Writing Equations Worksheet
Grade 11 Math worksheet focusing on translating word problems into algebraic equations.
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Writing Equations: Grade 11 Algebra
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Read each problem carefully and translate the given information into an algebraic equation. You do not need to solve the equations.
Write an algebraic expression for each verbal phrase:
1. The sum of a number and 15:
2. Eight less than twice a number:
3. The product of 7 and a number, decreased by 4:
4. The quotient of a number and 3, increased by 10:
Translate each word problem into a single algebraic equation. Define your variable(s). You do not need to solve the equations.
1. A rectangular garden has a perimeter of 48 feet. If the length of the garden is 6 feet more than its width, write an equation to represent the perimeter in terms of its width.
2. Sarah bought 3 notebooks and 2 pens for a total of $17. If each pen costs $2.50, write an equation to find the cost of one notebook.
3. The sum of three consecutive integers is 72. Write an equation to represent this situation.
Choose the correct equation that represents the given statement.
1. Five times a number is equal to 30.
x + 5 = 30
5x = 30
x / 5 = 30
x - 5 = 30
2. Two less than three times a number is 10.
3x - 2 = 10
2 - 3x = 10
3(x - 2) = 10
3x + 2 = 10
Determine if the given equation correctly represents the verbal statement. Mark True or False.
1. Statement: The sum of a number and 7 is 20. Equation: n + 7 = 20
True
False
2. Statement: Half of a number is 15. Equation: 2n = 15
True
False
A local charity is organizing a fundraiser. They sold adult tickets for $12 each and student tickets for $7 each. If they sold 150 tickets in total and raised $1450, write a system of two equations to represent this situation. Define your variables.