Semester A Exam 2024

Front

What is the relationship between two numbers if the second number is 3 more than the first?

Back

If the first number is represented as x, then the second number can be expressed as x + 3.

Front

What does it mean for the product of two numbers to be 9 more than their sum?

Back

If the two numbers are x and y, then the equation can be written as xy = x + y + 9.

Front

Which of the following is a function: {(-1, 3), (-2, 6), (0, 0), (0, -2, -2)}?

Back

This is not a function because the input 0 has two different outputs.

Front

What is the definition of a function?

Back

A function is a relation where each input has exactly one output.

Front

What is the range of a function?

Back

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

Front

What is the equation for the axis of symmetry in a quadratic function?

Back

The axis of symmetry can be found using the formula x = -b/(2a) for a quadratic in the form ax^2 + bx + c.

Front

How do you determine if a point is a solution to a system of equations?

Back

Substitute the point's coordinates into both equations. If both equations are satisfied, it is a solution.

Front

What does it mean if a system of equations has infinite solutions?

Back

It means that the equations represent the same line, and there are countless points that satisfy both equations.

Front

What is the significance of the vertex in a quadratic function?

Back

The vertex represents the highest or lowest point of the parabola, depending on its orientation.

Front

What is the standard form of a quadratic equation?

Back

The standard form is given by y = ax^2 + bx + c.