Get Algebra Cheat Sheet

Look for key words like “solve,” “simplify,” “factor,” or “reduce" so you know what action to perform. Use the order of operations to solve problems in the proper sequence: Parentheses, Exponents, Multiplication, Division, Addition, Subtraction. Remember that an equation has an equal sign and can be solved.

Golden Rule of Algebra: “Do unto one side of the equal sign as you will do to the other…” **Whatever you do on one side of the equal sign, you MUST do the same exact thing on the other side. If you multiply by -2 on the left side, you have to multiply by -2 on the other.

Algebra Formula a² – b² = (a-b)(a+b) (a+b)² = a² + 2ab + b² (a-b)² = a² – 2ab + b² a² + b² = (a-b)² +2ab. (a+b+c)² = a²+b²+c²+2ab+2ac+2bc. (a-b-c)² = a²+b²+c²-2ab-2ac+2bc. a³-b³ = (a-b) (a² + ab + b²) a³+b³ = (a+b) (a² – ab + b²)

Basic Algebra Formula a2 – b2 = (a – b)(a + b) (a+b)2 = a2 + 2ab + b. ... a2 + b2 = (a – b)2 + 2ab. (a – b)2 = a2 – 2ab + b. ... (a + b + c)2 = a2 + b2 + c2 + 2ab + 2ac + 2bc. (a – b – c)2 = a2 + b2 + c2 – 2ab – 2ac + 2bc. (a + b)3 = a3 + 3a2b + 3ab2 + b. ... (a – b)3 = a3 – 3a2b + 3ab2 – b.

The Basic Laws of Algebra are the commutative law for addition, commutative law for multiplication, associative for addition, associative for multiplication, distributive law and zero laws.

We can remember the order using PEMDAS: Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right).

The cardinal rule of algebra itself is balance. An equation has an equals sign, and whatever is on one side of the equals sign must equal what is on the other side of the equals sign.

Ans. The commutative rule of addition, the commutative rule of multiplication, the associative rule of addition, the associative rule of multiplication, and the distributive property of multiplication make up the fundamental rules of the algebra.

0:35 37:08 Algebra for Beginners | Basics of Algebra - YouTube YouTube Start of suggested clip End of suggested clip 5. We can think of X as just standing in the place for a number what number needs to go there. SoMore5. We can think of X as just standing in the place for a number what number needs to go there. So there's some mystery here we're on the hunt for the number that goes in place of X.