How can we help?

You can also find more resources in our Help Center.

Study sets matching "algebra chapter 5"

Study sets
Classes
Users

Study sets matching "algebra chapter 5"

21 terms
Algebra 2: Chapter 5
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.
8 terms
Algebra Chapter 5 Review
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…
The graph of a compound inequality containing "or"
The solution set for an inequality that contains two... variable…
boundary
An equation that defines the edge for each... half-plane
compound inequality
Contains "and", and is true only if both of the... inequalities…
Chapter 5 - Algebra
y-intercept
slope-intercept form
linear equation
x-intercept
the y-coordinate of a point where a graph crosses the y-axis
the linear equation y=mx+b, where m is the slope of the line…
an equation whose graph forms a straight line
the x-coordinate of a point where a graph crosses the x-axis
y-intercept
the y-coordinate of a point where a graph crosses the y-axis
slope-intercept form
the linear equation y=mx+b, where m is the slope of the line…
9 terms
Algebra Chapter 5 Vocabulary
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 s…
Two or more inequalities joined together by "and" or "or"
the set of points in a coordinate plane that are on one side…
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 s…
14 terms
PreAlgebra Chapter 5 Vocabulary
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 den…
Any number that can be written a/b , where a and b are intege…
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 den…
14 terms
Algebra 2 - Chapter 5
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 o…
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
8 terms
Algebra 1 - Chapter 5
direct variation
linear equation
parent function
point-slope form
a linear function defined by an equation of the form y=kx, wh…
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 fr…
direct variation
a linear function defined by an equation of the form y=kx, wh…
linear equation
an equation whose graph forms a straight line. [p. 329]
11 terms
Chapter 5 Algebra (Glencoe)
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 ineq…
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 <…
12 terms
Algebra 2 ~ Chapter 5
degree
end behavior
monomial
multiplicity
of a monomial - the exponent value of a variable. [p. 280]... of…
the directions of the graph to the far left or far right. [p.…
a number, a variable, or a product of a number and one or mor…
the number of times that a variable's associated factor appea…
degree
of a monomial - the exponent value of a variable. [p. 280]... of…
end behavior
the directions of the graph to the far left or far right. [p.…
22 terms
Algebra 2, Chapter 5
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 mor…
the number of times that a variable's associated factor appea…
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
16 terms
Algebra II Chapter 5
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 p…
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
29 terms
ALGEBRA: CHAPTER 5 - LINEAR FUNCTIONS
Rate of change
Slope
Direct variation
Constant of variation for a direct var…
The relationship between two quantities that are changing. Th…
The ratio of the vertical change to the horizontal change.... sl…
A linear function defined by an equation of the form... y = kx,…
The nonzero constant k in the function y = kx.
Rate of change
The relationship between two quantities that are changing. Th…
Slope
The ratio of the vertical change to the horizontal change.... sl…
9 terms
Algebra Chapter 5
Boundary
Closed-Half Plane
Compound Inequality
Half-Plane
limit
The solution set when a linear inequality uses >= or <= this…
Two or more inequalities joined together by "and" or "or"
A half-plane is the graph of a linear inequality. If it is a…
Boundary
limit
Closed-Half Plane
The solution set when a linear inequality uses >= or <= this…
8 terms
Algebra - Chapter 5
best-fitting line
positive correlation
negative correlation
point-slope form
A line that fits the data points in a scatter plot
A relationship between two data sets where the slope is posit…
A relationship between two data sets where the slope is negat…
The equation of a non-vertical line that passes through a giv…
best-fitting line
A line that fits the data points in a scatter plot
positive correlation
A relationship between two data sets where the slope is posit…
14 terms
Algebra 1, Chapter 5
Point-slope form
Converse
Parallel lines
Perpendicular
y - y1 = m(x - x1 )
conditional statement that switches hypothesis and conclusion
two lines that never intersect
two lines that form right angles
Point-slope form
y - y1 = m(x - x1 )
Converse
conditional statement that switches hypothesis and conclusion
8 terms
Algebra Chapter 5
boundary
closed half-plane
compound inequality
half-plane
a line or curve that separates the coordinate plane into two…
the solution of a linear inequality that includes the boundary
two or more inequalities that are connected by the words and…
the region of the graph of an inequality on one side of the b…
boundary
a line or curve that separates the coordinate plane into two…
closed half-plane
the solution of a linear inequality that includes the boundary
8 terms
Algebra 2, Chapter 5
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
17 terms
Intermediate Algebra Chapter 5
arithmetic sequence
common difference
conjecture
constant of variation
A number sequence formed by adding a fixed number to each pre…
The fixed number added to each term of an arithmetic sequence
Conclusion reached by inductive reasoning
The nonzero constant k in the function y = kx
arithmetic sequence
A number sequence formed by adding a fixed number to each pre…
common difference
The fixed number added to each term of an arithmetic sequence
11 terms
Chapter 5 Algebra
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 e…
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 e…
8 terms
Algebra Chapter 5 Vocabulary
boundary line
intersection
open half-plane
set-builder notation
a line that separates the coordinate plane into regions
the graph of a compound inequality containing and; the soluti…
the solution of a linear inequality that does not include the…
a more concise way of writing a solution set... for example: {x…
boundary line
a line that separates the coordinate plane into regions
intersection
the graph of a compound inequality containing and; the soluti…
28 terms
Chapter 5-Algebra 1
slope-intercept form
point slope form
Standard Form
Slope
y=mx+b
y-B=m(x-A)
Ax+By=C
slope-intercept form
y=mx+b
point slope form
y-B=m(x-A)
14 terms
Algebra 1 - Chapter 5
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…
9 terms
Chapter 5 Algebra (Glencoe)
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 <…
Two or more inequalities that are connected by the words and…
The graph of a compound inequality containing and; the soluti…
inequality
An open sentence that contains the symbol <, ≤, >, ≥.
set-builder notation
A concise way of writing a solution set. For example, {t |t <…
15 terms
Algebra Chapter 5 Vocabulary
Arithmetic Sequence
Common Difference
Conjecture
Constant of Variation for Direct Varia…
A number sequence formed by adding a fixed number to each pre…
The fixed number added to each term of an arithmetic sequence.
Conclusion reached based on patterns observed.
The nonzero constant k in the function y = kx.
Arithmetic Sequence
A number sequence formed by adding a fixed number to each pre…
Common Difference
The fixed number added to each term of an arithmetic sequence.
14 terms
Honors Algebra Chapter 5 Vocabulary
Consistent System
Dependent System
Elimination Method
Equation
A system of equations or inequalities that has at least one s…
A system of equations that has infinitely many solutions
A method used to solve systems of equations in which one vari…
A mathematical statement that two expressions are equivalent
Consistent System
A system of equations or inequalities that has at least one s…
Dependent System
A system of equations that has infinitely many solutions
16 terms
Algebra I Chapter 5 Key Terms
simple interest
compound interest
horizontal asymtote
basic function
the interest earned at the end of each year is a percent of t…
the interest earned at the end of each year is a percent of t…
a horizontal line that a function gets closer and closer to,…
simplest function of its type.
simple interest
the interest earned at the end of each year is a percent of t…
compound interest
the interest earned at the end of each year is a percent of t…
19 terms
Chapter 5/6 Algebra 2
Asymptote
Composite function
Domain
Exponential function
A line that a graph of a curve approaches as the x values app…
A function that is created as the result of using the outputs…
The set of all input values for a relation or function.
an equation of the form y = abx+ c, where a is the initial va…
Asymptote
A line that a graph of a curve approaches as the x values app…
Composite function
A function that is created as the result of using the outputs…
21 terms
Algebra I chapter 5
graph
relation
mapping diagram
function
shows the relationship between two variables
a set of ordered pairs
list domain values in order; list range values in order; draw…
a relation that assigns exactly one output value for each inp…
graph
shows the relationship between two variables
relation
a set of ordered pairs
10 terms
Algebra 1 - Chapter 5
point-slope form
converse
perpendicular
scatter plot
the equation of a straight line in the form y − y1 = m(x − x1…
Switching the hypothesis (guess) and conclusion (answers) of…
Perpendicular means at right angles (90°) to.
A graph of plotted points that show the relationship between…
point-slope form
the equation of a straight line in the form y − y1 = m(x − x1…
converse
Switching the hypothesis (guess) and conclusion (answers) of…
9 terms
Sorozak Algebra 2 Chapter 5
Direct Variation
Constant of Variation
Joint Variation
Inverse Variation
Relationship between x and y written as y = kx
The value of k in a variation equation
Given by y = kxz
One goes up other goes down; y = k/x
Direct Variation
Relationship between x and y written as y = kx
Constant of Variation
The value of k in a variation equation
7 terms
Algebra Chapter 5 - Inequalities
Boundary
Compound Inequality
Inequality
Intersection
A line or curve that separates the coordinate plane into regi…
Two or more inequalities that are connected by the words "and…
An open sentence that contains the symbol ˂, >, ≤, or ≥
The graph of a compound inequality containing and; the soluti…
Boundary
A line or curve that separates the coordinate plane into regi…
Compound Inequality
Two or more inequalities that are connected by the words "and…
33 terms
Algebra 2 Chapter 5 Vocabulary
# of Solutions when discriminant is 0
# of Solutions when discriminant is ne…
# of Solutions when discriminant is po…
Absolute Value of a Complex Number
1 real solution
0 real solutions and 2 complex solutions
2 real solutions
√(a^2+ b^2 )
# of Solutions when discriminant is 0
1 real solution
# of Solutions when discriminant is ne…
0 real solutions and 2 complex solutions
14 terms
Algebra 1 - Chapter 5
Rate of change
Slope
The Slope Formula
Positive Slope
Rate of change
Slope
54 terms
Algebra - Chapter 5 Review
Power Function
Polynomial Functions
Remainder Theorem
Factor Theorem
y=x², y=x³, y=x⁴...... Only one term raised to a power
Functions that are the sum of any number of monomials, which…
Let f be a polynomial function. If f(x) is divided by x - c,…
If f(c)=0 for a polynomial f(x), then x-c is a factor of f(x)…
Power Function
y=x², y=x³, y=x⁴...... Only one term raised to a power
Polynomial Functions
Functions that are the sum of any number of monomials, which…
6 terms
Pre-Algebra Chapter 5
Area
Formula
Identity
Inequality
The number of square units required to cover a surface.
(mathematics) a standard procedure for solving a class of mat…
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 mat…
15 terms
Algebra: Chapter 5
Order of operations is...
The "order" in the Order of Operations…
When using grouping symbols...
When the X is trapped inside both pare…
just the instructions on how to add, multiply, etc numbers in…
parenthesis, exponents, multiplication and division, addition…
parenthesis should be innermost and done first, brackets are…
you need to distribute twice.
Order of operations is...
just the instructions on how to add, multiply, etc numbers in…
The "order" in the Order of Operations…
parenthesis, exponents, multiplication and division, addition…
14 terms
Algebra 1 - Chapter 5
Rate of change
Slope
The Slope Formula
Positive Slope
Rate of change
Slope
19 terms
Algebra 2 Chapter 5 Vocabulary
degree of a polynomial
depressed polynomial
end behavior
extrema
...
...
...
...
degree of a polynomial
...
depressed polynomial
...
25 terms
Algebra 1 - Chapter 5
Slope
intercept
x intercept
y intercept
the steepness of a line on a graph, equal to its vertical cha…
the point at which a line intersects a coordinate axis
x coordinate of a point where a graph crosses the x axis/ y c…
the point where the graph crosses the y-axis; the x-value wil…
Slope
the steepness of a line on a graph, equal to its vertical cha…
intercept
the point at which a line intersects a coordinate axis
20 terms
Algebra 1, Chapter 5
inequality
or
compound inequality
intersection
open sentence containing <, >, ≥, or ≤
when the absolute value is greater than or greater than or eq…
two inequalities using the word "and" or "or"
the graph of a compound inequality containing "and"; the area…
inequality
open sentence containing <, >, ≥, or ≤
or
when the absolute value is greater than or greater than or eq…
10 terms
PreAlgebra Chapter 5 Vocabulary
area
formula
identity
inequality
...
...
...
...
area
...
formula
...
9 terms
Algebra 1 Chapter 5
System of Linear Equations
Solution of a System of Linear Equations
Linear Inequality in Two Variables
Solution of a Linear Inequality in Two…
A set of two or more linear equations in the same variables.
An ordered pair that is a solution of each equation in the sy…
An inequality written in the form ax+by < c, ax+by less than…
An ordered pair (x, y) that makes an equation true.
System of Linear Equations
A set of two or more linear equations in the same variables.
Solution of a System of Linear Equations
An ordered pair that is a solution of each equation in the sy…
9 terms
Algebra 1 Chapter 5 Vocabulary
boundary
closed half-plane
compound inequality
half-plane
...
...
...
...
boundary
...
closed half-plane
...
Algebra 2 - Chapter 5
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 o…
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
16 terms
Honors Algebra II - Chapter 5
monomial
binomial
trinomial
polynomial
1 term
2 terms
3 terms
one or more terms, but usually used to name those with 4 or m…
monomial
1 term
binomial
2 terms
8 terms
Algebra 1 - Chapter 5
direct variation
linear equation
parent function
point-slope form
a linear function defined by an equation of the form y=kx, wh…
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 fr…
direct variation
a linear function defined by an equation of the form y=kx, wh…
linear equation
an equation whose graph forms a straight line. [p. 329]
16 terms
Algebra Chapter 5 - Exponential Functions
simple interest
compound interest
horizontal asymptote
basic function
a percent of the original deposited amount
a percent of the account balance at the beginning of the year
a horizontal line that a function gets closer and closer to,…
the simplest function of its type
simple interest
a percent of the original deposited amount
compound interest
a percent of the account balance at the beginning of the year
26 terms
Algebra Chapter 5
Monomial
Degree of a Monomial
Polynomial
Degree of a Polynomial
A real number, variable, or a product of a real number and on…
The exponent of a variable.
A monomial or a sum of monomial so.
The greatest degree among its monomial terms.
Monomial
A real number, variable, or a product of a real number and on…
Degree of a Monomial
The exponent of a variable.
8 terms
Algebra 1 Chapter 5
Boundary
closed half-plane
compound inequality
half-plane
a line or curve that separates the coordinate plane into regi…
The solution of a linear inequality that includes the boundar…
two or more inequalities that are connected by the words AND…
The region of the graph of an inequality on one side of a bou…
Boundary
a line or curve that separates the coordinate plane into regi…
closed half-plane
The solution of a linear inequality that includes the boundar…
13 terms
Algebra Chapter 5
relation
domain
range
function
set of ordered pair
the first coordinates of the ordered pairs in a relation
the second coordinates of the ordered pairs
relation that assigns exactly one value in the range to each…
relation
set of ordered pair
domain
the first coordinates of the ordered pairs in a relation
1 of 10