Lesson 13: Equations and Inequalities Review PRACTIVE
I dont know anything. IM SO STUCK CA
presumably the exercises cover things you have studied. What in particular bothers you?
You have three choices:
1. Cheat -- and you learn nothing,
2. Drop out of school -- and you learn nothing.
3. Go back and study your lessons until you understand. You may need to hire a local tutor or check with Jiskha on a few questions or use a good educational website like Math is Fun or Khan Academy. That's the recommended route for students who want to learn.
Don't worry! I'm here to help you. Let's start by reviewing equations and inequalities.
Equations are mathematical statements that show the equality between two quantities. They are typically written with an equal sign (=) and can be solved to find the value of the variable.
For example, let's look at the equation: 2x + 5 = 15. To find the value of x, we need to isolate the variable.
Step 1: Start by trying to get rid of any numbers that are added or subtracted from the variable. In this case, we can subtract 5 from both sides of the equation:
2x + 5 - 5 = 15 - 5
2x = 10
Step 2: Next, try to get rid of any numbers that are multiplied or divided by the variable. In this case, we can divide both sides of the equation by 2:
2x/2 = 10/2
x = 5
So the solution to the equation 2x + 5 = 15 is x = 5.
Inequalities, on the other hand, show a relationship between two quantities that are not equal. They are written using symbols like < (less than), > (greater than), ≤ (less than or equal to), ≥ (greater than or equal to).
For example, let's look at the inequality: 3x - 4 > 10. To solve this inequality, we need to isolate the variable, similar to solving equations.
Step 1: Start by trying to get rid of any numbers that are added or subtracted from the variable. In this case, we can add 4 to both sides of the inequality:
3x - 4 + 4 > 10 + 4
3x > 14
Step 2: Next, try to get rid of any numbers that are multiplied or divided by the variable. In this case, we can divide both sides of the inequality by 3. However, since we are dividing by a positive number, the inequality sign doesn't change:
3x/3 > 14/3
x > 14/3
So the solution to the inequality 3x - 4 > 10 is x > 14/3.
Now, let's practice! If you have any specific equations or inequalities you're struggling with, feel free to ask and I'll guide you through solving them.