Q1. [4] In a field there are some green warriors and some yellow warriors. The green warriors have 2 weapons each and the yellow warriors have 9 weapons each. We want to know about the total number of weapons. Write an equation describing this situation. Define all variables used. |
Q2. [4] On a certain running track 2 kids run at different speeds, but they keep the same speed all the way. Jane finishes 1 lap 9 seconds faster than Sally. Jane finishes 3 laps 7 seconds slower than Sally finishes 1 lap. Write the set of equations (define all variables and give labels) for the running times of Jane and Sally. |
Q3. [3] Solve the equation for N: |
Q4. [4] 156 kids went on a field trip. Some kids went in buses (that take 34 kids) and some went in cars (that take 4 kids). There were 9 vehicles altogether. Write the set of equations (define all variables and give labels) for the numbers of cars and buses. |
Q5. [4] Kingston has 2 red shells and 2 blue shells. Red Shells are worth 4 times more than blue shells. All the shells together are worth $40. Write the set of equations (define all variables and give labels) for the value of the shells. |
Q6. [4] Harry is 9 inches taller than Kim. Kim is 7 inches shorter than Tom. Standing on top of each other the kids can reach 117 inches. Write the set of equations (define all variables and give labels) for the kid's height. |
Q7. [4] 23 kids have computer class either 5 days or 2 days a week. Together they do 94 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. |
Q8. [3] Solve the equation for E: |
Q9. [4] There are 120 blocks on a shelf. There are 40 more orange blocks than red blocks. Write the set of equations (define all variables and give labels) for the numbers of each color block. |
Q10. [4] There are 100 blocks on a shelf. There are 50 more purple blocks than orange blocks. Write the set of equations (define all variables and give labels) for the numbers of each color block. |
Q11. [3] Find A in terms of E: -8A = -4E + -14 |
Q12. [4] Find K in terms of Q: -5Q = 3K + -5 |
Q13. [4] Farmer Owen has 29 animals. Together the animals have 88 legs. Write the set of equations (define all variables and give labels) for the number of chickens and goats. |
Q14. [3] There are 49 blocks on a shelf. There are 6 times less red blocks than blue blocks. Write the set of equations (define all variables and give labels) for the numbers of each color block. |
Q15. [6] Solve the equation for R: 14R + 14 = 8R + 6 |
Q16. [6] Find N in terms of R: 6N + 5 = 14R + -10 + 2N |
Q17. [6] Find V in terms of F: 9V + 3 = -2(11F + -9) |
Q18. [4] Sally has some toys. Ali has 5 times more toys than Sally. Together, both kids have 48 toys. Write the set of equations (define all variables and give labels) for the number of toys the kids have. |
Q19. [5] Solve the equation for B: |
Q20. [4] Marcos has 6 red shells and 4 blue shells. Red Shells are worth 5 times more than blue shells. All the shells together are worth $102. Write the set of equations (define all variables and give labels) for the value of the shells. |