Writing Equations Worksheet
This worksheet helps 7th-grade students practice writing one-variable equations from verbal descriptions and real-world scenarios.
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Writing Equations
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Read each statement carefully and write a one-variable equation to represent the situation. Use the variable 'x' for the unknown quantity unless otherwise specified.
1. Five more than a number is twelve.
2. The product of a number and seven is twenty-one.
3. A number decreased by three is ten.
4. The quotient of a number and four is five.
5. Sarah bought a book for $15 and a pen. If she spent a total of $22, write an equation to find the cost of the pen (p).
6. A rectangle has a length of 8 cm and an unknown width (w). If its perimeter is 26 cm, write an equation to find the width.
7. Tom has some marbles. He doubles the number of marbles he has and then gives away 5. He now has 19 marbles. Write an equation to represent this situation.
8. Which equation represents 'three less than twice a number is fifteen'?
3 - 2x = 15
2x - 3 = 15
2(x - 3) = 15
3x - 2 = 15
9. A number increased by 6 is 18. Which equation represents this statement?
x - 6 = 18
6x = 18
x + 6 = 18
x / 6 = 18
10. The statement 'A number divided by two is nine' can be written as 2x = 9.
True
False
11. 'Four times a number, minus one, is equal to seven' can be written as 4x - 1 = 7.
True
False