Algebra ABC Book

y=mx+b

A is for Algebra. This is the name of the subject, and the definition of Algebra is, "The part of mathematics in which letters and other symbols are used to represent numbers and quantities in formulae and equations."

B is for "b" in the equation y=mx+b, the slope intercept form of a linear equation. The "b" represents the y-intercept.

C is for constant. A constant is a number that has no variable. In the equation 3x+10, the constant is 10.

D is for Discriminant. The Discriminant of a polynomial gives information about the roots of a polynomial. The formula to find the discriminant is b² − 4ac. Below is a picture when the discriminant is positive.

G is for graph. A graph is a diagram that exhibits a relationship, often functional, between two sets of numbers as a set of points having coordinates determined by the relationship.

I is for intercepts. In most linear and quadratic equations there are intercepts, there is the x-intercept for the x-axis and the y-intercept for the y-axis.

J is for Just check your work. When you solve an equation, you must always check you work to make sure you are 110% correct and don't make any silly mistakes.

K is for the k in the direct variation equation, y=kx. K can be any non-zero constant.

L is for Linear Equation. A linear equation can be represented as y=mx+b. An example would be y=x+1.

N is for no solution. Some systems of linear equations have the same slope but different y-intercepts, so they will never intersect and keep going parallel to each other. Which leads to them having no solution.

O is for one solution. In a quadratic equation, there can be one solution, depending on the equation. If it has one solution, it means it only has one x- intercept.

P is for Parabola. This is the name of the shape that a quadratic equation makes. It looks the the letter "U". The Gateway Arch in St. Louis, Missouri is a good example of a parabola.

Q is for quadratic formula. The quadratic formula is one of the many ways to find the solution to a quadratic equation.

R is for real numbers. All numbers are real numbers except for infinity and imaginary numbers.

S is for Solutions of a Quadratic Equation. A quadratic equation can have no solutions, one solution, or two solution. These are also known as roots, and zeros.

T is for Transitive property of equality. Which means, for any numbers a, b, and c,

if a = b and b = c, then a = c.

U is for the unit rate. A rate where the denominator is expressed as a single whole unit, i.e. miles per (one) hour, price per (one) pound, words per (one) minute, etc.. A rate can be converted to unit rate by using a proportion.

V is for Vertex. The vertex is the highest or lowest point of the parabola.

W is for Whole numbers. This is a set of counting numbers, 0, 1,2,3,4,5... whole numbers are are not negative

X is for X-Axis. The X-Axis on a coordinate plane is the horizontal line that goes across it.

Y is for Y-Axis the Y-Axis on a coordinate plane is the verical line that goes up and down.

Z is for zero power. Zero Power means anything raised to the 0 equals one.

Algebra ABC Book

By: Lauren Cook

H is for highest. The highest point on a parabola is called the maximum.

E is for Equation. An equation is a statement that the values of two mathematical expressions are equal. An example would be 10-3=4+3

F is for function. A function is a relationship between two sets that matches each member of the first set with a unique member of the second set. Functions are often expressed as an equation, such as y = x + 2, meaning that y is a function of x such that for any value of x, the value of y will be 2 greater than x.

M is for Minimum. The minimum of a parabola is its lowest point.