Algebra Semester 1 Review

Front

What does the inequality y ≤ 2/5x + 1 represent graphically?

Back

It represents a region below or on the line y = 2/5x + 1, including the line itself.

Front

What does it mean if a system of linear equations has one solution?

Back

It means the two lines intersect at exactly one point.

Front

How do you determine where a function is decreasing?

Back

A function is decreasing where its derivative is negative, or visually, where the graph slopes downwards.

Front

Which point is NOT part of the solution set for the inequality y ≤ 2/5x + 1?

Back

(0, -2) is not part of the solution set.

Front

What does the inequality y ≥ -3/4x + 3 indicate about the graph?

Back

It indicates the region above or on the line y = -3/4x + 3, including the line itself.

Front

What is the slope of the line represented by the equation y = mx + b?

Back

The slope is represented by 'm' in the equation.

Front

What does it mean for two lines to be parallel in terms of their slopes?

Back

Two lines are parallel if they have the same slope but different y-intercepts.

Front

How can you identify if a function is increasing on a given interval?

Back

A function is increasing on an interval if the output values rise as the input values increase.

Front

What is the significance of the y-intercept 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 y = mx + b.

Front

What does it mean for a system of equations to have no solution?

Back

It means the lines are parallel and never intersect.