Algebra Leap Review, Topic 3 and 4

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 determine the slope from a linear equation?

Back

The slope (m) can be determined from the equation in slope-intercept form (y = mx + b) as the coefficient of x.

Front

What does a positive slope indicate about a linear relationship?

Back

A positive slope indicates that as x increases, y also increases, showing a direct relationship.

Front

What does a negative slope indicate about a linear relationship?

Back

A negative slope indicates that as x increases, y decreases, showing an inverse relationship.

Front

What is a linear function?

Back

A linear function is a function that graphs to a straight line and can be expressed in the form f(x) = mx + b.

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, represented by the value of b in the equation y = mx + b.

Front

How do you find the solution to a system of equations?

Back

The solution to a system of equations is the point where the graphs of the equations intersect.

Front

What does the correlation coefficient (r) indicate?

Back

The correlation coefficient (r) indicates the strength and direction of a linear relationship between two variables.

Front

What does an r-value of -0.1847 suggest about the correlation?

Back

An r-value of -0.1847 suggests a weak negative correlation between the two variables.

Front

What is the significance of matching inequalities in a graph?

Back

Matching inequalities in a graph helps to identify the region that satisfies all conditions of the inequalities.