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What is artificial variable?

This are variable introduce into equation as well as to inequality where a surplus variable is introduced.


What is slack variable?

Slack variable is a variable that is added to a constraint to switch form an inequality to equatlity equation.


Can you solve for a variable in an expression?

No, you can only simplify an expression. To solve for a variable, it must be in an equation.


When can you say that a number is called a solution in algebraic expression?

An algebraic equation or inequality can have a solution, an algebraic expression cannot. If substituting a number in place of a variable results in the equation or inequality being a true statement, then that number is a solution of the equation or inequality.


What do you do when you have a negative variable?

When you have a negative variable in an equation that you are trying to solve for, you multiply each side of the equation by -1. If it is an inequality such as <, you would flip the sign to > and vice versa.


What is the number that can replace a variable?

Answer 1 == In an open sentence (an equation or inequality with a variable in it), when a number replacing the variable makes the sentence true, then it is a solution.


Get a variable alone on one side of an equation or inquality in order to solve the equation or inequality?

To isolate a variable in an equation or inequality, you need to perform inverse operations to both sides. Start by eliminating any constants added or subtracted from the variable, followed by dividing or multiplying to remove coefficients. Ensure to maintain the equality or inequality by performing the same operations on both sides. Finally, simplify the expression to get the variable alone on one side.


What is it called when a when you get a variable alone on one side of an equation or inequality in order to solve the equation or inequality?

each of the four regions created on the coordinate plane by the x- and y-axes.


A single element in an expression equation or inequality?

A single element in a mathematical equation is known as a variable. In algebra, a variable is usually a letter, like "X" or "Y," that is solved for.


How do you solve a linear equation of an inequality or equation?

To solve a linear equation or inequality, first isolate the variable on one side of the equation or inequality. For an equation, use operations like addition, subtraction, multiplication, or division to simplify until the variable is alone (e.g., (ax + b = c) becomes (x = (c-b)/a)). For an inequality, follow similar steps but remember to reverse the inequality sign if you multiply or divide by a negative number. Finally, express the solution in interval notation or as a graph on a number line, depending on the context.


How is solving for a specified variable in a formula similar to finding a solution for an equation or inequality?

With a formula, you know the variable's value, and you have to calculate the value of the function of it. With an equation, you know the function's value, and you have to calculate the value of the variable.


How is solving for a specified variable in a formula different to finding a solution for an equation or inequality?

With a formula, you know the variable's value, and you have to calculate the value of the function of it. With an equation, you know the function's value, and you have to calculate the value of the variable.