Definition Flashcards
Define
Integers
Integers are all the positive whole numbers, zero, and their opposites (negatives).
What is the difference between real numbers and integers
Integers are real numbers, but not all real numbers are integers. Here are some differences: Real numbers include integers, but also include rational, irrational, whole and natural numbers. Integers are a type of real number that just includes positive and negative whole numbers and natural numbers
PEDMAS
The fraction bar act as a grouping symbol.
1. Group everything at the top
2. Group everything at the bottom
3. Lastly, divide the top by the bottom.
ex:
The operations are in the following order:
1. Exponent in the numerator, divide in denominator
2. Multiply in the numerator, subtract in denominator
3. Add the opposite to simplify numerator, denominator is done.
4. Reduce, divide
The answer is : 20
PEDMAS: Absolute value
When we have absolute value we will evaluate everything inside the abso- lute value, just as if it were a normal parenthesis. Then once the inside is com- pleted we will take the absolute value, or distance from zero, to make the number positive.
Define
Like terms
Like terms are terms where the variables match exactly (exponents
included). Examples of like terms would be 3xy and − 7xy or 3ab and 8ab or − 3 and 5.
Properties of Algebra: combining like terms
If we have like terms we are allowed to add (or subtract) the numbers in front of the variables, then keep the variables the same.
As we combine like terms we need to interpret subtraction signs as part of the fol- lowing term. This means if we see a subtraction sign, we treat the following term like a negative term, the sign always stays with the term.
5x−2y−8x+7y
− 3x + 5y
Properties of algebra: Distributive Property
A final method to simplify is known as distributing. Often as we work with problems there will be a set of parenthesis that make solving a problem difficult, if not impossible. To get rid of these unwanted parenthesis we have the distributive property. Using this property we multiply the number in front of the parenthesis by each term inside of the parenthesis.
Distributive Property: a(b + c) = ab + ac
− 7(5x − 6)
− 35x + 42
Properties of Algebra: DIstributive properties of -1
It is possible to distribute just a negative through parenthesis. If we have a nega- tive in front of parenthesis we can think of it like a − 1 in front and distribute the
− 1 through.
−(4x−5y+6)
−4x+5y−6
What is a polynomial?
What is a rational expression
A rational expression is simply a quotient of two polynomials. Or in other words, it is a fraction whose numerator and denominator are polynomials.
Of two equivalent polygons with the same number of sides (n sides), the regular polygon has the smallest perimeter.
true
What is a polygon
A polygon is a closed two-dimensional figure composed of straight-line segments that meet at their endpoints.
In a regular polygon, the sides all have the same lenghts.
Between two equivalent convex polygon - so, between two polygon with the same area and without caved in sides - the polygone with the greatest number of sides has the smallest perimeter
True
Of all regular polygon with the same perimeter, the one with the largest area is the one with the greatest number of sides.
true
Of all equivalent plane figures, the circle has the smallest perimeter
true
Stitz Zeager Precalculus
Stitz Zeager Precalculus
Stitz Zeager Precalculus
Stitz Zeager Precalculus
Stitz Zeager Precalculus
Stitz Zeager Precalculus
Stitz Zeager Precalculus
Stitz Zeager Precalculus
The length of a rectangle is 4 cm greater than the width. If each dimension is increased by 3, the new area will be 33 square cm larger. Find the dimensions of the original rectangle.
wallace.ccfaculty.org
2cm and 6cm
