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Math: No Limits
In Math, a number represents a known quantity of something,
and because it is known, it can be used.
A letter represents an unknown quantity of something,
and the laws of Mathematics must be used to discover what that quantity is,
by eliminating every possibility of what it is not.
These laws are collectively known as Algebra.
A number that is nonnegative:
x ≥ 0
The product of a number and its reciprocal is one:
x(1/x) = 1
A number squared:
x² = x * x
A sum of squares
x² + y²
The opposite of an opposite is the original number
-(-x) = x
Illustrates the commutative property of addition
x + y = y + x
A number is positive
x > 0
The absolute value of a product
|xy|
The sum of a number and its reciprocal
x + 1/x
The square of a sum
(x + y)²
The absolute value of one number is less than the absolute value of another number
|x| < |y|
Illustrates the associative property of multiplication
(xy)z = x(yz)
Prime Factor 210
Reduce 45/75 to lowest terms
Simplify
Simplify
Simplify
Simplify
Solve the equation for the variable
Solve the equation for the variable
Solve the equation for the variable
Solve the equation for the variable
Solve the equation for the variable
Solve the equation for the variable
solve the inequality
solve the inequality
solve the inequality
solve for h
Chloe purchases a rectangular entertainment center. The perimeter of the entertainment center is 28 feet. The length is 2 feet more than the width. Find the width and length of the center.
Find the measures of the three angles of a triangle if the largest is 14 degrees less than 3 times the smallest, and the other angle is 4 degrees larger than the smallest.
Charles scored 91, 89, 75, and 73 on his first 4 exams. What must he score on the fifth exam to average at least 85 for the class?
Simplify the following and express answer using positive exponents.
Convert to decimal notation:
Convert to scientific notation:
Multiply using scientific notation, write answer in scientific notation:
Divide using scientific notation, write answer in scientific notation:
Add or Subtract as indicated:
Multiply and simplify:
(x - 5)(x + 3)
(x + 6)(x - 6)
(x + 7)(x + 4)
(4x - 9)(3x + 7)
