Two-step equations and inequalities Knowledge-Based Download PDF

Questions

1. 1.

   What is the sum of all negative integers that satisfy the inequality $13 - 3x \le 28$?

   • A) $-10$
   • B) $-12$
   • C) $-15$
   • D) $-21$
2. 2.

   What is the smallest integer that satisfies the inequality $-4x + 11 < -9$?

   • A) 4
   • B) 5
   • C) -5
   • D) 6
3. 3.

   If $x = -2$ is the solution to the equation $5x - 4b = 14$, what is the value of $b$?

   • A) $-1$
   • B) $-6$
   • C) $1$
   • D) $6$
4. 4.

   If $5y - 13 = -38$, what is the value of $2y + 7$?

   • A) $-3$
   • B) $-5$
   • C) $17$
   • D) $5$
5. 5.

   How many positive integers satisfy the inequality $7 - 4x \ge -25$?

   • A) 7
   • B) 8
   • C) 9
   • D) Infinitely many
6. 6.

   What is the solution to the equation $\frac{x + 11}{-4} = 6$?

   • A) $x = -35$
   • B) $x = -13$
   • C) $x = 13$
   • D) $x = 35$
7. 7.

   What is the solution to the equation $-6(x - 9) = 78$?

   • A) $x = 22$
   • B) $x = -22$
   • C) $x = -4$
   • D) $x = 4$
8. 8.

   What is the greatest integer that satisfies the inequality $11 - 3x > -4$?

   • A) 4
   • B) 5
   • C) 6
   • D) 3
9. 9.

   What is the solution to the equation $-\frac{4}{5}x + 9 = -11$?

   • A) $x = -25$
   • B) $x = 25$
   • C) $x = 16$
   • D) $x = -16$
10. 10.

    What is the solution to the equation $3.5x + 14.7 = 4.2$?

    • A) $x = -3$
    • B) $x = 3$
    • C) $x = 5.4$
    • D) $x = -5.4$
11. 11.

    What is the solution to the inequality $29 < -6m - 7$?

    • A) $m < -6$
    • B) $m > -6$
    • C) $m < 6$
    • D) $m > 6$
12. 12.

    What is the solution to the inequality $\frac{x}{-6} - 8 > -5$?

    • A) $x < -18$
    • B) $x > -18$
    • C) $x < 78$
    • D) $x > 78$
13. 13.

    What is the solution to the inequality $-2.4x + 7.2 < 14.4$?

    • A) $x < -3$
    • B) $x > 3$
    • C) $x > -3$
    • D) $x < 3$
14. 14.

    What is the solution to the inequality $-4(x - 5) \le 36$?

    • A) $x \le -4$
    • B) $x \ge -4$
    • C) $x \ge -14$
    • D) $x \le -14$
15. 15.

    What is the solution to the inequality $14 - \frac{3}{4}x \ge 2$?

    • A) $x \ge 16$
    • B) $x \le -16$
    • C) $x \le 16$
    • D) $x \ge -16$
16. 16.

    What is the solution to the equation $18 - 5x = 48$?

    • A) $x = 6$
    • B) $x = -6$
    • C) $x = -13.2$
    • D) $x = 13.2$
17. 17.

    What is the solution to the inequality $\frac{w + 8}{-2} > 3$?

    • A) $w > -14$
    • B) $w < -14$
    • C) $w < 2$
    • D) $w > 2$
18. 18.

    What is the solution to the inequality $\frac{2}{3}x - 5 > 7$?

    • A) $x < 18$
    • B) $x > 8$
    • C) $x < 8$
    • D) $x > 18$
19. 19.

    What is the solution to the equation $\frac{y}{3} + 11 = 5$?

    • A) $y = 48$
    • B) $y = 18$
    • C) $y = -2$
    • D) $y = -18$
20. 20.

    What is the solution to the inequality $-3x + 7 \le 22$?

    • A) $x \le -5$
    • B) $x \ge 5$
    • C) $x \ge -5$
    • D) $x \le 5$