Q1. [4] Solve the equation for B: 8B + 8 > -5B + 1

Q2. [4] Solve the equation for A: -3A + -6 < 5A + -8

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

Q4. [4] Find P in terms of V: 16V + 8 = 16P

Q5. [4] Bananas cost $4 more than Drinks. We can get 2 Drinks for the price of 1 Banana plus $7. Write the set of equations (define all variables and give labels) for buying Bananas and Drinks.

Q6. [3] Solve the equation for V: V = -4(2V+1) + 4

Q7. [3] There are 54 blocks on a shelf. There are 5 times less orange blocks than green blocks. Write the set of equations (define all variables and give labels) for the numbers of each color block.

Q8. [3] Solve the equation for Q: Q = 6(8Q+6) + 2

Q9. [6] Find Y in terms of Q: 12Y + 5 = -8(-16Q + 2)

Q10. [3] How many solutions does this equation have for X? Show all working.

5X + 8 = 6X + 7 + 2

Q11. [4] On a certain running track 2 kids run at different speeds, but they keep the same speed all the way. Marcos finishes 1 lap 4 seconds faster than Tom. Marcos finishes 2 laps 10 seconds slower than Tom finishes 1 lap. Write the set of equations (define all variables and give labels) for the running times of Marcos and Tom.

Q12. [3] How many solutions does this equation have for X? Show all working.

8X + 2 + 1 - X = 8X + 1

Q13. [5] Find V in terms of M: -12(V - 3) = -15(M + -9)

Q14. [6] Solve the equation for E: -14E + 2 = 13E + 16

Q15. [4] Alexander is 4 inches taller than Philius. Philius is 7 inches shorter than Henry. Standing on top of each other the kids can reach 120 inches. Write the set of equations (define all variables and give labels) for the kid's height.

Q16. [6] Solve the equation for A: -2A + 2 = -9A + -13

Q17. [4] You have 3 orange marbles and 4 green marbles. orange marbles are worth 7 times more than green marbles. You want to know how much your marbles are worth together.
Write an equation describing this situation. Define all variables used.

Q18. [4] 108 kids went on a field trip. Some kids went in buses (that take 33 kids) and some went in cars (that take 6 kids). There were 9 vehicles altogether. Write the set of equations (define all variables and give labels) for the numbers of cars and buses.

Q19. [4] Find K in terms of R: 5R + 16 = -15K

Q20. [5] What number is twice the average of itself and 7? Use algebra and show all working to find the answer.