Honors Algebra I Vocabulary List by Chapter
Week
1
Variable
1
2
2
Power
Order of Operations
PEMDAS
3
Function
3
Independent Variable
4
Dependent Variable
Chapter 1
a character used to represent one or more numbers; also known as a placeholder or an unknown.
an expression that represents repeated multiplication of the same factor.
Rules for evaluating an expression of more than one operation.
parenthesis, exponents, multiplication and division moving left to right, and addition and subtraction moving left to right.
a function consists of: 1) a set called the domain containing numbers called inputs, and a set called the range containing numbers called outputs; 2)a pairing of inputs with outputs such that each input is paired with exactly one output.
the input variable of a function; the set of which is known as the domain.
12
the output variable of a function; the set of which is known as the range.
Chapter 2
Whole Number
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Integers
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Rational numbers
a number that can be written as a over b where a and b are integers and b is not equal to zero.
Absolute Value
the distance between any number and 0 on a number line (the number is always a positive number).
Constant Term
a term with a number part but no variable part.
Like Terms
terms containing the same variable part.
Coefficient
the number part of a term containing a number and a variable.
Perfect Square
a number that is a square of an integer.
Irrational Number
a number that cannot be written as the quotient of two integers.
Real Numbers
the set of all rational and irrational numbers.
Chapter 3
Inverse Operations
two operations that undo each other.
Ratio a comparison of two numbers using division.
Proportion
an equation that states two ratios are equivalent.
Literal Equation
an equation in which letters are used to replace the constants and coefficients of another equation.
Chapter 4
Slope
the ratio of the vertical change to the horizontal change between any two points on the line.
Direct Variation
a relationship of two variables x and y if there is a nonzero number a such that y=ax.
Slope-­‐Intercept Formula y = mx + b
13
Function Notation
13
14
Correlation
Best-­‐fitting Line
4
5
5
6
6
7
7
8
8
9
9
10
10
11
11
12
a way to name a function using the symbol f(x) instead of y.
Chapter 5
the relationship between paired data.
the line that most closely follows a trend in data.
Chapter 6
Alg I vocab. 1
14
Compound Inequality
15
System of Linear Equations
two inequalities joined by and or or; -­‐2<x<1.
18
18
Chapter 7
two or more linear equations in the same variables; also called a linear system or simultaneous equations.
Chapter 8
Zero Exponent
if a is not equal to 0, then a0 = 1.
Negative Exponent
if a is not equal to 0, then a-­‐n is the reciprocal of an.
Exponential Growth
when a quantity grows exponentially, it increases by the same percent over equal time periods.
Compound Interest
interest that is earned on both an initial investment and on previously earned interest.
Chapter 9
Monomial
a number, variable, or product of a number and one or more variables with whole number exponents.
Polynomial
a sum of monomials
Degree of a Polynomial the greatest degree of the terms of the polynomial.
19
Roots
15
16
16
17
17
19
20
20
21
21
22
22
23
23
24
24
25
25
the solutions of an equation in which one side of the equation is = 0 and the other side is a product of polynomial factors.
Factor Completely
a polynomial written as a product of unfactorable polynomials with integer coefficients.
Chapter 10
Quadratic Function
a function containing a squared term as the highest degree term.
Parabola
the u shaped graph of a quadratic function.
Quadratic Equation
an equation containing a squared term as the highest degree term.
Completing the Square the process of rewriting a quadratic expression so that it is a perfect square trinomial.
Quadratic Formula
the formula x = -­‐b + or -­‐ the square root of b2 -­‐ 4ac all divided by 2a.
Discriminant
the expression under the radical sign of the quadratic equation; b2-­‐4ac
Chapter 11
Rationalizing the the process of eliminating a radical from an expressions denominator.
Denominator
Hypotenuse
the side of a right triangle opposite the right angle.
Pythagorean Theorem the sum of the squares of the legs of a right triangle is equal to the square of the hypotenuse.
Chapter 12
Inverse Variation
the relationship of two variables such that y = a/x.
Hyperbola
the graph of the inverse variation equation y = a/x.
Chapter 13
Probability
a number from 0 to 1 that measures the chance than an event will take place.
Alg I vocab. 2