Two-step equations and inequalities Knowledge-Based Practice

Questions

1. 1.

   What is the greatest integer that satisfies the inequality $-4m + 11 > 35$?

   • A) -5
   • B) -6
   • C) -8
   • D) -7
2. 2.

   What is the solution to the inequality $-7 \ge 5 - 3x$?

   • A) $x \le 4$
   • B) $x \ge 4$
   • C) $x \ge -4$
   • D) $x \le -4$
3. 3.

   What is the solution to the inequality $\frac{2}{3}x + 9 \le 5$?

   • A) $x \ge -6$
   • B) $x \le 6$
   • C) $x \ge 6$
   • D) $x \le -6$
4. 4.

   What is the solution to the inequality $-8(x - 3) \le 56$?

   • A) $x \le -4$
   • B) $x \le 10$
   • C) $x \ge -4$
   • D) $x \ge 10$
5. 5.

   What is the value of $x$ that satisfies the equation $\frac{2}{5}x - 9 = 3$?

   • A) $x = -15$
   • B) $x = 12$
   • C) $x = 60$
   • D) $x = 30$
6. 6.

   What is the solution to the inequality $7x + 45 < 17$?

   • A) $x < -4$
   • B) $x > -4$
   • C) $x < 4$
   • D) $x > 4$
7. 7.

   What is the value of $x$ that satisfies the equation $13 = 5 - \frac{x}{2}$?

   • A) $x = -16$
   • B) $x = 16$
   • C) $x = -36$
   • D) $x = 36$
8. 8.

   What is the solution to the inequality $15 - 8x \le -41$?

   • A) $x \le 7$
   • B) $x \ge -7$
   • C) $x \ge 7$
   • D) $x \le -7$
9. 9.

   What is the solution to the inequality $\frac{x + 14}{-3} \ge 5$?

   • A) $x \le -29$
   • B) $x \ge -29$
   • C) $x \le -1$
   • D) $x \ge -1$
10. 10.

    What is the value of $x$ that satisfies the equation $4x - 18 = -34$?

    • A) -13
    • B) -4
    • C) 4
    • D) 13
11. 11.

    What is the value of $y$ that satisfies the equation $\frac{y + 8}{5} = -3$?

    • A) $y = -7$
    • B) $y = -23$
    • C) $y = -11$
    • D) $y = 7$
12. 12.

    What is the solution to the inequality $-\frac{x}{5} + 6 < 2$?

    • A) $x < 20$
    • B) $x > 20$
    • C) $x > -20$
    • D) $x < -20$
13. 13.

    What is the value of $x$ that satisfies the equation $\frac{x}{4} + 9 = 3$?

    • A) $x = 48$
    • B) $x = -6$
    • C) $x = 24$
    • D) $x = -24$
14. 14.

    What is the solution to the inequality $-4x + 9 \ge 33$?

    • A) $x \le -6$
    • B) $x \ge -6$
    • C) $x \le 6$
    • D) $x \ge -10$

Answers and step-by-step solutions appear after you finish the test.