Algebra Semester 1 Review 2022-2023 (Units 1-6)

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 find the slope between two points (x1, y1) and (x2, y2)?

Back

The slope (m) is calculated using the formula m = (y2 - y1) / (x2 - x1).

Front

What does it mean for two lines to be perpendicular?

Back

Two lines are perpendicular if the product of their slopes is -1.

Front

What is the y-intercept of the line y = 2x - 11?

Back

The y-intercept is -11, which is the value of y when x = 0.

Front

How do you write an equation from a table of values?

Back

Identify the slope (m) and y-intercept (b) from the table, then use the slope-intercept form y = mx + b.

Front

What is the range of a function?

Back

The range is the set of all possible output values (y-values) of a function.

Front

What is the difference between causation and association?

Back

Causation indicates that one event causes another, while association indicates a relationship without direct causation.

Front

How do you determine the slope of a line given its equation in standard form Ax + By = C?

Back

Rearrange the equation to slope-intercept form (y = mx + b) to identify the slope (m).

Front

What is the slope of the line perpendicular to y = -1/3x + 5?

Back

The slope of the perpendicular line is 3, which is the negative reciprocal of -1/3.

Front

How can you graph a linear equation?

Back

To graph a linear equation, find the y-intercept, plot it on the graph, and use the slope to find another point.