AR Semester Exam

Front

What is a system of equations?

Back

A set of two or more equations with the same variables.

Front

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

Back

The lines representing the equations are parallel and never intersect.

Front

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

Back

y = mx + b, where m is the slope and b is the y-intercept.

Front

How do you find the slope of a line given two points (x1, y1) and (x2, y2)?

Back

Slope (m) = (y2 - y1) / (x2 - x1).

Front

What is the vertex of a parabola?

Back

The highest or lowest point on the graph of a quadratic function.

Front

What does the term 'axis of symmetry' refer to in a parabola?

Back

A vertical line that divides the parabola into two mirror-image halves.

Front

How do you solve for y in the equation 2x + y = 4?

Back

y = 4 - 2x.

Front

What is the y-intercept of the equation y = 4x + 3?

Back

The y-intercept is 3, which is the point where the line crosses the y-axis.

Front

What is a quadratic function?

Back

A function that can be expressed in the form f(x) = ax^2 + bx + c, where a ≠ 0.

Front

What does it mean for a line to be increasing?

Back

The slope of the line is positive, meaning as x increases, y also increases.