Algebra Help Free
Covers Negative Numbers and Operations, Fractions: Simplify and Operate, Solving One-Step and Two-Step Equations and more.
“Algebra Help Free” is a 4-lesson course at Teen level, created with soclever, a personal AI teacher. Each lesson takes a few minutes and ends with a check-in question; finish the curriculum and you can take a certificate test to earn a diploma. Try the first lesson without an account — or make your own course on any topic.
What you'll learn
- Negative Numbers and Operations. Without negative numbers, you can't solve equations that ask "how much do I owe?" or "how far below zero?" Algebra stops cold.
- Fractions: Simplify and Operate. A fraction is just a division problem frozen in time. 3/4 means 3 ÷ 4. That simple fact unlocks everything.
- Solving One-Step and Two-Step Equations. The only rule that matters: whatever you do to one side of an equation, you must do to the other side. That's it. That's how you solve them.
- Multi-Step Equations and Test Strategy. A multi-step equation is a statement with a variable on one or both sides that requires two or more operations to solve. Take 3x + 5 = 2x + 12.
Lesson 1: Negative Numbers and Operations
Without negative numbers, you can't solve equations that ask "how much do I owe?" or "how far below zero?" Algebra stops cold. Once you own them, half of what breaks in algebra suddenly works.
A number line is just a line with zero in the middle, positives to the right, negatives to the left. Moving right means adding; moving left means subtracting. That's the whole mechanism.
Adding and subtracting: 5 + (−3) means start at 5, move left 3 spaces, land on 2. The sign tells you direction. 5 − (−3) flips that: subtracting a negative is the same as adding a positive, so you move right instead. Result: 8.
Multiplying: Two negatives make a positive. One negative and one positive make a negative. Think of it as direction: a negative times a positive points backward, but a negative times a negative reverses that backward direction, so it points forward again. −2 × −3 = 6. −2 × 3 = −6.
Dividing: Same rule. −6 ÷ −2 = 3 (two negatives cancel). −6 ÷ 2 = −3 (one negative stays negative).
The pattern holds: negatives aren't weird once you see them as directions and flips. Every operation has a clear rule, no exceptions.
Questions this course answers
What is a number line?
A number line is just a line with zero in the middle, positives to the right, negatives to the left.
How does multiplying two negative numbers work?
Two negatives make a positive because a negative times a negative reverses that backward direction, so it points forward again.
What is a fraction?
A fraction is just a division problem frozen in time.
How does multiplying fractions work?
Multiplying fractions is the easiest operation because you just multiply top times top and bottom times bottom.
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