Front

What is the price of one student ticket if 7 senior citizen tickets and 2 student tickets sold for a total of $112, and 3 senior citizen tickets and 4 student tickets sold for $92?

Back

The price of one student ticket is $14.

Front

How do you solve a system of equations?

Back

To solve a system of equations, you can use methods such as substitution, elimination, or graphing to find the values of the variables that satisfy all equations in the system.

Front

What does an ordered pair represent in a coordinate system?

Back

An ordered pair (x, y) represents a point in a two-dimensional space, where 'x' is the horizontal coordinate and 'y' is the vertical coordinate.

Front

What is the solution to the system of equations if the ordered pair is (0, -5)?

Back

The solution (0, -5) means that when x = 0, y = -5 satisfies both equations in the system.

Front

What is the significance of the solution (-6, 3) in a system of equations?

Back

The solution (-6, 3) indicates that both equations in the system intersect at the point (-6, 3) in the coordinate plane.

Front

What is a system of equations?

Back

A system of equations is a set of two or more equations with the same variables that are solved simultaneously.

Front

How can you verify if an ordered pair is a solution to a system of equations?

Back

To verify if an ordered pair is a solution, substitute the values of the ordered pair into each equation and check if both equations are true.

Front

What does it mean if two lines intersect at a point in a graph?

Back

If two lines intersect at a point, it means that the ordered pair corresponding to that point is the solution to the system of equations represented by those lines.

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 variable.

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.