Test
Systems of equations word problems test
Practise writing and solving systems of equations from word problems by defining variables, forming two equations, then choosing the system or checking solutions using substitution/elimination. Level: 8th grade.
By Edform · Mathematics · Grade 8 · Published Oct 28, 2026 · New
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Questions
- A museum sells adult tickets for $12 and student tickets for $8. A group buys 23 tickets for $232. Let a represent adult tickets and s represent student tickets. Which system models the situation?
- A cafe sells small cups of lemonade for $2 and large cups for $3. It sells 24 cups for a total of $64. How many large cups does it sell?
- A gym has 40 adult and student members. Adult memberships cost $8 and student memberships cost $5, and the gym collects $260. Let a represent adults and s represent students. Select all statements that are correct.
- A community event sold 20 adult and child tickets. Adult tickets cost $10 and child tickets cost $6. If the event collected $156, then 9 adult tickets and 11 child tickets satisfy both totals.
- A school fundraiser sells turkey sandwiches for $7 and veggie sandwiches for $5. It sells 30 sandwiches and collects $174. How many turkey sandwiches are sold?
- Two numbers have a sum of 31 and a difference of 7. What is the larger number?
- A school store sells pencils for $1 and notebooks for $3. It sells 40 items and collects $84. How many notebooks does it sell?
- At a school event, 2 adult tickets and 3 child tickets cost $39. Also, 3 adult tickets and 2 child tickets cost $41. Let a be the adult ticket price and c the child ticket price. Select all statements that correctly represent the situation.
- What do you call a system of equations that has no ordered pair satisfying both equations?
- A school play sells 120 tickets. Floor tickets cost $10 and balcony tickets cost $6, and the total collected is $960. Let f represent floor tickets and b represent balcony tickets. Which system models the situation?
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