Math Mastery for Grade 8

Commutative Property of Addition

• @@a + b = b + a@@

• @@a - b = b - a@@

• @@a + b = a @@

• @@a * b = b * a@@

Definition of a Rational Number

• A number that can be expressed as @@\frac{a}{b}@@, where @@a@@ and @@b@@ are integers and @@b \neq 0@@.

• A number that cannot be expressed as a fraction.

• A number that is always an integer.

• A number that can be expressed as a decimal but not as a fraction.

What is the Distributive Property?

• @@a(b + c) = ab + ac@@

• @@a(b + c) = a + b + c@@

• @@a(b + c) = ab + ac + bc@@

• @@a(b + c) = ab - ac@@

Definition of a Prime Number

• A number greater than 1 with no divisors other than 1 and itself.

• A number that is divisible by 2 only.

• A number that has more than two divisors.

• A number that is less than 1.

Definition of a Quadratic Equation

• equation of the form @@ax^2 + bx + c = 0@@

• equation of the form @@ax^2 - bx + c = 0@@

• equation of the form @@a + b + c = 0@@

• equation of the form @@ax^2 + b = 0@@

Perimeter of a Rectangle

• @@2(l + w)@@

• @@l + w@@

• @@2lw@@

• @@2(l - w)@@

Definition of a Factor

• A number that divides another number without leaving a remainder.

• A number that is multiplied by another number to get a product.

• A number that is added to another number to get a sum.

• A number that is subtracted from another number to get a difference.

Pythagorean Theorem

• @@a^2 + b^2 = c^2@@

• @@a^2 - b^2 = c^2@@

• @@a^2 + c^2 = b^2@@

• @@a^2 + b^2 + c^2 = 0@@

Area of a Circle

• @@rac{1}{2} imes ext{base} imes ext{height}@@

• @@rac{4}{3} imes ext{radius}^3@@

• @@rac{1}{2} imes ext{diameter}^2 imes ext{height}@@

• @@ ext{Area} = ext{π} r^2@@

Slope Formula

• @@rac{y_2 - y_1}{x_2 - x_1}@@

• @@rac{y_1 - y_2}{x_1 - x_2}@@

• @@rac{x_2 - x_1}{y_2 - y_1}@@

• @@rac{y_1 + y_2}{x_1 + x_2}@@