1st Semester Algebra 1 Review

Front

What is the solution set for the inequality y < 1 - 6x?

Back

The solution set includes all coordinate pairs (x, y) that satisfy the inequality. For example, (-1, 1) is in the solution set.

Front

What happens to the inequality symbol when multiplying or dividing by a negative number?

Back

The inequality symbol must be flipped.

Front

What does HOY or VUX stand for in relation to writing equations?

Back

HOY stands for Horizontal lines (y = b) and VUX stands for Vertical lines (x = a).

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

Identify the slope-intercept form from the following options: y = 10x - 7, y - 5 = 3(x - 1), 5x - y = 12, 6x + 2y - 15 = 0.

Back

The slope-intercept form is y = 10x - 7.

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 is the y-intercept of the line represented by the equation y = 4x + 3?

Back

The y-intercept is 3.

Front

What does it mean for an equation to be in standard form?

Back

An equation is in standard form if it is written as Ax + By = C, where A, B, and C are integers.

Front

How can you determine if a point (x, y) is a solution to an inequality?

Back

Substitute the x and y values into the inequality. If the inequality holds true, then the point is a solution.

Front

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

Back

The slope indicates the steepness of the line and the direction it moves (positive slope goes up, negative slope goes down).