#### Study sets matching "pre chapter 5"

#### Study sets matching "pre chapter 5"

improper fraction

lowest terms of a fraction

Rational Number

Mixed Number

a fraction whose numerator is larger than the denominator

A fraction is in lowest terms if the GCF of numerator and deno…

Any number that can be written a/b , where a and b are integer…

A number consisting of an integer and a proper fraction.

improper fraction

a fraction whose numerator is larger than the denominator

lowest terms of a fraction

A fraction is in lowest terms if the GCF of numerator and deno…

Order of Operations

Constant

Equation

Root of the equation

PEMDAS

a number in an expression that does not change such as 2 or -6…

a mathematical sentence stating that two quantities are equal…

the number substituted for a variable that makes the equation…

Order of Operations

PEMDAS

Constant

a number in an expression that does not change such as 2 or -6…

Compound Interest

Continuous compounding

Common Logarithmic function

Natural Logarithmic function

when interest is paid on a balance that includes interest accu…

number of compounding periods increases without bound

logarithm with base 10, log10 or log

logarithm with base e, loge or ln

Compound Interest

when interest is paid on a balance that includes interest accu…

Continuous compounding

number of compounding periods increases without bound

Angle of Depression

Angle of Elevation

Coterminal Angles

Reference Angle

The angle from the horizontal to the line of sight in a downwa…

The angle from the horizontal to the line of sight in a upward…

Two angles on the unit circle that have the same terminating s…

The acute angle from the terminating side of an angle to the x…

Angle of Depression

The angle from the horizontal to the line of sight in a downwa…

Angle of Elevation

The angle from the horizontal to the line of sight in a upward…

cofunction

difference identity

double-angle identity

half-angle identity

-Trig identities showing the relationship between sine and cos…

sin(a-b)=sin(a)cos(b)-cos(a)sin(b)... cos(a-b)=cos(a)cos(b)+sin(a…

Trig identities that show how to find the sine, cosine, or tan…

useful in calculus for converting rational functions in sine a…

cofunction

-Trig identities showing the relationship between sine and cos…

difference identity

sin(a-b)=sin(a)cos(b)-cos(a)sin(b)... cos(a-b)=cos(a)cos(b)+sin(a…

exponential function with base b

Euler's constant e

y = e^x

y = logb(x)

defined by the equation y = b^x where 0>b > 1

to five decimals this approximates 2.71828... a common constant i…

instantaneous rate of change function, for any y coordinate on…

y denotes the exponent to which base, b, must be raised to yie…

exponential function with base b

defined by the equation y = b^x where 0>b > 1

Euler's constant e

to five decimals this approximates 2.71828... a common constant i…

bar notation

common multiples

dimensional analysis

least common denominator

to indicate that a digit or a group of digits repeats

sometimes numbers have some of the same multiples

is the process of including units of measurements of factors w…

the least of two numbers

bar notation

to indicate that a digit or a group of digits repeats

common multiples

sometimes numbers have some of the same multiples

Area

Formula

Identity

Inequality

The number of square units required to cover a surface.

(mathematics) a standard procedure for solving a class of math…

An equation that is true for all values of the variable.

A mathematical sentence that contains less than, greater than,…

Area

The number of square units required to cover a surface.

Formula

(mathematics) a standard procedure for solving a class of math…

decimal

decimal point

scientific notation

tally

a number written with a dot; values of places to the left of t…

the dot in a decimal; it separates the part greater than 1 fro…

a number written as the product of two factors; the first fact…

a way to keep a count

decimal

a number written with a dot; values of places to the left of t…

decimal point

the dot in a decimal; it separates the part greater than 1 fro…

formula

perimeter

area

inequality

an equation that shows a relationship among certain quantities.

the distance around a geometric figure

the measure of the surface enclosed by a figure

a mathematical sentence that compares quantities that are not…

formula

an equation that shows a relationship among certain quantities.

perimeter

the distance around a geometric figure

Vertex

Initial Side

Terminal Side

Standard Position

The common endpoint of two rays forming an angle

The fixed ray of an angle

A ray of an angle that rotates about the vertex

An angle with its vertex at the origin and its initial side al…

Vertex

The common endpoint of two rays forming an angle

Initial Side

The fixed ray of an angle

similar

proportion

unit price

corresponding sides

used to describe figures having the same shape but not necessa…

an equation that states that two ratios are equivalent

a unit rate used to compare price per item

sides of similar figures having the same relative position

similar

used to describe figures having the same shape but not necessa…

proportion

an equation that states that two ratios are equivalent

Quotient identities

Reciprocal Identities

Pythagorean Identities

Even Identities

tanu = sinu/cosu... cotu = cosu/sinu

sinu = 1/sinu... cosu = 1/secu... tanu = 1/cotu... cotu = 1/tanu... secu =…

sin^2u = cos^2u = 1... 1+tan^2u = sec^2u... 1 + cot^2u= csc^2u

cos(-u) = -cosu... sec(-u) = -secu

Quotient identities

tanu = sinu/cosu... cotu = cosu/sinu

Reciprocal Identities

sinu = 1/sinu... cosu = 1/secu... tanu = 1/cotu... cotu = 1/tanu... secu =…

adjacent angles

alternate exterior angles

complementary angles

congruent

angles in the same plane that have a common vertex and a commo…

for two lines intersected by a tranversal, a pair of angles th…

two angles whose measures add to 90°.

having the same size and shape; the symbol is ≅

adjacent angles

angles in the same plane that have a common vertex and a commo…

alternate exterior angles

for two lines intersected by a tranversal, a pair of angles th…

ratio

rate

unit rate

complex fractions

a comparison of two quantities by division

a ratio of two quantities having different kinds of units

when a rate is simplified so that it has a denominator of 1

fractions with one or more fractions in the numerator, denomin…

ratio

a comparison of two quantities by division

rate

a ratio of two quantities having different kinds of units

arithmetic series (sequence)

common multiple

geometric sequence

least common multiple

A set of numbers in which the difference between any two numbe…

A multiple that two or more numbers share.

A sequence in which each term is found by multiplying the prev…

The smallest multiple (other than zero) that two or more numbe…

arithmetic series (sequence)

A set of numbers in which the difference between any two numbe…

common multiple

A multiple that two or more numbers share.

Constant of proportionality

Cross products

Equivalent ratios

Indirect measurement

The value of the ratio of quantities in a proportional relatio…

For two ratios, the cross products are found by multiplying th…

Two ratios that name the same number are equivalent ratios. Eq…

Indirect measurement uses proportions and similar figures to m…

Constant of proportionality

The value of the ratio of quantities in a proportional relatio…

Cross products

For two ratios, the cross products are found by multiplying th…

arithmetic series(sequence)

common multiple

geometric sequence

least common multiple

A set of numbers in which the difference between any two numbe…

A number that is a multiple of two or more numbers.

A sequence in which each term is found by multiplying the prev…

The smallest multiple (other than zero) that two or more numbe…

arithmetic series(sequence)

A set of numbers in which the difference between any two numbe…

common multiple

A number that is a multiple of two or more numbers.

Rational Numbers

Irrational Numbers

Natural Number

Whole number

Any number that can be expressed as a fraction

Any number that can't be written as an integer over an integer…

All positive integers (not including zero)

Natural numbers ( counting numbers) and zero; 0, 1, 2, 3...

Rational Numbers

Any number that can be expressed as a fraction

Irrational Numbers

Any number that can't be written as an integer over an integer…