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26 Cards in this Set

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Algebraic Expression

An algebraic expression is made up of three things: numbers, variables, and operation signs such as + and -. No equal sign.


examples:


6x+3+h


4xz-7



Coefficient

The constant in a term. If it is one, often it is not written in the term.


examples: 4f,7y,3h,9o,3l,2s



Combining Like Terms

To add or subtract terms with the same variables.


examples


6a+8a


4+7


5y+7y








Complex Numbers

numbers with both real and imaginary parts example:4+2i,-3+2/3i,n




Constant

A number whose value never changes.


example:-7, 6,8, 9





Counting NUmbers

the natural numbers of the numbers used for counting


example:1,2,3,4,5,6,7






Decimals

numbers with non-whole number parts

example:6.4, 9.5, -8.7 with a bar over 7
Distributive Property

The distributive property states that multiplying a sum by a number gives the same result as multiplying each addend by the number and then adding the products together.


example


5(9+y)


45+5y


Equation

A mathematics statement that uses an equals sign to show that two expressions are equivalent.


example


6g+7=8y


8j+9=0


5d+y=89


Evaluate

Find the value of an algebraic expression by replacing the variable(s) with the correct numerical value(s) to perform the operation.


example


2x+3=21 (x=9)


2(9)+3=21


18+3=21


21=21


6y+7=49 (x=7)


6(7)+7=49


42+7=49


49=49


Imaginary Numbers

Numbers with negative square roots. Designated with the letter i.

examples:square root of -1 = i, square root of -4 = 2i
Inequalities

A mathematics statement that uses an inequality sign to show that two expressions are equivalent.


examples


7<=9


4x+89>=y



Integers

Whole numbers and their opposites.

examples:-5,-4,-3,-2,-1,0,1,2,3,4,5
Irrational Numbers

Numbers which are not rational, hence their decimals do not terminate or repeat.


examples:pi, e


Negative Integers

All real numbers that are less than zero.

examples:-6,-9,-8.4,-4.3
Positive Integers

All real numbers that are greater than zero.


examples:7, 3.4, 6, pi


Rational Numbers

All numbers which can be expressed as a/b where a and b are integers, but not zero.

examples:¾, -⅚ , -4.888
Real NUmbers

All rational and irrational numbers

examples:e, 6, -9/7 , pi, 4.6






Reapeating Decimals

Decimals that do not end, but have a pattern that repeats infinitely.

examples:.333, 16 with a bar over the one and the six
Simplify

To make an algebraic expression more simple.


examples:


6x+3x+9


9x+9


solve

To isolate one variable. Only used if there is an equal sign. example:y=87,u=9+7,v=p+3


substitution

To replace the variable(s) in an algebraic expression or a formula with concrete number(s)


example:x=9+uy


4x+y=9


4(9+uy)=9



Terminating Decimal
Decimals that end. example:6.7, 8.4, 5.8
Term

A group of constants and/or variables which are multiplied or divided. If there is more than one term in an expression or equation, they are separated by an addition, subtraction, or equal sign.


example:6w,7u,ui,8f,gh,zy,7o,kl


Whole Numbers
The counting numbers and zero. example:0,1,2,3
Variable

An unknown quantity usually represented by a lowercase letter.


example: 4h,8k,9l,3j