equations that have the same solution set and can be formed from one another using the properties of equality

a rule or relationship between quantities that is written as an equation

an equation containing more than one variable

properties of equality

the rules that allow the balancing, manipulating, and solving of equations (e.g., the addition property of equality states, “If x = y, then x + z = y + z”)

to take the place of; to replace

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Literal equations

Term	Definition
equivalent equations	equations that have the same solution set and can be formed from one another using the properties of equality
formula	a rule or relationship between quantities that is written as an equation
literal equation	an equation containing more than one variable
properties of equality	the rules that allow the balancing, manipulating, and solving of equations (e.g., the addition property of equality states, “If x = y, then x + z = y + z”)
substitute	to take the place of; to replace