a number is sixteen.
Write a verbal phrase for each algebraic equation.
6. x + 8 = 20
7. y - 5 = 13
8. 6n = 42
9. Which equation represents "Three times a number increased by one is ten"?
3 + n + 1 = 10
3n + 1 = 10
3n - 1 = 10
n + 3 + 1 = 10
10. The equation 15 - x = 7 can be translated as:
Fifteen and a number is seven.
Fifteen minus a number equals seven.
A number subtracted from fifteen is seven.
Both b and c.
Indicate whether each statement is True or False.
11. The phrase "twice a number" translates to 2 + n.
True
False
12. "A number divided by five" can be written as n/5.
True
False
13. Sarah bought 3 notebooks and a pen. The pen cost $2. If her total bill was $17, write an equation to represent the situation, where 'n' is the cost of one notebook.
14. A rectangle has a perimeter of 30 cm. Its length is 8 cm. Let 'w' be the width of the rectangle. Write an equation that represents the perimeter.