Algebra To The Max!
Level 7, 2025-11-07
Q1. [4] Marcos has 6 Roman coins and Elroy has 8 Greek coins. All the coins together are worth $112. Marcos's coins are worth $16 less than Elroy's. Write the set of equations (define all variables and give labels) for the value of the coins.





Q2. [4] Find Y in terms of E: -1E + 9 = -3Y







Q3. [5] Solve the equation for P: ① P = -3(5H+4) + 3 ② 7H=6





Q4. [4] Sara is 4 inches taller than Kelly. Kelly is 2 inches shorter than Tim. Standing on top of each other the kids can reach 173 inches. Write the set of equations (define all variables and give labels) for the kid's height.










Q5. [4] You have 7 purple marbles and 8 pink marbles. Each type of marble is worth a different amount of money. You want to know how much your marbles are worth together.
Write an equation describing this situation. Define all variables used.





Q6. [3] Find F in terms of H: 9F = -8H + 4




Q7. [3] Find A in terms of P: 12A = 12P + 4




Q8. [4] Icecreams cost $3 more than Snacks. We can get 2 Snacks for the price of 1 Icecream plus $6. Write the set of equations (define all variables and give labels) for buying Icecreams and Snacks.





Q9. [4] Farmer Sally has 40 animals. Together the animals have 110 legs. Write the set of equations (define all variables and give labels) for the number of chickens and goats.





Q10. [4] Philius has some toys. Ali has 4 times more toys than Philius. Together, both kids have 50 toys. Write the set of equations (define all variables and give labels) for the number of toys the kids have.




Q11. [4] You spent $111 on shirts. Fancy shirts cost $11 and plain shirts cost $8. You purchased a total of 12 shirts. Write the set of equations (define all variables and give labels) for the numbers of plain and fancy shirts.





Q12. [4] You get paid $8 for starting work and $6 for every hour you work after you start. You want to know how much money you will get for working any amount of time.
Write an equation describing this situation. Define all variables used.





Q13. [4] In a clover field there are 9 times more 3 leaf clovers than 4 leaf clovers. There are 217 leaves in the field. Write the set of equations (define all variables and give labels) for the numbers of 3 and 4 leaf clovers.




Q14. [3] 42 cows are separated in 2 fields. There are 14 more cows in the first field than the second. Write the set of equations (define all variables and give labels) for the numbers of cows in each field.




Q15. [4] 215 kids went on a field trip. Some kids went in buses (that take 29 kids) and some went in cars (that take 3 kids). There were 11 vehicles altogether. Write the set of equations (define all variables and give labels) for the numbers of cars and buses.





Q16. [4] Meals cost $2 more than Bananas. We can get 2 Bananas for the price of 1 Meal plus $7. Write the set of equations (define all variables and give labels) for buying Meals and Bananas.




Q17. [3] Solve the equation for F: F = 2(4F+7) + 5




Q18. [4] Find H in terms of N: 13H + 2 = -4N





Q19. [4] Solve the equation for H: -9H + -3 = 0




Q20. [4] 22 kids have computer class either 1 days or 3 days a week. Together they do 48 classes in a week. Write the set of equations (define all variables and give labels) for the number of kids doing each number of classes in a week.