Writing Equations Worksheet
Practice writing algebraic equations from word problems and given information at a Grade 9 level.
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Writing Equations Practice
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Read each problem carefully and write an algebraic equation to represent the given situation. Define your variables clearly.
1. A number increased by seven is equal to twenty-three. Write an equation to represent this.
Let x be the number.
2. Three times a number, decreased by five, is eleven. Write an equation to represent this.
Let n be the number.
3. The sum of two consecutive integers is forty-five. Write an equation to represent this.
Let x be the first integer.
Fill in the blanks to complete the equations based on the phrases.
1. Eight less than twice a number is fourteen. 2x - = 14
2. The product of a number and six is thirty. 6 = 30
3. Half of a number plus nine is fifteen. /2 + 9 = 15
1. Which equation represents 'The perimeter of a square with side length 's' is 36 units'?
s² = 36
4s = 36
s + 4 = 36
s / 4 = 36
2. Sarah is 'x' years old. Her brother is 3 years older than her. Their combined age is 25. Which equation represents this?
x + 3 = 25
x + (x + 3) = 25
3x = 25
2x + 3 = 25
For each scenario, define your variables and then write an equation.
1. A rectangular garden has a length that is twice its width. The perimeter of the garden is 48 meters.
Define variables:
Equation:
2. John bought 'c' candies at $0.75 each and a drink for $2.50. He spent a total of $10.00.
Define variables:
Equation:
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