MCAP Algebra 1 Review

Front

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

Back

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

Front

How do you find the slope of a line given two points (x1, y1) and (x2, y2)?

Back

The slope (m) is calculated as m = (y2 - y1) / (x2 - x1).

Front

What does it mean for a function to be linear?

Back

A linear function is a function that graphs to a straight line, which means it has a constant rate of change.

Front

What is the definition of a solution set in the context of inequalities?

Back

The solution set of an inequality is the set of all values that make the inequality true.

Front

How do you graph a linear equation in standard form (Ax + By = C)?

Back

To graph, find the x-intercept (set y=0) and y-intercept (set x=0), then plot these points and draw a line.

Front

What is the meaning of the y-intercept in a linear equation?

Back

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

Front

How do you convert an inequality into slope-intercept form?

Back

To convert, isolate y on one side of the inequality, resulting in y < mx + b or y > mx + b.

Front

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

Back

The slope indicates the steepness of the line and the direction of the relationship between x and y.

Front

What does it mean for a point to be a solution to an inequality?

Back

A point is a solution if it satisfies the inequality when substituted into the equation.

Front

How do you determine if a point lies above or below a line represented by an inequality?

Back

Substitute the point's coordinates into the inequality; if true, the point lies above; if false, it lies below.