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Level 76

Solving Algebraic Equations


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3
x + 1 = 4
15
x - 5 = 10
-1
x + 2 = 1
0
x + 0 = 0
2x+5=3
2x+5=11
Algebra is...
... the study of mathematical symbols and the rules for manipulating these symbols; it is a unifying thread of almost all of mathematics.
inverse operations
operations that undo each other
Variable
an alphabetic character representing a number, called the value, which is either arbitrary or not fully specified or unknown. It is usually a letter like x or y.
constant
A number without a variable
Integer
The set of whole numbers and their opposites.
fraction
a part of a whole
Rational Number
Any number that can be expressed as a ratio of two integers. Example; 6 can be expressed as 6/1, and 0.5 as 1/2.
inverse (opposite) operation
Operations that do the exact opposite of each other; they undo each other (addition and subtraction, for example)
Equation
A mathematical sentence that contains an equals sign
expression
A mathematical phrase without an equal sign.
Inverse
a + (-a) = 0 = (-a) + a OR a * 1/a = 1 = 1/a * a; a cant be 0
algebraic
A mathematical phrase that contains variable, numbers, and operation symbols
translate
change from one form into another
isolate
keep separate
Coefficient
the decimal part
constant
A value that does not change
distribute
multiply a sum by multiplying each addend separately and then add the products
terms
A number, a variable, or the product of a number and a variable
Like Terms
expressions that contain the same variables to the same power