1. The problem is to verify if the given evaluated expressions are correct for the specified variable values. 2. We will check each expression step-by-step by substituting the given values and simplifying. 3. a) $-5x + 12$ for $x = -3$: $$-5(-3) + 12 = 15 + 12 = 27$$ The user wrote 17, but the correct answer is 27. 4. b) $-8 + 20k$ for $k = -4$: $$-8 + 20(-4) = -8 - 80 = -88$$ Correct. 5. c) $7x^2 - 1$ for $x = 3$: $$7(3)^2 - 1 = 7(9) - 1 = 63 - 1 = 62$$ Correct. 6. d) $-3x^2 + 6x - 2$ for $x = 2$: $$-3(2)^2 + 6(2) - 2 = -3(4) + 12 - 2 = -12 + 12 - 2 = -2$$ Correct. 7. e) $\frac{t - 24}{3}$ for $t = 6$: $$\frac{6 - 24}{3} = \frac{-18}{3} = -6$$ Correct. 8. f) $-4(3t - 10)$ for $t = -9$: $$-4(3(-9) - 10) = -4(-27 - 10) = -4(-37) = 148$$ Correct. 9. g) $(7u + 4)^2$ for $u = 1$: $$7(1) + 4 = 7 + 4 = 11$$ $$11^2 = 121$$ Correct. 10. h) $\frac{3}{5}x + 7$ for $x = 10$: $$\frac{3 \times 10}{5} + 7 = 6 + 7 = 13$$ Correct. 11. i) $9 - 8r$ for $r = \frac{2}{3}$: $$9 - 8 \times \frac{2}{3} = 9 - \frac{16}{3} = \frac{27}{3} - \frac{16}{3} = \frac{11}{3}$$ Correct. 12. 7a) $2xy$ for $x = -2$, $y = 3$: $$2(-2)(3) = -4(3) = -12$$ Correct. 13. 7b) $-3a^2 + 4ab - 2b^2$ for $a = 0$, $b = -1$: $$-3(0)^2 + 4(0)(-1) - 2(-1)^2 = 0 + 0 - 2 = -2$$ Correct. 14. 7c) $-4x^2 y z^3$ for $x = 2$, $y = 3$, $z = -1$: $$-4(2)^2 (3) (-1)^3 = -4(4)(3)(-1) = -48(-1) = 48$$ Correct. 15. 7d) $\frac{4q - 3p}{2r}$ for $p = 4$, $q = 2$, $r = -2$: $$\frac{4(2) - 3(4)}{2(-2)} = \frac{8 - 12}{-4} = \frac{-4}{-4} = 1$$ Correct. 16. 8) Balloon height after 10 seconds: $$2 + 3(10) = 2 + 30 = 32$$ Correct. Summary: Only the answer to 6a is incorrect; it should be 27, not 17. All other answers are correct.