1. What is the value of $x$ if $3x + 6 = 15$?
2. If $4y - 7 = 2y + 9$, then $y = ?$
3. Given $K = \frac{1}{2}mv^2$, which expression equals $v$ (for positive $m$, $v$, $K$)?
4. What is the solution to the equation $2x - 3 = x + 7$?
5. What is the solution to the equation $2x + 4 = 12$?
6. A savings account balance changes by the same amount each week. If the relationship is $x - 9 = 4$, solve for $x$.
7. A store marks up an item after adding a fixed fee. If $3(x + 4) = 27$, solve for $x$.
8. A club collects dues. The total collected from $x$ members is modeled by $2(x + 7) = 30$. If $2(x + 7) = 30$, what is $x$?
9. Two friends compare their savings. One has $3x + 2$ dollars and the other has $x + 14$ dollars. If they have the same amount, solve for $x$ in $3x + 2 = x + 14$.
10. What is the solution to the equation $2x + 5 = 13$?
11. What is the solution to the equation $6x + 5 = 2x + 21$?
12. A music subscription discount is modeled by $5x - 10 = 2x + 8$. Which value of $x$ satisfies the equation?
13. A taxi ride costs $2$ dollars per mile plus a $5$-dollar base fee. If the total cost is $\$19$, solve for $x$ in $2x + 5 = 19$.
14. Solve for $x$: $5 - 2x = 17$.
15. A temperature conversion is being simplified. If $5x + 2 = 3x + 18$, what is the value of $x$?
16. A store records profit using the equation $5x - 7 = 18$, where $x$ is the number of items sold in a small batch. Solve for $x$.
17. A phone plan includes a base charge and an extra fee. If the total is modeled by $4x - 7 = 25$, what is the value of $x$?
18. What is the solution to the equation $4x + 7 = 2x - 9$?
19. A class collects canned goods. The total is modeled by $x + 14 = 3x - 2$. What is the solution to the equation?
20. Solve for $x$: $2(x - 5) = 10$
21. If $3x - 7 = 4x + 2$, then $x = $?
22. If $3(x + 4) = 24$, what is $x$?
23. What is the value of $x$ if $3(x + 2) = 15$?
24. A contractor calculates materials with $4(x + 2) = 32$. Which value of $x$ satisfies $4(x + 2) = 32$?
25. A movie theater sells tickets. The equation $2x + 11 = x + 19$ models the situation. Solve for $x$.
26. A gym charges a one-time signup fee plus a monthly cost. If the total after 4 months is modeled by the equation $3x + 8 = 20$, what is the value of $x$?
27. If $4x + 8 = 2x + 14$, what is $x$?
28. Solve for $x$: $12x + 4 = 8x + 28$
29. A taxi fare is modeled by $7x = 56$, where $x$ is the number of miles traveled. What is the solution to the equation?
30. A student buys a notebook that costs the same amount each time. If the total cost for 3 notebooks is represented by the equation $3x = 21$, what is the value of $x$?
31. A student tracks points earned and lost in a game. If $9 - 2x = 1$, what is the value of $x$?
32. A bill is split with a discount applied first. If $5(x + 1) - 10 = 20$, solve for $x$.
33. A store offers a bundle deal. If the bundle cost is described by $2(x + 3) = 18$, what is the value of $x$?
34. A shipment is packed into identical boxes. If the total number of items is given by $6x = 54$, what is the value of $x$?
35. A student balances points earned and deducted with the equation $4x + 5 = 2x + 17$. Which value of $x$ satisfies the equation?
36. Which value of $x$ satisfies $6x + 2 = 20$?
37. Which value of $x$ satisfies $2x + 3 = 11$?
38. What is the value of $x$ if $2x + 5 = 13$?
39. Which value of $x$ satisfies $5x - 7 = 18$?
40. Solve for $x$: $2x - 4 = 10$
41. If $4x + 1 = 9$, what is $x$?
42. Solve for $x$: $2(x + 6) = 20$.
43. If $\,6(x + 2) - 3 = 21\,$, what is $x$?
44. Which value of $x$ satisfies the equation $3x + 4 = x + 18$?
45. If $7x = -56$, what is $x$?
46. Two different payment options match at a certain number of items. If $7x + 1 = 5x + 17$, solve for $x$.
47. A hiker’s elevation changes at a constant rate. If $2x - 3 = x + 9$, what is the value of $x$?
48. A recipe is adjusted by scaling ingredients. If $3(x - 2) = 21$, solve for $x$.
49. If $3x - 4y = 12$, which of the following expressions represents $y$ in terms of $x$?
50. What is the value of $x$ if $5x + 3 = 2x + 12$?
51. A store sells a bundle of items. The cost is modeled by $4x - 6 = 18$. Which value of $x$ satisfies $4x - 6 = 18$?
52. Solve for $x$: $8x - 6 = 2(x + 3)$
53. A savings account balance change is modeled by $3x - 5 = -20$. Solve for $x$.
54. A bookstore stacks books with the relationship $7x + 3 = 52$. Solve for $x$.
55. If $3x - 7 = 4x + 2$, then $x = $?