Writing Equations Worksheet
This worksheet focuses on writing algebraic equations from word problems and real-world scenarios, covering various equation types for Grade 10 Math students.
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Writing Equations
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Read each problem carefully and write an algebraic equation that represents the given situation. Do not solve the equations unless specified.
1. Eight more than three times a number is equal to twenty-three. Write an equation:
2. The difference between twice a number and seven is fifteen. Write an equation:
3. The product of a number and five, decreased by ten, is thirty-five. Write an equation:
4. Sarah bought a new jacket for $75. This was $15 less than twice the amount of money she had left in her wallet. Write an equation to represent the amount of money she had in her wallet (let 'm' be the money in her wallet).
5. A rectangular garden has a perimeter of 48 meters. The length of the garden is 4 meters more than its width. Write an equation that can be used to find the width (let 'w' be the width).
6. Which equation represents the statement: 'The sum of two consecutive integers is 85'?
x + x + 1 = 85
x + 2x = 85
x + (x+2) = 85
2x + 1 = 85
7. A cell phone plan costs $30 per month plus $0.05 per text message. If the total bill was $42, which equation represents the number of text messages (t) sent?
30t + 0.05 = 42
0.05t + 30 = 42
30 + 0.05 = 42t
42 - 0.05t = 30
8. The statement 'A number decreased by nine is equal to four times the number' can be written as n - 9 = 4n.
True
False
9. If 'x' represents the first odd integer, then 'x+1' represents the next consecutive odd integer.
True
False
10. A theater sold 250 tickets for a play. Adult tickets cost $12 each, and child tickets cost $8 each. If the total revenue from ticket sales was $2600, write a system of two equations to represent this situation. Clearly define your variables.