1st Semester TEST Review 8th GRADE

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 slope between two points (x1, y1) and (x2, y2)?

Back

The slope (m) is calculated using the formula m = (y2 - y1) / (x2 - x1).

Front

What does it mean if two equations have no solution?

Back

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

Front

What does it mean if two equations have infinite solutions?

Back

It means that the equations represent the same line, so every point on the line is a solution.

Front

Solve for x: 5x - 14 = 8x + 4

Back

x = -6.

Front

What is the definition of a linear equation?

Back

A linear equation is an equation that makes a straight line when graphed, typically in the form Ax + By = C.

Front

What is the y-intercept of a line?

Back

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

Front

What is the significance of the slope in a linear equation?

Back

The slope indicates the steepness of the line and the direction it goes; a positive slope rises, while a negative slope falls.

Front

How can you determine if a system of equations has one solution?

Back

If the lines intersect at exactly one point, the system has one solution.

Front

What is the formula for calculating the slope of a line given two points?

Back

The formula is m = (y2 - y1) / (x2 - x1).