Algebra 1 Mid-Year Review

Front

What is the formula to calculate the slope of a line given two points (x1, y1) and (x2, y2)?

Back

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

Front

Find the slope of the line passing through the points (1, 2) and (2, 1).

Back

The slope is -1.

Front

What does a negative slope indicate about a line on a graph?

Back

A negative slope indicates that as the x-values increase, the y-values decrease, meaning the line falls from left to right.

Front

What is the y-intercept of a line?

Back

The y-intercept is the point where the line crosses the y-axis, represented as (0, b) in the equation y = mx + b.

Front

What is the difference between an equation and an inequality?

Back

An equation states that two expressions are equal, while an inequality shows the relationship between expressions that are not necessarily equal (e.g., <, >, ≤, ≥).

Front

How do you graph a linear equation in slope-intercept form?

Back

To graph a linear equation in the form y = mx + b, start at the y-intercept (0, b) and use the slope (m) to find another point.

Front

What does the symbol '≥' mean in an inequality?

Back

The symbol '≥' means 'greater than or equal to', indicating that the value on the left is either greater than or equal to the value on the right.

Front

Back

Front

What is the significance of the slope in a real-world context?

Back

The slope represents the rate of change, such as speed in a distance-time graph or cost per item in a price-quantity graph.

Front

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

Back

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