Algebra Readiness Builders Algebra 1 Vocabulary

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Algebra Readiness Builders Algebra 1 Vocabulary
Associative Property- For all real numbers a, b, and c, (a + b) + c = a + (b + c)
or (ab)c = a(bc).
Asymptote-
A line that a graph closely approaches.
Axis of Symmetry-
The line that divides the graph into equal halves.
Base-
The number or expression in a power that is multiplied
by itself.
Commutative Property- For all real numbers a and b, a + b = b + a or ab = ba.
Dependent Variable-
A variable depends on one or more other variables.
Direct Variation-
The relationship of 2 variables x and y where there is
some constant k such that y = kx.
Discrete data-
A set of data having a finite number of values or data
points.
Discriminant-
The expression under the radical in the quadratic
formula.
Distributive Property - a(b + c) = ab + ac
Domain-
The set of first elements in ordered pair or table.
Elimination Method- The process of eliminating one of the variables in a
system of equations using addition or subtraction in
conjunction with multiplication or division.
Equation-
A mathematical sentence formed by placing an equal
sign between two expressions.
Exponent -
Tells how many times a number is used as a factor.
Exponential Decay-
An exponential function y = abx , where a > 0 and
0 b 1.
Exponential Function- A function in which the independent variable is the
exponent.
Algebra Readiness Builders Algebra 1 Vocabulary
Exponential Growth- An exponential function y = abx, where a > 0 and b >1.
Expression-
A mathematical phrase containing numbers and operating
symbols.
Factor-
One of two or more expressions that are multiplied together
to get a product.
Function-
A relation where every input has exactly one output.
Independent Variable- The variable in a relationship that can be changed.
Inequality-
A mathematical sentence that contains one or more of
these symbols <, >, ≤, ≥, or ≠.
Input-
The value you put into a formula or equation.
Integers-
Natural numbers, their opposites, and “0”.
Inverse Variation-
The relationship of two variables x and y where there
is some constant k such that xy = k or y = .
Irrational Number- A number that neither repeats or terminates.
Line -
A straight path that extends forever in both directions.
Multiplicative Inverse Property- For all real number a,
Negative Exponent PropertyNumeric data-
an =
or
= an
= 1,
a
a
0.
Data in which both quantities can be measured with
numbers.
Order of Operations -Grouping Symbols, Exponents, Multiply & Divide,
Add & Subtract.
.
Algebra Readiness Builders Algebra 1 Vocabulary
Output-
The value that comes out of a formula or equation.
Parabola-
The shape of the graph of a quadratic function.
Parallel Lines-
Lines that have the same slope.
Parent Function- The most basic function in a family of functions.
Perpendicular Lines- Lines whose slopes are negative reciprocals.
Point -
A location in space that has no dimensions.
Polynomial-
A monomial or a sum of monomials.
Power -
An expression using a base and an exponent.
Power of a Power Property-
=
Power of a Product Property- (ab)m = ambm
Power of a Quotient PropertyProduct of Powers Property-
=
b
0
aman = am+n
Quadratic FormulaQuotient of Powers Property-
= am – n
a 0
Range-
The set of second elements in ordered pair or table.
Rational Number-
A number that can be expressed as the ratio of two
integers and the denominator cannot equal zero.
Algebra Readiness Builders Algebra 1 Vocabulary
Reciprocal-
Two numbers whose product is 1.
Representations-
Models, graphs, equations, tables and verbal descriptions
of data.
Slope-
The ratio of the vertical change (rise) to the horizontal change
(run).
Solution-
A value for the variable or an ordered pair that makes an
equation true.
Standard Form of a Quadratic Function- A quadratic function written in the form
f(x) = ax2 + bx + c.
Substitution Method-
A method of solving a system of equations where one of
the equations is solved for one variable in terms of the
other.
Systems of Equations- A set of two or more equations that have two or
more variables.
TermVariable-
One part of an expression that includes a number, a
variable, or product of both.
A letter used to represent a number in equations or expressions.
Vertex Form of a Quadratic FunctionVertex of the ParabolaZero Exponent Property-
A quadratic function written in the form
f(x) = a(x – h)2 + k.
The maximum or minimum point on a parabola.
a0 = 1
a 0
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