Creating Equations from Word Problems
Practice creating one-variable linear equations from real-world word problems at an 8th-grade level.
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Creating Equations from Word Problems
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Read each word problem carefully and create a one-variable linear equation to represent the situation. You do not need to solve the equations.
1. A taxi service charges a flat fee of $3.50 plus $2.25 per mile. If the total cost of a ride was $19.25, write an equation to represent the number of miles (m) traveled.
2. Sarah bought 3 shirts and a pair of jeans. The jeans cost $35, and she spent a total of $80. Write an equation to find the cost (c) of one shirt.
3. The perimeter of a rectangle is 54 cm. The length is 5 cm more than the width. Which equation represents this situation if 'w' is the width?
2w + 2(w + 5) = 54
w + (w + 5) = 54
2w + 5 = 54
2(w + 5) = 54
4. Mark has $50 in his savings account and adds $5 each week. If 'w' represents the number of weeks, the equation that shows when he will have $120 is .
5. The statement 'Twice a number decreased by seven is equal to twenty-three' can be written as the equation 2n - 7 = 23.
True
False
6. A family went to a concert. They bought 4 tickets and paid $15 for parking. The total cost was $115. Write an equation to represent the cost (t) of one ticket.
7. Emily is 3 years older than her brother, David. The sum of their ages is 29. Write an equation to find David's age (d).