Multiple Choice

1. Simplify the expression: $4(2x + 3) + 5x$.

   $13x + 3$

   $13x + 7$

   $13x + 12$

   $8x + 12$

2. Simplify the expression: $7y - 2(3y - 5)$.

   $y + 5$

   $y + 10$

   $13y - 10$

   $y - 10$

3. Simplify the expression: $5a + 3b - (2a - b)$.

   $3a + 3b$

   $3a + 4b$

   $3a + 2b$

   $7a + 4b$

4. Simplify the expression: $-3(x - 2y + 4)$.

   $-3x + 2y + 4$

   $-3x - 6y + 12$

   $-3x + 6y - 12$

   $3x - 6y + 12$

5. Simplify the expression: $2(m + 4) - 3(m - 1)$.

   $-m + 5$

   $m + 7$

   $5m + 5$

   $-m + 11$

6. Simplify the expression: $4x + 6y - 2(x + 3y)$.

   $2x + 12y$

   $2x$

   $2x - 12y$

   $6x + 9y$

7. Simplify the expression: $15 - 5(2p + 3)$.

   $10p + 12$

   $-10p$

   $10p$

   $-10p + 30$

8. Simplify the expression: $6a - (a + 4b) + 7b$.

   $7a + 11b$

   $5a + 3b$

   $5a + 11b$

   $5a - 3b$

9. Simplify the expression: $10(3k - 1) + 4k - 5$.

   $34k - 5$

   $34k - 15$

   $30k - 15$

   $34k + 15$

10. Simplify the expression: $5(a + 2b) - 8b$.

    $5a - 8b$

    $5a - 6b$

    $5a + 2b$

    $5a + 18b$

11. Simplify the expression: $\frac{1}{2}(4x + 10) - x$.

    $3x + 5$

    $x + 10$

    $x + 5$

    $x - 5$

12. Simplify the expression: $-4(2m - n + 3)$.

    $-8m + 4n - 12$

    $-8m - 4n - 12$

    $-8m - n + 3$

    $-8m + 4n + 12$

13. Simplify the expression: $-5x - (-2x + 9)$.

    $-7x - 9$

    $-3x + 9$

    $-7x + 9$

    $-3x - 9$

14. Simplify the expression: $3x^2 + 2x - 4(x - x^2)$.

    $7x^2 + 2x$

    $7x^2 + 6x$

    $-x^2 - 2x$

    $7x^2 - 2x$

15. Simplify the expression: $8 + 3(2y - 5) + y$.

    $6y - 7$

    $7y - 15$

    $7y + 13$

    $7y - 7$

16. Simplify the expression: $6(a + 3) + 2a - 20$.

    $8a + 2$

    $8a - 2$

    $8a - 38$

    $4a - 2$

17. Simplify the expression: $9k - 5(k - 2) - 4$.

    $14k + 6$

    $4k - 14$

    $4k + 6$

    $4k + 14$

18. Simplify the expression: $3(p - 2q) + 5q - p$.

    $2p - q$

    $4p - 7q$

    $2p - 11q$

    $4p - 6q$

19. Simplify the expression: $-(7x + 3) + 10x - 1$.

    $-17x - 4$

    $3x - 2$

    $3x - 4$

    $3x + 4$

20. Simplify the expression: $50 - 10(4 - 2r)$.

    $20r + 10$

    $10 - 20r$

    $60 - 20r$

    $20r + 46$

21. Simplify the expression: $3(2a + 1) + 4(a - 2)$.

    $6a - 5$

    $10a - 5$

    $7a - 5$

    $10a + 5$

22. Simplify the expression: $(8m + 5n) - (3m - 2n)$.

    $5m - 3n$

    $11m + 7n$

    $5m + 7n$

    $5m + 3n$

23. Simplify the expression: $7x + 2(5 - 3x) - 10$.

    $x + 20$

    $13x + 20$

    $x$

    $13x$

24. Simplify the expression: $12a - [4(2a - b) + 3b]$.

    $20a - 7b$

    $4a + b$

    $4a + 7b$

    $4a - b$

25. Simplify the expression: $-5(a + 2b) + 3a + 12b$.

    $-2a + 2b$

    $-8a + 22b$

    $-2a + 22b$

    $2a - 2b$

26. Solve the equation for $x$: $-3(x+5) = 6$.

    $x = -1$

    $x = -7$

    $x = 7$

    $x = -3$

27. Find the value of $y$ in the equation: $2(4y - 1) + 5 = 19$.

    $y = 1$

    $y = 2$

    $y = 3$

    $y = 4$

28. Determine the value of $k$ that satisfies the equation: $10 - (k + 4) = 1$.

    $k = 15$

    $k = 13$

    $k = 3$

    $k = 5$

29. What is the solution for $m$ in the equation $12 = -4(2m - 5)$?

    $m = -1$

    $m = -8$

    $m = 4$

    $m = 1$

30. Solve for $t$: $7t - 2(t + 6) = 3$.

    $t = 3$

    $t = -3$

    $t = 5$

    $t = 2$

31. Solve the equation for $w$: $-6(w - 3) = -18$.

    $w = 6$

    $w = 3$

    $w = 0$

    $w = -6$

32. Find the value of $x$ in the equation: $9x - 5(x - 2) = 30$.

    $x = -5$

    $x = 5$

    $x = 10$

    $x = 7$

33. Solve for $p$: $4(p + 3) + 7p = -10$.

    $p = -2$

    $p = -1$

    $p = -4$

    $p = 2$

34. What is the solution for $d$ in the equation $-2(4d + 1) - 8 = 22$?

    $d = 4$

    $d = -4$

    $d = -2.5$

    $d = -5$

35. Solve for the variable $a$: $17 = 5 - 2(a - 6)$.

    $a = -2$

    $a = 0$

    $a = 1$

    $a = 24$