Creating Equations from Word Problems
Practice creating algebraic equations from real-world word problems.
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Creating Equations from Word Problems
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Read each word problem carefully. Write an algebraic equation to represent the situation. You do NOT need to solve the equation.
1. Sarah bought 3 notebooks and a pen. The pen cost $2. If she spent a total of $11, write an equation to find the cost of one notebook (n).
2. A baker made some cookies (c). He sold 25 cookies and has 15 cookies left. Write an equation to represent this situation.
3. There are twice as many red apples as green apples in a basket. If there are 12 red apples, write an equation to find the number of green apples (g).
For each problem, identify the variable and the operation(s) needed to form the equation.
4. Mark has 'x' comic books. He received 5 more for his birthday and now has 18 comic books. Variable: Operation(s):
5. Emily shared 'y' candies equally among 4 friends. Each friend received 6 candies. Variable: Operation(s):
6. A shirt costs $20. You have a discount coupon for 'd' dollars off. If the final price is $15, which equation represents this situation?
d - 20 = 15
20 - d = 15
20 + d = 15
d + 15 = 20
7. A rectangle has a perimeter of 30 cm. Its length is 10 cm and its width is 'w' cm. Which equation represents this?
10 + w = 30
2(10 + w) = 30
10w = 30
10 + 2w = 30
8. The statement 'A number increased by 7 is 15' can be written as n + 7 = 15.
True
False
9. If 'k' is the number of cookies and you divide them among 3 friends, each getting 7 cookies, the equation is k - 3 = 7.
True
False
10. A balance scale is shown below. If each cube weighs 'c' grams and the sphere weighs 10 grams, write an equation that represents the balanced scale.
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