Front

What is a system of equations?

Back

A system of equations is a set of two or more equations with the same variables. The solution to the system is the set of values that satisfy all equations simultaneously.

Front

How do you represent a word problem as a system of equations?

Back

To represent a word problem as a system of equations, identify the variables, translate the relationships and conditions described in the problem into equations, and ensure the equations reflect the same variables.

Front

What does it mean to solve a system of equations?

Back

Solving a system of equations means finding the values of the variables that make all equations in the system true at the same time.

Front

What is the substitution method in solving systems of equations?

Back

The substitution method involves solving one equation for one variable and then substituting that expression into the other equation to find the values of the variables.

Front

What is the elimination method in solving systems of equations?

Back

The elimination method involves adding or subtracting equations to eliminate one variable, making it easier to solve for the remaining variable.

Front

What is a linear equation?

Back

A linear equation is an equation that represents a straight line when graphed. It can be written in the form ax + by = c, where a, b, and c are constants.

Front

How can you check if your solution to a system of equations is correct?

Back

You can check your solution by substituting the values of the variables back into the original equations to see if they hold true.

Front

What is the significance of the coefficients in a system of equations?

Back

The coefficients in a system of equations represent the rate of change or the relationship between the variables in the context of the problem.

Front

What is a word problem?

Back

A word problem is a mathematical problem that is presented in a narrative form, requiring interpretation and translation into mathematical expressions or equations.

Front

How do you identify variables in a word problem?

Back

To identify variables in a word problem, look for quantities that can change or vary, and assign a symbol (like x or y) to represent each unknown quantity.