# Properties and Algebraic Notation - Unit 4 Worksheet

Type
Matching Worksheet
Description

Statement with an equal sign. Equation
Describe if it is greater than, less than or equal to each other. Thinking about the value. Compare
Opposite of prime - Any number that is not prime, greater than one. More than one factor pair Composite Number
Look at a value (like a, y, x) and then solve. Evaluate an Expression
Answer of a subtraction problem Difference
A number, variable (s, y. x) or a combination of numbers and variables with one or more operations. Expression
A pair of whole numbers whose product is that number the number you are finding pairs for. Factor Pair
A graph that uses pictures or symbols that represent values or data Pictograph
A number that is the product of a given number and any whole number. Numbers that are skip counted; larger Multiple
A number with only 2 factors; 1 and itself Prime number
A sequence that can be described by a rule. Pattern
Solving parts (breaking down) an equation to make the equation simpler. 17t + t Combine like terms (variables) Simplify an Expression
The answer to an addition problem. Sum
Numbers , variables, product or quotient, separated by an operations sign (+ -). Term

## Expressions and Equations Crossword

Type
Crossword
Description

a mathematical phrase that combines numbers, operation signs and variables algebraic expression
operations that undo each other, such as addition and subtraction or multiplication and division inverse operation
the highest number that can be divided evenly into two or more numbers greatest common factor
in an equation with two variables, the variable whose value affects the dependent variable: for example, "x" in y=x+1 independent variable
in an equation with two variables, the variable whose value affects the independent variable: for example "y" in y=x+1 dependent variable
a set of rules that determines the correct sequence for evaluating expressions order of operations
a letter or symbol used to represent a number variable
a number that tells how many times a given base is used as a factor exponent
a statement that two quantities are equal: contains an equal sign equation
a mathematical statement that compares two expressions and includes an inequality symbol such as < or > inequality
the numerical factor of a term containing a variable coefficient
the repeated factor in an expression with an exponent base
a number, variable, product or quotient in an expression term
a combination of numbers and operation signs expression
a phrase that contains numbers and operations numerical expression

## Special Factoring Crossword Puzzle

Type
Crossword
Description

First, outer, inner, last FOIL
When we square a binomial, the answer is a trinomial PERFECTSQUARETRINOMIAL
When we multiply using the sum and difference pattern DIFFERENCEOFSQUARES
a polynomial with 2 terms BINOMIAL
a polynomial with 3 terms TRINOMIAL
the greatest degree of its terms DEGREEOFPOLYNOMIAL
the coefficient of the 1st term of the polynomial once it has been ordered LEADINGCOEFFICIENT
one term that consists of a number, a variable, or a product of the two with whole number exponents MONOMIAL
The sum of the exponents of the variables in the monomial DEGREEOFMONOMIAL
a monomial or the sum of monomials POLYNOMIAL
A whole number greater than 1 that has exactly two factors PRIMENUMBER
A whole number greater than 1 that has more than 2 factors COMPOSITENUMBER
A whole number expressed as a product of factors that are all prime numbers PRIMEFACTORIZATION
A monomial expressed as a product of prime numbers and variables in which no variable has an exponent greater than 1 FACTOREDFORM
product of the prime factors common to two or more intergers GCF
To express a polynomial as the product of monomials and polynomials FACTORING
the use of the distributive property to factor FACTORINGBYGROUPS
The solutions of a quadratic equation ROOTS
Polynomial that can't be written as a product of two polynomials PRIMEPOLYNOMIAL
trinomials that are the square of a binomial PERFECTSQUARETRINOMIAL
symmetric about the y-axis EVENFUNCTION
symmetric about the origin ODDFUNCTION
y-value increases as the x-value increases INCREASINGINTERVAL
y-value decreases as the x-value increases DECREASINGINTERVAL
where the graph changes from increasing to decreasing TURNINGPOINTS
written in the most commonly accepted way STANDARDFORM
where a line intercepts the y axis of a graph YINTERCEPT
where a line intersects the x axis of a graph XINTERCEPT
A value we can put in place of a variable that makes the equation true SOLUTION
the result of multiplying a number by itself SQUARE

## ANSWER KEY Crossword

Type
Crossword
Description

The maximum or minimum point of a quadratic function. vertex
The line of symmetry that runs through the vertex; can be found algebraically: x=-b/(2a) axis of symmetry
All the input values of a function. domain
All the output values of a function. range
x = -b ± √(b² - 4ac)/2a quadratic formula
one of the possible outcomes of a probability experiment event
a possible result of an experiment outcome
a diagram that shows how two or more sets in a universal set are related Ven diagram
a collection or list of items SET
events such that the outcome of one event does not affect the probability of the outcome of another event independent events
'sides and angles' that are images of each other will be equal if the two triangles are congruent. CORRESPONDING PARTS
Any number that can be written as a simple fraction, with a whole number numerator and denominator, such as terminating decimals, repeating decimals and integers. rational number
A square with a whole number root. perfect square
An angle of exactly 90 degrees. right angle
A triangle that contains a right angle. right triangle
Any number that cannot be written as a simple fraction, such as non-repeating, non-terminating decimals, square roots of non-perfect squares, pi. irrational number
The result of multiplying a number by itself square
Greek philosopher, 570-495 BC. There is no evidence that Pythagoras himself worked on or proved the Pythagorean Theorem, which was used previously by Babylonians and Indians. Pythagoras
A mathematical symbol that indicates the extraction of the root of the square inside. radical sign
the statement that the values of two mathematical expressions are equal equation
a numerical or constant quantity placed before and multiplying the variable in an algebraic expression Coefficient
solving a problem solutions
value that,when multiplied by itself,gives the number roots
relationship between two numbers indicating how many times the first number contains the second ratio
two ratios or fractions are equal proportion
relationship between two numbers indicating how many times the first number contains the second ratio
a single number or variable, or numbers and variables multiplied together terms
an unbroken part of a circle arc
an angle whose vertex is at the center of a circle central angle

## Systems of Equations Crossword Puzzle

Type
Crossword
Description

a statement that the values of two mathematical expressions are equal equation
the variable in an algebraic expression coefficient
y=mx+b slope intercept form
the answer to an equation solution
a diagram showing the relation between variable quantities, typically of two variables, each measured along one of a pair of axes at right angles graph
each of a group of numbers used to indicate the position of a point, line, or plane. coordinates
side by side and having the same distance continuously between them. parallel
is a mathematical phrase that can contain ordinary numbers, variables, and operators expression
a quantity that may change within the context of a mathematical problem variable
solve an equation for one variable, then substitute that solution in the other equation, and solve substitution
you either add or subtract the equations to get an equation in one variable. elimination
is a collection of two or more equations with a same set of unknowns system of equations

## Algebra Vocabulary Crossword

Type
Crossword
Description

A math sentence without an equal sign. expression
A letter or symbol that represents a number. variable
A sequence made by adding the same number. arithmetic
Replacing a variable with a number. substitution
Terms whose variables and their exponents are the same. like term
A set of numbers that follows a pattern. sequence
To solve or find the solution. evaluate
A math sentence with an equal sign. equation
The parts of an equation that don't change. constant
Used to solve equations, opposite. Inverse operations
The numerical factor multiplied by the variable in the term. coefficient
Rules in math like, distributive and commutative. properties
Parts of an expression, equation, or sequence. term
A sequence that you multiply the same number to get the next term. geometric
Less than, equal to, less than or equal to, greater than or equal to. inequalities

## Rational Expressions Crossword

Type
Crossword
Description

A rational expression Fraction
A statement that contains an equal sign Equation
The values of a variable that make the statement true. Solution
A horizontal or vertical line that makes the statement true Asymptote
Values that x can not be equal to in a rational expression Excluded
A statement that has the greater than, less than, greater than or equal to, or less than or equal to symbols. Inequality
A positive or negative whole number. Integer
Numbers that have unique factors of itself and 1. Prime
Numbers that are not prime numbers. Composite
A type of cancelling that we do to rational expressions to simplify them. Cross
Rules of Fraction number 1, you can not divide by this number. Zero
A factor that is common and the greatest value for two or more expressions. GCF
A method for factoring trinomials that requires you to factor the 1st and 3rd term to add up to the middle term. Smile
An expression with 3 terms. Trinomial
An expression with 2 terms Binomial
An expression with the greatest exponent value of 2. Quadratic
An expression with the greatest exponent value of 1 Linear
An expression with a single term Monomial
An expression with 2 terms Binomial
An expression that is a fraction or ratio Rational

## Math Vocabulary Crossword

Type
Crossword
Description

the answer to an addition problem sum
the act or breaking up numbers division
the act of calculating the total of 2 or more numbers addition
the act of combining sets of numbers multiplication
solving a math problem where the answer is close to the real answer estimating
finding a number that is nearest to an event 10, 100, 1,000, etc. rounding
rules for dividing numbers to help with factoring rules of divisibility
a number in which another number is divisible factor
the answer to a subtraction problems difference
the answer to a multiplication problem product
the answer to a division problems quotient
the act of taking away one number from another subtraction
a math problem where two or more factors must be taken into account equation
a part of a whole number; tenths, hundreths, etc. decimal

## Math Terms Crossword Puzzle

Type
Crossword
Description

A two-termed polynomial is a __________. binomial
In a term, the sum of the exponents on the variables is the _______ __ __ ______ degreeofaterm
A _________ is an algebraic expression made by adding or subtracting terms. polynomial
The number that a variable is being multiplied with is called the __________. coefficient
An __________ is a mathematical statement that says two expressions are equal. equation
Numbers, variables, and the products of numbers and variables are all ______. terms
A term with no variables, that's value remains the same is a ________ _____ constantterm
A mathematical phrase with operators connecting numbers and variables is an _________. expression
A three-termed polynomial is a _________. trinomial
The degree of the term with the greatest degree is the _______ __ __ ________ degreeofapolynomial
Terms that have the same variable(s) raised to the same exponent(s) are ______ ______. liketerms
Terms with different variables, or the same variables raised to different exponents are ________ ______. unliketerms
A one-termed polynomial is a _________. monomial
A letter representing a number or value that can change or vary is a _________. variable
When the terms of a polynomial are ordered from highest to lowest degree is known as __________ ______. standardform
Numbers or variables that form a product are ________. factors

## Algebra 1 Crossword

Type
Crossword
Description

The set of the first numbers of the ordered pairs domain
Minus Subtraction
Please Excuse My Dear Aunt Sally orderofoperations
The ratio of the change in the y-coordinate (rise) to the change in the x-coordinate (run) slope
A mathematical sentence that contains an equal sign equation
A relation between input and output FUNCTION
Symbol used to represent unknown numbers or values variable
The form of a linear equation Ax + By = C, with a graph that is a straight line standard
The set of second numbers of the ordered pairs range
To find the value of an expression evaluate
The vertical number line on a coordinate plane yaxis
A comparison of two numbers by division ratio
To draw or lot the oints named by certain numbers or ordered pairs on a number line or coordinate plane graph
The numbers that correspond to a point on a coordinate system coordinates
A point where the graph intersects an axis intercept
The horizontal number line on a coordinate plane xaxis
The point (0,0) origin
The answer when multiplying product
A polynomial with two terms binomial
Distance around the outside perimeter
To shift a graph vertically or horizontally translation

## Equations and Inequalities Crossword

Type
Crossword
Description

A number, a variable, of the product of numbers and variables TERM
A number that is multiplied by a variable COEFFICENT
A term with a variable raised to the same power LIKE TERMS
A property which is used to multiply a single term (two or more) insisde a set of parenthesis DISTRIBUTIVE PROPERTY
A letter that represents a number VARIABLE
A number on it's own CONSTANT
The power to a number or expression that is to be raised EXPONENT
When there is no value of "x" that could ever make it true NO SOLUTION
When "x" has more than one solution INFINITE SOLUTION
When "x" is equall to one exact number ONE SOLUTION
< LESS THAN
> GREATER THAN
A whole number that is not a fraction INTERGER
Making the problem smaller SIMPLIFYING
Replacing "x" for a number SUBSTITUTION