Translating Sentences Into Equations
This worksheet focuses on translating verbal sentences into algebraic equations, a fundamental skill in algebra for grade 10 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 'x' as your variable unless otherwise specified.
1. Five less than twice a number is equal to fifteen.
2. The sum of a number and seven is twenty-three.
3. Three-fourths of a number decreased by two is ten.
4. The product of six and a number is forty-two.
5. A number increased by its half is eighteen. Write the equation.
6. The difference between three times a number and four is eleven. Write the equation.
7. Which equation represents 'The sum of two consecutive integers is 45'?
x + y = 45
x + (x + 1) = 45
2x = 45
x + 2 = 45
8. Which equation represents 'The perimeter of a square is 36 cm'?
x^2 = 36
4x = 36
x + 4 = 36
x/4 = 36
9. The sentence 'A number decreased by 8 is 15' translates to x - 8 = 15.
True
False
10. The sentence 'The quotient of a number and 3 is 9' translates to 3x = 9.
True
False
11. The image below represents an equation. Write the equation.
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