MIX 2

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 is the set of values that satisfy all equations in the system.

Front

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

Back

Identify the variables, translate the relationships and conditions into equations, and ensure the equations reflect the problem's constraints.

Front

What does 'v' represent in the context of the van and bus problem?

Back

'v' represents the number of students in each van.

Front

What does 'b' represent in the context of the van and bus problem?

Back

'b' represents the number of students in each bus.

Front

What is the first equation for the Rivermont High School problem?

Back

11v + 3b = 283.

Front

What is the second equation for the Washington High School problem?

Back

12v + 14b = 770.

Front

What is the purpose of solving a system of equations?

Back

To find the values of the variables that satisfy all equations simultaneously.

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 other.

Front

What is the substitution method in solving systems of equations?

Back

The substitution method involves solving one equation for one variable and substituting that expression into the other equation.

Front

What is a consistent system of equations?

Back

A consistent system has at least one solution, meaning the equations intersect at one or more points.