Equations and Inequalities Vocabulary
Addition Property of Equality- If \(a = b\), then \(a + c = b + c\)
Distributive Property of Equality- \(a(b + c) = ab + ac\)
Division Property of Equality- If \(a=b\), then \( \frac{a}{c}=\frac{b}{c} \) where \(c \neq 0\)
Equivalent Expressions- Expressions that have the same value
Equivalent Equations- Equations that have the same solutions
Literal Equation- An equation where the variables represent known values
Multiplication Property of Equality- If \(a = b\), then \( a \cdot c \) = \(b \cdot c\)
Subtraction Property of Equality- If \(a=b\), then \( a-c = b-c \)
Symmetric Property of Equality- If \(a = b\), then \(b = a\)
Distributive Property of Equality- \(a(b + c) = ab + ac\)
Division Property of Equality- If \(a=b\), then \( \frac{a}{c}=\frac{b}{c} \) where \(c \neq 0\)
Equivalent Expressions- Expressions that have the same value
Equivalent Equations- Equations that have the same solutions
Literal Equation- An equation where the variables represent known values
Multiplication Property of Equality- If \(a = b\), then \( a \cdot c \) = \(b \cdot c\)
Subtraction Property of Equality- If \(a=b\), then \( a-c = b-c \)
Symmetric Property of Equality- If \(a = b\), then \(b = a\)