Q1. [4] In a meal salt and sugar are added in the ratio 6:1. Sugar costs 6 times more than salt. One lot of sugar costs $S. You are interested in how much the meal costs for any amount of salt used.
Write an equation describing this situation. Define all variables used.

Q2. [4] Jack has 7 red shells and 6 blue shells. Red Shells are worth 3 times more than blue shells. All the shells together are worth $54. Write the set of equations (define all variables and give labels) for the value of the shells.

Q3. [5] Find H in terms of R: -11R + 3 = -3H + 7

Q4. [4] You spent $80 on shirts. Fancy shirts cost $10 and plain shirts cost $5. You purchased a total of 9 shirts. Write the set of equations (define all variables and give labels) for the numbers of plain and fancy shirts.

Q5. [3] 34 cows are separated in 2 fields. There are 8 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.

Q6. [4] Solve the equation for B: 9B + -10 = -12

Q7. [4] In a drawer there are a bunch of coins, some worth 10 cents and some worth 5 cents. We are interested in the total value of the coins.
Write an equation describing this situation. Define all variables used.

Q8. [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.

Q9. [4] There are 181 blocks on a shelf. There are 65 more pink blocks than red blocks. Write the set of equations (define all variables and give labels) for the numbers of each color block.

Q10. [4] 23 kids have computer class either 3 days or 2 days a week. Together they do 56 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] Henry has some toys. Flapper has 4 times more toys than Henry. Together, both kids have 35 toys. Write the set of equations (define all variables and give labels) for the number of toys the kids have.

Q12. [3] Solve the equation for F: F = 2(2F+4) + 2

Q13. [4] Farmer Kathryn has 47 chickens and goats. Together they have 148 legs. Write the set of equations (define all variables and give labels) for the number of chickens and goats.

Q14. [6] Solve the equation for M: -6M + 14 = 14M + -2

Q15. [4] On a certain running track 2 kids run at different speeds, but they keep the same speed all the way. Swishy finishes 1 lap 10 seconds faster than Marcos. Swishy finishes 3 laps 5 seconds slower than Marcos finishes 1 lap. Write the set of equations (define all variables and give labels) for the running times of Swishy and Marcos.

Q16. [4] Find F in terms of N: -8F + -4 = 7N

Q17. [4] Find Q in terms of N: 12Q + 4 = 10N

Q18. [4] In a barn there are some number of goats and chickens. The vet wants to know how legs there are.
Write an equation describing this situation. Define all variables used.

Q19. [4] On a certain running track 2 kids run at different speeds, but they keep the same speed all the way. Philius finishes 1 lap 10 seconds faster than Jill. Philius finishes 2 laps 6 seconds slower than Jill finishes 1 lap. Write the set of equations (define all variables and give labels) for the running times of Philius and Jill.

Q20. [4] In a box there are some 5-sided dice and some 7-sided dice. We are interested in many sides there are altogether.
Write an equation describing this situation. Define all variables used.