# Study sets matching "algebra chapter 5 fractions"

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Equivalent Fractions

Least Common Denominator (LCD)

Simplest Form

Proper Fraction

Fractions that represent the same number

The least common multiple of the denominators of two or more f…

a fraction is in simplest form if its numerator and denominato…

A fraction whose numerator is less than its denominator

Equivalent Fractions

Fractions that represent the same number

Least Common Denominator (LCD)

The least common multiple of the denominators of two or more f…

Fraction - decimal

Repeating Decimals

Repeating Decimal

Fraction to Decimal example

divide numerator to denominator

digits repeating

O.333333333333333

Divide 4 by 5, and the quotient is the decimal you want to fin…

Fraction - decimal

divide numerator to denominator

Repeating Decimals

digits repeating

Adding & subtracting algebraic fractions

Solving algebraic fractions

Symbols needed for inequalities

Inequalities

When adding/subtracting,you need to make sure that the denomin…

1:Find common denominator between the fractions.... 2:Multiply by…

< = less than... > = greater than... ≤ = less than or equal to... ≥ = g…

These can have more than one possible solution,which differs f…

Adding & subtracting algebraic fractions

When adding/subtracting,you need to make sure that the denomin…

Solving algebraic fractions

1:Find common denominator between the fractions.... 2:Multiply by…

degree of a monomial

end behavior

monomial

multiplicity

the sum of the exponents of all variables in the one term

the directions of the graph to the far left or far right

a number, a variable, or a product of a number and one or more…

the number of times that a variable's associated factor appear…

degree of a monomial

the sum of the exponents of all variables in the one term

end behavior

the directions of the graph to the far left or far right

inequality

set-builder notation

compound inequality

intersection

An open sentence that contains the symbol <, ≤, >, ≥.

A concise way of writing a solution set. For example, {t ｜t <…

A ______________ containing 'and' is true if both of the inequ…

The graph of a compound inequality containing 'and' is the ___…

inequality

An open sentence that contains the symbol <, ≤, >, ≥.

set-builder notation

A concise way of writing a solution set. For example, {t ｜t <…

Binomial

Coefficient

complex conjugates

complex numbers

A polynomial equation with 2 terms

A number multiplied by a variable in an algebraic expression.

Opposites of your complex number Ex: (a+bi) and (a-bi)

They are often represented as A + Bi.

Binomial

A polynomial equation with 2 terms

Coefficient

A number multiplied by a variable in an algebraic expression.

Numerator

Denominator

Equivalent Fractions

Unlike Fractions

the number on top of the fraction, indicates how many parts ar…

the number on the bottom of the fraction, the number of equal…

You can make this by X or dividing the numerator and the denom…

Fractions that have different denominators.

Numerator

the number on top of the fraction, indicates how many parts ar…

Denominator

the number on the bottom of the fraction, the number of equal…

boundary

compound inequality

union

half-plane

An equation that defines the edge for each... half-plane

Contains "and", and is true only if both of the... inequalities i…

The graph of a compound inequality containing "or"

The solution set for an inequality that contains two... variables…

boundary

An equation that defines the edge for each... half-plane

compound inequality

Contains "and", and is true only if both of the... inequalities i…

Like fractions

Unlike fractions

Least Common Multiple

Renaming Fractions

Fractions that have the same denominators.

Fractions that do not have the same denominators.

The least common multiple of the denominators of two or more f…

To rename a fraction, multiply both the numerator and the deno…

Like fractions

Fractions that have the same denominators.

Unlike fractions

Fractions that do not have the same denominators.

5-1... Sales Tax

5-1... Domain

5-1... Piecewise Function

5-1... Split Function

tax paid when buying a used car

set of values that can be put into a function

gives set of rules for each domain of the function

piecewise function... - a function that gives a set of rules for…

5-1... Sales Tax

tax paid when buying a used car

5-1... Domain

set of values that can be put into a function

boundary

closed half-plane

compound inequality

half-plane

a line that separates a graph into half planes

Is a half-plane that contains its boundary line, which is a so…

Two or more inequalities joined together by "and" or "or"

the set of points in a coordinate plane that are on one side o…

boundary

a line that separates a graph into half planes

closed half-plane

Is a half-plane that contains its boundary line, which is a so…

Zeros of a Function

Polynomial Function

Leading Coefficient

Constant Term

A number k is a zero of a function f if f(k) = 0

Coefficient in front of the x-variable with has the highest po…

A term that has no variable part, such as -4 or 2

Zeros of a Function

A number k is a zero of a function f if f(k) = 0

Polynomial Function

Mean or arithmetic average

Median

Mode

Outlier

The total value of item's divided by the number of items

middle number(think median of a road)

most-occurring number

data that is extremely different than the rest of data

Mean or arithmetic average

The total value of item's divided by the number of items

Median

middle number(think median of a road)

least common multiple

least common denominator

greatest common factor

factor

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

The least common multiple of the denominators of two or more f…

The largest factor that two or more numbers have in common.

a number multiplied by another number

least common multiple

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

least common denominator

The least common multiple of the denominators of two or more f…

DIRECT VARIATION

LINEAR EQUATION

SLOPE

POINT-SLOPE FORM

A linear function defined by an equation of the form y=kx, whe…

An equation whose graph forms a straight line.

The ratio of the vertical change to the horizontal change.

A linear equation of a nonvertical line written as y-y=m(x-x).

DIRECT VARIATION

A linear function defined by an equation of the form y=kx, whe…

LINEAR EQUATION

An equation whose graph forms a straight line.

Binomial Theorem

Conjugate Root Theorem

end behavior

expand

a theorem that gives the expansion formula for (a+b)^n.

(a + bi)*(a - bi) = a^2 + b^2

the behavior of the graph as x approaches positive infinity or…

to complete the multiplication of two or more binomials.

Binomial Theorem

a theorem that gives the expansion formula for (a+b)^n.

Conjugate Root Theorem

(a + bi)*(a - bi) = a^2 + b^2

direct variation

linear equation

parent function

point-slope form

a linear function defined by an equation of the form y=kx, whe…

an equation whose graph forms a straight line. [p. 329]

the simplest, most general function in a family of functions.…

a linear equation of a non-vertical line including a point fro…

direct variation

a linear function defined by an equation of the form y=kx, whe…

linear equation

an equation whose graph forms a straight line. [p. 329]

Numerical expression

Variable

algebraic expression

evaluate

an expression that contains only numbers and symbols

a symbol usually a letter, used to represent a number in an ex…

an expression that contains at least one variable

find the value of

Numerical expression

an expression that contains only numbers and symbols

Variable

a symbol usually a letter, used to represent a number in an ex…

boundary

closed half-plane

compound inequality

half-plane

a line or curve that separates the coordinate plane into two h…

the solution of a linear inequality that includes the boundary

two or more inequalities that are connected by the words and o…

the region of the graph of an inequality on one side of the bo…

boundary

a line or curve that separates the coordinate plane into two h…

closed half-plane

the solution of a linear inequality that includes the boundary

Scientific notation

Polynomial

Polynomial function

Leading coefficient

way of writing a really big or really small number, c X 10 to…

monomial or sum of monomials

is a function of the form f(x) = anxn + an-1xn-1 +... a1x+ a0,…

an, number in front of highest exponent

Scientific notation

way of writing a really big or really small number, c X 10 to…

Polynomial

monomial or sum of monomials

Multiplying Fractions Property

Equal Fractions Property

Dividing Fractions Property

Complex Fraction

For all real numbers a, b, c, d, with b ≠ 0 and d ≠ 0, ... a/b ∙…

For all real numbers, a, b, and k, if b ≠ 0 and k ≠ 0, then... a/…

For all real numbers a, be, c, and d, with b, c, and d ≠ 0,... a/…

A fraction that has a fraction in the numerator or a fraction…

Multiplying Fractions Property

For all real numbers a, b, c, d, with b ≠ 0 and d ≠ 0, ... a/b ∙…

Equal Fractions Property

For all real numbers, a, b, and k, if b ≠ 0 and k ≠ 0, then... a/…