0
What else can I help you with?
What is a statement that two numberical or variable expressions are equal?
equivalent equations
When replacing variable with constant?
Rewrite the expressions, equations or inequalities where the constant takes the place of each occurrence of the variable.
What does it mean for a coordinate pair to be a solution to a system of equations?
It means that if you replace one variable with one of the numbers, and the other variable with the other numbers, and then evaluate the expressions on each side of the equations, the equalities will be true.
What are expressions and equations?
Expressions are mathematical combinations of numbers, variables, and operations (like addition or multiplication) that do not include an equality sign, such as (3x + 2). Equations, on the other hand, are statements that assert the equality of two expressions, typically featuring an equal sign, such as (2x + 3 = 7). While expressions can be simplified or evaluated, equations can be solved to find the value of the unknown variable.
What is an advantage to using equations?
When given two names (variable expressions) for the same quantity, you can use algebra to solve the equation.
What is an advantage to using what equations?
When given two names (variable expressions) for the same quantity, you can use algebra to solve the equation.
What is the difference between algebra equations and expressions?
expressions don't have an equal sign and equations do
What is multiplied with the variable?
In algebra, the term "multiplied with the variable" refers to a coefficient, which is a number or expression that is multiplied by a variable. For example, in the expression (5x), the coefficient is 5, and it indicates that the variable (x) is multiplied by 5. This operation is fundamental in forming algebraic expressions and equations.
How are equations and expression similar?
Equations are made from expressions.
What is a variable term?
A variable term is a component of an expression that includes a variable, which is a symbol representing an unknown value, often denoted by letters such as x or y. Variable terms can be combined with coefficients (numerical factors) to form algebraic expressions, such as 3x or -5y. In contrast, constant terms are numbers without variables. Together, variable and constant terms form the building blocks of algebraic equations and expressions.
Can you explain the significance of the keyword "1x-9" in the context of algebraic expressions?
In algebraic expressions, the keyword "1x-9" represents a linear equation with one variable (x) and a constant term (-9). This expression is significant because it helps to simplify and solve equations by isolating the variable and finding its value.
What is a number that does not stand by itself it is attached to the variable?
A number that does not stand by itself and is attached to a variable is called a coefficient. For example, in the expression (3x), the number 3 is the coefficient of the variable (x). It indicates how many times the variable is multiplied. Coefficients play a crucial role in algebraic expressions and equations.
