Math 1 Midterm 2024-2025 Core 2

Front

What is the slope of a line?

Back

The slope of a line is a measure of its steepness, typically represented as 'm' in the slope-intercept form of a linear equation, which is given by the formula: m = (y2 - y1) / (x2 - x1).

Front

What is the y-intercept of a line?

Back

The y-intercept is the point where the line crosses the y-axis. It is represented as 'b' in the slope-intercept form of a linear equation, y = mx + b.

Front

Solve for x: 2x - 3 + 4x = 27

Back

x = 5

Front

What is the equation of a line in slope-intercept form?

Back

The slope-intercept form of a line is given by the equation y = mx + b, where m is the slope and b is the y-intercept.

Front

If the slope of a line is -7/4, what does this indicate about the line?

Back

A slope of -7/4 indicates that the line is decreasing, meaning as x increases, y decreases.

Front

What does it mean if two lines are parallel?

Back

Two lines are parallel if they have the same slope and will never intersect.

Front

What does it mean if two lines are perpendicular?

Back

Two lines are perpendicular if the product of their slopes is -1, indicating they intersect at a right angle.

Front

Given the system of equations x + y = 15 and 4x + 2y = 44, what do x and y represent?

Back

In this context, x represents the number of horses and y represents the number of chickens in the barn.

Front

What is the solution to the system of equations if the graphs do not intersect?

Back

If the graphs do not intersect, it means there are no solutions to the system of equations.

Front

What is a system of equations?

Back

A system of equations is a set of two or more equations with the same variables. The solution is the point(s) where the equations intersect.