Translating Sentences into Equations
Practice translating word problems and verbal sentences into algebraic equations.
Includes
Standards
Translating Sentences into Equations
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Read each sentence carefully and translate it into an algebraic equation. Use 'x' as your variable unless otherwise specified.
1. A number increased by seven is fifteen.
2. The product of six and a number is twenty-four.
3. Ten less than a number is thirty-two.
4. The quotient of a number and five is twelve.
5. Which equation represents 'Three times a number decreased by four is seventeen'?
3 - 4x = 17
4 - 3x = 17
3x - 4 = 17
4x - 3 = 17
6. Which equation represents 'The sum of a number and nine is equal to twice the number'?
x + 9 = 2x
9x = 2x
x + 2 = 9x
x + 9 = x^2
7. Sarah bought 3 books and a magazine. The magazine cost $5. If she spent a total of $29, write an equation to find the cost of one book (b).
8. A rectangle has a perimeter of 50 cm. Its length is 5 cm more than its width. Write an equation to find the width (w) of the rectangle.
9. The sentence 'Four less than twice a number is ten' translates to 2x - 4 = 10.
True
False
10. The sentence 'The total of a number and its half is eighteen' translates to x + 0.5x = 18.
True
False