Algebra To The Max!
Level 7, 2025-07-05
Q1. [4] Jane has some toys. Harry has 2 times more toys than Jane. Together, both kids have 15 toys. Write the set of equations (define all variables and give labels) for the number of toys the kids have.





Q2. [4] Farmer Mongoose has 19 animals. Together the animals have 56 legs. Write the set of equations (define all variables and give labels) for the number of chickens and goats.







Q3. [4] Farmer Ali has 24 chickens and goats. Together they have 62 legs. Write the set of equations (define all variables and give labels) for the number of chickens and goats.





Q4. [4] Find B in terms of F: 10B + -7 = -1F





Q5. [4] Minnie has some toys. Jackson has 4 times more toys than Minnie. Together, both kids have 5 toys. Write the set of equations (define all variables and give labels) for the number of toys the kids have.




Q6. [5] Find F in terms of K: -8K + 13 = -4F + 14





Q7. [4] In a box there are 6 sided dice and 4 sided dice, but we do not know how many of each. We are interested in many pips there are altogether.
Write an equation describing this situation. Define all variables used.










Q8. [4] Farmer Swishy has animals that altogether have 96 eyes and 136 legs. Write the set of equations (define all variables and give labels) for the number of chickens and goats.





Q9. [4] Ali has 8 Roman coins and Mongoose has 9 Greek coins. All the coins together are worth $128. Ali's coins are worth $16 less than Mongoose's. Write the set of equations (define all variables and give labels) for the value of the coins.





Q10. [4] 20 kids have computer class either 5 days or 1 days a week. Together they do 44 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.




Q11. [4] Sara has 8 Roman coins and Elroy has 2 Greek coins. All the coins together are worth $54. Sara's coins are worth $42 more than Elroy's. Write the set of equations (define all variables and give labels) for the value of the coins.





Q12. [4] Some pink items cost $4 each. You want to know how much money you need to buy any certain amount of them.
Write an equation describing this situation. Define all variables used.











Q13. [5] Solve the equation for R: ① R = -2(3V+5) + 7 ② 5V=-5





Q14. [4] In a clover field there are 6 times more 3 leaf clovers than 4 leaf clovers. There are 286 leaves in the field. Write the set of equations (define all variables and give labels) for the numbers of 3 and 4 leaf clovers.










Q15. [4] There are 99 blocks on a shelf. There are 21 more pink blocks than red blocks. Write the set of equations (define all variables and give labels) for the numbers of each color block.





Q16. [4] 184 kids went on a field trip. Some kids went in buses (that take 38 kids) and some went in cars (that take 4 kids). There were 12 vehicles altogether. Write the set of equations (define all variables and give labels) for the numbers of cars and buses.





Q17. [4] You spent $88 on shirts. Fancy shirts cost $16 and plain shirts cost $8. You purchased a total of 7 shirts. Write the set of equations (define all variables and give labels) for the numbers of plain and fancy shirts.




Q18. [3] 33 cows are separated in 2 fields. There are 21 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.




Q19. [4] 27 kids have computer class either 4 days or 1 days a week. Together they do 75 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.





Q20. [4] On a certain running track 2 kids run at different speeds, but they keep the same speed all the way. Jill finishes 1 lap 7 seconds faster than Minnie. Jill finishes 2 laps 4 seconds slower than Minnie finishes 1 lap. Write the set of equations (define all variables and give labels) for the running times of Jill and Minnie.