Which statement correctly determines if $k=4$ is a solution to the inequality $20 - 3k \geq 8$?

It is a solution because $8 \geq 8$ is true.

It is not a solution because $8 \geq 8$ is false.

It is a solution because $17 \geq 8$ is true.

It is not a solution because $12 \geq 8$ is false.

Is $n = 10$ a solution to the inequality $2n + 5 < 25$?

Yes, because $25 < 25$ is true.

No, because $25 < 25$ is false.

Yes, because $20 < 25$ is true.

No, because $25$ is not a solution.

Writing and Graphing Inequalities Practice — Grade 7 math

Section 11.1: Writing and Graphing Inequalities — Practice Questions

1. Is $x = 5$ a solution to the inequality $3x - 8 > 7$?
- A. Yes, because $7 > 7$ is true.
- B. No, because $7 > 7$ is false.
- C. Yes, because $15 > 7$ is true.
- D. No, because $5 > 7$ is false.
2. To check if $y = -3$ is a solution to $4y + 10 \leq -2$, you substitute to get $4(-3) + 10 \leq -2$. This simplifies to the statement ___ $\leq -2$.
3. Which statement correctly determines if $k=4$ is a solution to the inequality $20 - 3k \geq 8$?
- A. It is a solution because $8 \geq 8$ is true.
- B. It is not a solution because $8 \geq 8$ is false.
- C. It is a solution because $17 \geq 8$ is true.
- D. It is not a solution because $12 \geq 8$ is false.
4. When checking if $p=-2$ is a solution to $-5p + 1 > 12$, you get the statement $11 > 12$. Is this statement True or False? ___
5. Is $n = 10$ a solution to the inequality $2n + 5 < 25$?
- A. Yes, because $25 < 25$ is true.
- B. No, because $25 < 25$ is false.
- C. Yes, because $20 < 25$ is true.
- D. No, because $25$ is not a solution.
6. To get a student discount, your age, $a$, must be less than 25. Which inequality correctly represents this condition?
- A. $a > 25$
- B. $a < 25$
- C. $a \geq 25$
- D. $a \leq 25$
7. A video game is recommended for players aged 13 or older. If $p$ represents a player's age, which inequality shows this recommendation?
- A. $p > 13$
- B. $p < 13$
- C. $p \geq 13$
- D. $p \leq 13$
8. The temperature, $t$, inside a freezer is kept below 0 degrees Celsius. Which inequality describes the freezer's temperature?
- A. $t < 0$
- B. $t > 0$
- C. $t \leq 0$
- D. $t \geq 0$