5.3 Systems/Abs Skill Check

Front

What is the solution to the system of equations?

Back

The solution is the point where the equations intersect. For example, (1,3) is a solution.

Front

How do you solve a system of equations by graphing?

Back

Graph each equation on the same coordinate plane and identify the point(s) where they intersect.

Front

What is the equation of the absolute value function?

Back

The general form is f(x) = |x - h| + k, where (h,k) is the vertex.

Front

What does a transformation of 'right 3, up 2' mean for a function?

Back

It means to shift the graph 3 units to the right and 2 units up.

Front

What are the possible types of solutions for a system of equations?

Back

One Solution, No Solution, Infinitely Many Solutions.

Front

What does 'infinitely many solutions' indicate about a system of equations?

Back

It indicates that the equations represent the same line, thus every point on the line is a solution.

Front

What is the significance of the intersection point in a system of equations?

Back

The intersection point represents the solution to the system, where both equations are satisfied.

Front

How can you identify a system with no solution?

Back

If the lines are parallel, they will never intersect, indicating no solution.

Front

What is the vertex of an absolute value function?

Back

The vertex is the point (h,k) in the equation f(x) = |x - h| + k, where the graph changes direction.

Front

What does the term 'transformation' refer to in graphing functions?

Back

Transformation refers to changes in the position, size, or orientation of the graph.