NC Math 1 Midterm Review

Front

What is a parallel line?

Back

A parallel line is a line that runs alongside another line and never intersects it. In terms of equations, parallel lines have the same slope.

Front

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

Back

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

Front

How do you find the y-intercept of a linear equation?

Back

To find the y-intercept, set x = 0 in the equation and solve for y.

Front

What does the y-intercept represent in a real-world context?

Back

The y-intercept represents the initial value or starting point of a situation before any changes occur.

Front

What is the meaning of the slope in a linear function?

Back

The slope indicates the rate of change of the dependent variable with respect to the independent variable.

Front

How can you determine if a system of equations has one solution, no solution, or many solutions?

Back

If the lines intersect at one point, there is one solution. If the lines are parallel, there is no solution. If the lines are the same, there are many solutions.

Front

What is a function?

Back

A function is a relation that assigns exactly one output for each input.

Front

What does it mean for a function to be linear?

Back

A linear function is a function that graphs to a straight line, characterized by a constant rate of change.

Front

What is the significance of the initial height in a height function?

Back

The initial height represents the starting value of the height before any time has passed.

Front

What is the role of a constant in a linear equation?

Back

A constant in a linear equation represents the y-intercept, which is the value of y when x is zero.