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Algebra 1 - Semester 1 Vocabulary
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Terms in this set (55)
real numbers
Rational numbers and irrational numbers form the set of ____________________.
natural numbers
All numbers in the set {1, 2, 3, .....} are ___________________.
whole numbers
All numbers in the set {0, 1, 2, 3, ....} are ____________________.
integers
All numbers in the set {...-2, -1, 0, 1, 2, ...} are _____________________.
rational number
A ________________________ is any number that you can write in the form a/b, where a and b are integers and b cannot be equal to 0.
irrational number
An _____________________ cannot be represented as the quotient of two integers. In decimal form, an ____________________ does not terminate or repeat.
inequality
An _____________________ is a mathematical sentence that compares the values of two expressions using symbols from the picture.
distributive
To simplify the expression 2(x + 3) to 2x + 6, the _____________________ property is used.
terms
The _______________ 3x, -7 and 2x make up the expression 3x - 7 + 2x.
constant
The ________________ in the expression 3x - 7 + 2x is -7.
coefficients
The ________________ in the expression 3x - 7 + 2x are 3 and 2.
like terms
The ________________ in the expression 3x - 7 + 2x are 3x and 2x.
expression
An ________________ is a mathematical sentence that does not include an equal sign.
equation
An ________________ is a mathematical sentence that does include an equal sign. Example 2x -3 = 5
Addition Property of Equality
Which property is represented in the picture?
Subtraction Property of Equality
Which property is represented in the picture?
Multiplication Property of Equality
Which property is represented in the picture?
Division Property of Equality
Which property is represented in the picture?
literal equation
A _____________________ is an equation that involves two or more variables.
formula
A ___________________ is an equation that states a relationship among quantities.
compound inequality
A ____________________________ consists of two distinct inequalities joined by the word and or the the word or.
interval notation
_________________________ can be used to describe an interval on the number line. Examples are shown in the picture.
dependent variable
In a relationship between variables, the ____________________ changes in response to another variable, the independent variable.
inputs
Values of the independent variables are called _____________.
outputs
Values of the dependent variables are called ____________.
function
A __________________ is a relationship that pairs each input value with exactly one output value.
linear function
A __________________ is a function whose graph is a straight nonvertical line.
nonlinear function
A ___________________ is a function whose graph is not a straight line.
continuous
A __________________ graph is a graph is a graph that is unbroken.
discrete
A ___________________ graph is composed of distinct, isolated points.
domain
The ______________ of a relation or function is the possible values for the input.
range
The ______________ of a relation or function is the possible values for the output.
relation
A _________________ is a pairing of numbers in one set, called the domain, with numbers in another set, called the domain. Example: {(2, 1), (5, 3), (8, 5)}
slope
The ______________ is the ratio of the vertical change (or rise) to the horizontal change (or run) between two points on a line.
positive slope
A line with a _______________________ slants upward from left to right.
negative slope
A line with a ______________________ slants downward from left to right.
0
A line with a slope of ____________________ is horizontal.
undefined
A line with an _____________________ slope is vertical.
y-intercept
A ______________________ of a graph is the y-coordinate of a point where the graph crosses the y-axis.
slope-intercept form
Which linear form of an equation is represented in the picture?
point-slope form
Which linear form of an equation is represented in the picture?
standard form
Which linear form of an equation is represented in the picture?
x-intercept
The ________________ is the x-coordinate of a point where a graph crosses the x-axis.
scatterplot
A ____________________ is a graph that relates two different sets of data by displaying them as ordered pairs.
positive correlation
When y tends to increase as x increases, the two sets of data have a _________________________.
negative correlation
When y tends to decrease as x increases, the two sets of data have a __________________________.
no correlation
When x and y are not related, the two sets of data have ______________________.
system of linear equations
Two or more linear equations form a ______________________.
solution of a system of linear equations
Any ordered pair that makes all of the equations in a system true is a _____________________.
one solution
If the two lines in a system of equations intersect, they have __________________.
no solution
If the two lines in a system of equations are parallel, they have ________________.
infinitely many solutions
If the two lines in a system of equations have the same slope and y-intercept, they have _______________________.
substitution method
The picture shows a way to solve a system of equations by using the _________________.
elimination method
The picture shows a way to solve a system of equations by using the _________________.
system of linear inequalities
The pictures shows a solution to a ______________________.
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