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Terms in this set (105)
The distance between a real number and zero on a number line.
The opposite of a number. When added together, the sum is zero.
A collection of numbers and variables with at least one arithmetic operation.
The grouping of terms within expressions involving addition or multiplication does not change the value. Ex: (a+b) + c = a + (b+c)
axis of symmetry
The line that divides a graph into two symmetrical parts.
The repeated factor of a number written in exponential form.
A two-term polynomial.
The numerical value of a term.
combine like terms
Adding or subtracting terms that have the same variable(s) and exponent(s).
Changing the order of addition or multiplication does not change the value. Ex: a+b+c = c+a+b
Two inequalities combined in one statement by the word and or or.
A system of equations with at least one solution.
A term with no variables.
Formed by two number lines that cross each other at zero.
Ordered pairs that identify points on a plane.
The process of using logic to draw conclusions.
The lower half of a fraction.
A system of equations that has infinite solutions.
The answer to a subtraction problem.
difference of two squares
A binomial whose terms are perfect squares being subtracted.
An equation in the form y=kx, where k does not equal zero.
The expression inside the radical of the quadratic formula.
Used to clear parentheses by multiplying a term on the outside by two or more terms inside the parentheses. Ex: a(b - c) = ab - ac
A mathematical sentence with an equal sign.
To find the value of an expression by following the order of operations.
The number of times a base is multiplied by itself. Also called a power.
A result that does not satisfy the original equation or inequality.
An integer that divides another integer with no remainder.
A relation in which every input (x) has exactly one output (y).
When the output (y) of a relation is renamed f(x). Read "f of x".
The act of plotting points on a plane to represent a function or relation.
greatest common factor
The largest number that divides into two terms.
Symbols such as parentheses and brackets, which separate terms within an expressions. Others include fraction bars, absolute value, square root, braces, etc.
A system of equations that has no solution.
A system of equations that has exactly one solution.
A sentence using greater than or less than symbols. Also, greater than or equal to, or less than or equal to.
All whole numbers and their opposites.
Numbers that cannot be expressed as fractions or terminating/repeating decimals.
isolate the variable
Collecting like terms and using inverse operations to get a variable by itself on one side of a relation.
Terms with the same variables raised to the same exponents.
An equation whose variables have an exponent of one and whose graph creates a straight line.
An expression with a one term.
multiplicative identity property
Multiplying a number by one equals that number.
Two numbers multiplied together that equal one.
zero product property
Any number multiplied by zero equals zero.
The set of counting numbers starting with one.
When there is no answer to an equation or inequality.
The upper half of a fraction.
Numbers that have the same absolute value.
order of operations
The rules for evaluating an expression.
A pair of numbers used to identify a point (x, y) on a coordinate plane.
The intersection of the axes in a coordinate plane.
A U-shaped graph created by a quadratic function. Can also be upside down.
Lines or planes that never intersect.
A number with a square root that is rational.
Lines or planes that intersect at right angles.
An equation of a line in this form:
An expression with one or more monomials being added or subtracted.
The answer to a multiplication problem.
A law that governs mathematics.
One of four regions of a coordinate plane.
An expression in this form with a, b and c being numbers.
A method of finding roots of a quadratic function by replacing a, b and c with numbers.
The answer to a division problem.
The ratio that compares two quantities in different units.
The relationship of two quantities, often shown using division.
A fraction that has polynomials in the numerator and denominator.
Any number that can be written as a fraction.
All rational and irrational numbers.
The multiplicative inverse of a number. Created by switching the numerator and the denominator.
A rational number that has a block of one or more numbers after the decimal that continually show up.
A set of solutions that can replace a variable.
The difference between two y-values on a linear graph.
The difference between two x-values on a linear graph.
An expression that contains no like terms or parentheses.
To reduce an expression to as few terms as possible.
A measure of steepness of a line. Often represented by the letter. Calculated by finding the ratio of the change in y-coordinates (rise) to the change in x-coordinates (run).
An equation of a line in this form, with m as the slope and b as the y-intercept.
The process of finding all values of a variable that make an equation or inequality true.
standard form of an equation
An equation in this form, where A, B and C are integers and A is positive.
standard form of polynomials
When terms are placed in descending order according to their degree.
The answer to an addition problem.
system of equations
A set of two or more equations with two or more variables.
A rational number that does not repeat or continue indefinitely after the decimal.
A number and/or variable(s), or a combination of both being multiplied or divided.
An expression with three terms.
Symbols, usually letters, used to represent unspecified values.
All natural (counting) numbers and zero.
The horizontal number line of a coordinate plane.
The point where a graph touches the x-axis. Also referred to as roots or zeros.
The vertical number line of a coordinate plane.
The point where a graph touches the y-axis. Sometimes represented by the letter b.
line of best fit
A line drawn through a scatter plot to best represent the data.
A specific case that makes a statement false.
The sum of the exponents in a monomial.
The y-value, or output, of a relation, whose value depends on the input.
The x-value, or input, of a relation, which determines the output.
The set of x-values in a relation.
The set of y-values in a relation.
A root symbol. The most common is square root, but can also be cubed, fourth root, fifth root, etc.
A pattern in which each term is found by multiplying the previous term by a common ratio (r). Ex: 3, 6, 12, 24, 48, 96...
A pattern that increases or decreases at a constant rate (d). Ex: 5, 10, 15, 20, 25...
The solution(s) of a quadratic equation, where the parabola crosses the x-axis. Also called zeros.
A way to represent very large or very small numbers by multiplying a number (at least one but less than 10) by 10 to the nth power.
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