2024 1st Semester Test

Front

What is a system of equations?

Back

A set of two or more equations with the same variables. Solutions are the points where the equations intersect.

Front

What does it mean if a system of equations has no solution?

Back

It means the lines represented by the equations are parallel and never intersect.

Front

How do you find the slope of a line given two points?

Back

Use the formula: slope (m) = (y2 - y1) / (x2 - x1).

Front

What is the slope-intercept form of a linear equation?

Back

The slope-intercept form is given by: y = mx + b, where m is the slope and b is the y-intercept.

Front

What does the slope of a line represent?

Back

The slope represents the rate of change of y with respect to x; it indicates the steepness and direction of the line.

Front

How do you determine the equation of a line given a point and a slope?

Back

Use the point-slope form: y - y1 = m(x - x1), where (x1, y1) is the point and m is the slope.

Front

What is the vertex form of a quadratic function?

Back

The vertex form is given by: f(x) = a(x - h)^2 + k, where (h, k) is the vertex of the parabola.

Front

What does the term 'absolute value' mean in mathematics?

Back

The absolute value of a number is its distance from zero on the number line, regardless of direction.

Front

What is the significance of the y-intercept in a linear equation?

Back

The y-intercept is the point where the line crosses the y-axis, indicating the value of y when x = 0.

Front

How can you identify a quadratic function from its graph?

Back

A quadratic function's graph is a parabola, which opens upwards or downwards.