Algebra Cumulative Review 12/11

Front

What is an inequality?

Back

An inequality is a mathematical statement that compares two expressions and shows that one is greater than, less than, greater than or equal to, or less than or equal to the other.

Front

How do you find the y-intercept of a linear equation?

Back

To find the y-intercept of a linear equation in the form y = mx + b, set x = 0 and solve for y. The value of y when x is 0 is the y-intercept.

Front

What does the slope of a line represent?

Back

The slope of a line represents the rate of change of y with respect to x. It indicates how steep the line is and the direction it goes (positive or negative).

Front

What is slope-intercept form?

Back

Slope-intercept form is a way of writing the equation of a line as y = mx + b, where m is the slope and b is the y-intercept.

Front

How do you write an inequality in interval notation?

Back

To write an inequality in interval notation, identify the range of values that satisfy the inequality and express it using parentheses for open intervals and brackets for closed intervals.

Front

What is the difference between 'and' and 'or' in compound inequalities?

Back

In compound inequalities, 'and' means both conditions must be true simultaneously, while 'or' means at least one of the conditions must be true.

Front

How do you graph an inequality on a number line?

Back

To graph an inequality on a number line, use an open circle for < or > (not including the number) and a closed circle for ≤ or ≥ (including the number). Shade the appropriate direction.

Front

What does the notation (-∞, 3) mean?

Back

The notation (-∞, 3) represents all real numbers less than 3, extending infinitely in the negative direction.

Front

What is the significance of the y-intercept in a graph?

Back

The y-intercept is the point where the graph crosses the y-axis, indicating the value of y when x is 0.

Front

How do you determine if a point lies on a line represented by an equation?

Back

To determine if a point (x, y) lies on a line, substitute the x-value into the equation and see if the resulting y-value matches the y-value of the point.