Math 8 Chapter 4 Pt. 2 Test Review

Front

What does the inequality x ≤ -2 represent on a number line?

Back

It represents all numbers less than or equal to -2, including -2 itself.

Front

In the linear equation y = 5x - 6, what does 'b' represent?

Back

'b' is the y-intercept of the line, which is -6.

Front

What does it mean if a graph is shaded above a line with a solid line?

Back

It means that the inequality is 'greater than or equal to' (≥), indicating that points on the line are included in the solution.

Front

What is the solution to the system of equations represented by the point (1, -1)?

Back

It is the point where the two lines intersect, meaning both equations are satisfied at this point.

Front

Identify the inequality represented by the graph that is shaded above a line.

Back

The inequality is y > x + 1.

Front

What is the meaning of a dashed line in a graph of an inequality?

Back

A dashed line indicates that the points on the line are not included in the solution (i.e., the inequality is strict: < or >).

Front

What does the slope of a line represent in a linear equation?

Back

The slope represents the rate of change of y with respect to x, indicating how steep the line is.

Front

How do you determine if a point is a solution to an inequality?

Back

Substitute the point's coordinates into the inequality; if the inequality holds true, the point is a solution.

Front

What is the difference between 'y ≤ mx + b' and 'y < mx + b'?

Back

'y ≤ mx + b' includes the line in the solution, while 'y < mx + b' does not.

Front

What does the term 'y-intercept' refer to in a linear equation?

Back

The y-intercept is the point where the line crosses the y-axis, represented by the value of 'b' in the equation y = mx + b.