Algebra 2 ACP Review Test

Front

What is a system of inequalities?

Back

A system of inequalities is a set of two or more inequalities with the same variables. The solution is the region where the graphs of the inequalities overlap on a coordinate plane.

Front

How do you determine the solution to a system of equations graphically?

Back

To determine the solution to a system of equations graphically, plot the equations on the same coordinate plane. The point(s) where the graphs intersect represent the solution(s) to the system.

Front

What transformation occurs when a function is reflected over the x-axis?

Back

When a function is reflected over the x-axis, the y-values of the function are multiplied by -1, resulting in a mirror image of the graph across the x-axis.

Front

What does it mean to compress a graph vertically?

Back

To compress a graph vertically means to reduce the distance between points on the graph towards the x-axis, typically by multiplying the function by a factor less than 1.

Front

What is the area of a rectangle?

Back

The area of a rectangle is calculated by multiplying its length by its width (Area = length × width).

Front

How do you find the width of a walkway around a rectangular garden?

Back

To find the width of a walkway around a rectangular garden, subtract the area of the garden from the area of the larger rectangle formed by the garden and walkway, then solve for the width.

Front

What is the domain of a function?

Back

The domain of a function is the set of all possible input values (x-values) for which the function is defined.

Front

What is the range of a function?

Back

The range of a function is the set of all possible output values (y-values) that the function can produce.

Front

What does it mean for a function to be stretched vertically?

Back

A function is stretched vertically when its output values are multiplied by a factor greater than 1, making the graph taller.

Front

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

Back

The intersection point in a system of equations represents the solution to the system, indicating the values of the variables that satisfy all equations simultaneously.