Solving Inequalities by Adding or Subtracting Practice — Grade 9 math

Lesson 66: Solving Inequalities by Adding or Subtracting — Practice Questions

1. Solve the inequality for the variable y: y - 8 < -3. The solution is y < ___.
2. What is the solution to the inequality k + 7 ≥ 1?
- A. k ≥ -6
- B. k ≤ -6
- C. k ≥ 8
- D. k ≤ 8
3. To solve the inequality n - 15 > -4, what is the correct first step using the properties of inequality?
- A. Add 15 to both sides.
- B. Subtract 15 from both sides.
- C. Add 4 to both sides.
- D. Flip the inequality sign.
4. Solve the inequality x + \frac{1}{2} ≤ 4. The solution is x ≤ ___.
5. Solve the inequality z + 1.5 < 5. The solution is z < ___.
6. Use the Addition Property of Inequality to solve for $k$. If $k - 9 > -2$, then $k >$ ___.
7. Which inequality represents the solution to $m - 3 \leq -10$?
- A. $m \leq -13$
- B. $m \geq -7$
- C. $m \leq -7$
- D. $m \geq 13$
8. Solve for the variable $y$: $y - 14 \geq 5$. The solution is $y \geq$ ___.
9. According to the Addition Property of Inequality, if $a > b$, which of the following statements must be true?
- A. $a - 6 < b - 6$
- B. $a + 3 < b + 3$
- C. $a - 10 > b - 10$
- D. $a > b + 1$
10. Solve the inequality for $x$: $x - \frac{1}{4} < 2$. The solution is $x <$ ___.