Creating Equations from Word Problems
This worksheet helps grade 9 students practice translating word problems into algebraic equations.
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Creating Equations from Word Problems
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Read each word problem carefully and write an algebraic equation that represents the situation. You do not need to solve the equations.
1. A number increased by seven is equal to twenty-three. Write an equation to represent this.
2. Three times a number, decreased by five, is sixteen. Write an equation.
3. The sum of two consecutive integers is forty-one. Write an equation.
1. If 'x' represents a number, then 'five less than twice a number' can be written as .
2. When translating 'the product of a number and eight is equal to forty-eight', the equation would be .
3. 'The quotient of a number and three is twelve' translates to the equation .
1. Which equation represents 'The perimeter of a rectangle is 50 cm. The length is 5 cm more than the width'?
w + (w+5) = 50
2w + 2(w+5) = 50
2w + 5 = 50
w(w+5) = 50
2. A car travels at a speed of 's' miles per hour for 3 hours and covers a distance of 180 miles. Which equation represents this scenario?
s + 3 = 180
s / 3 = 180
3s = 180
180 - s = 3
1. The phrase 'three less than a number' can be written as 3 - x.
True
False
2. If 'c' represents the cost of an item, and it is discounted by 20%, the new cost can be represented as c - 0.20c.
True
False
1. Sarah is three years older than twice John's age. If Sarah is 27, write an equation to find John's age (j).
2. A rectangular garden has a perimeter of 80 feet. The length of the garden is 10 feet more than its width. Write an equation to find the width (w) of the garden.