Lesson 9
Solving One-step Inequalities Quiz Part 1
To solve for x, we can start by adding 3 to both sides of the equation:
3x - 3 + 3 = -18 + 3
3x = -15
Next, we can divide both sides by 3 to isolate x:
x = -5
Therefore, the solution for the equation 3x - 3 = -18 is x = -5.
To solve for r, we can start by adding 6 to both sides of the equation:
r / 2 - 6 + 6 = 14 + 6
r / 2 = 20
Next, we can multiply both sides by 2 to isolate r:
r = 40
Therefore, the solution for the equation r / 2 - 6 = 14 is r = 40.
1) Solve the inequality: 4x - 7 < 17
We can start by adding 7 to both sides of the inequality:
4x - 7 + 7 < 17 + 7
4x < 24
Finally, we can divide both sides by 4 to isolate x:
x < 6
The solution is x < 6.
2) Solve the inequality: -3y + 2 > 14
We can start by subtracting 2 from both sides of the inequality:
-3y + 2 - 2 > 14 - 2
-3y > 12
Next, we can divide both sides by -3. However, remember that when we divide or multiply an inequality by a negative number, we need to flip the inequality sign:
y < -4
The solution is y < -4.
3) Solve the inequality: 5z + 11 <= 26
We can start by subtracting 11 from both sides of the inequality:
5z + 11 - 11 <= 26 - 11
5z <= 15
Next, we can divide both sides by 5 to isolate z:
z <= 3
The solution is z <= 3.
4) Solve the inequality: 2x + 5 > -1
We can start by subtracting 5 from both sides of the inequality:
2x + 5 - 5 > -1 - 5
2x > -6
Finally, we can divide both sides by 2 to isolate x:
x > -3
The solution is x > -3.
5) Solve the inequality: 3y - 9 >= 12
We can start by adding 9 to both sides of the inequality:
3y - 9 + 9 >= 12 + 9
3y >= 21
Next, we can divide both sides by 3 to isolate y:
y >= 7
The solution is y >= 7.
3x - 3 = - 18
r / 2 - 6 = 14
12 + 4m = 24
To solve for m, we can start by subtracting 12 from both sides of the equation:
12 - 12 + 4m = 24 - 12
4m = 12
Next, we can divide both sides by 4 to isolate m:
m = 3
Therefore, the solution for the equation 12 + 4m = 24 is m = 3.
d - 6 > -4
To solve for d, we can start by adding 6 to both sides of the inequality:
d - 6 + 6 > -4 + 6
d > 2
Therefore, the solution for the inequality d - 6 > -4 is d > 2.
To solve one-step inequalities, you generally follow the same steps as solving one-step equations. The difference is that when you multiply or divide by a negative number, the inequality symbol flips.
Now, since you have mentioned a quiz, I assume you have a specific question or inequality that you need help with. Please provide the inequality, and I'll guide you through the solution step by step.