8th Math: First Semester Review

Front

What is an inequality statement?

Back

An inequality statement is a mathematical expression that shows the relationship between two expressions that are not equal, using symbols like <, >, ≤, or ≥.

Front

How do you represent a cost comparison using an inequality?

Back

You can represent a cost comparison using an inequality by setting up an equation that shows one cost is less than or equal to another. For example, if one toy store charges a membership fee and a price per toy, you can express the total cost as an inequality.

Front

What does it mean for two triangles to be similar?

Back

Two triangles are similar if their corresponding angles are equal and their corresponding sides are in proportion.

Front

What is the slope of a line?

Back

The slope of a line is a measure of its steepness, calculated as the rise (change in y) over the run (change in x).

Front

What is the y-intercept of a graph?

Back

The y-intercept is the point where the graph of a function crosses the y-axis, represented as (0, y).

Front

How do you find the slope from a graph?

Back

To find the slope from a graph, select two points on the line, calculate the rise (difference in y-coordinates) and the run (difference in x-coordinates), and divide the rise by the run.

Front

What is the equation of a line in slope-intercept form?

Back

The equation of a line in slope-intercept form is written as y = mx + b, where m is the slope and b is the y-intercept.

Front

What does the translation of a shape mean in geometry?

Back

Translation in geometry refers to moving a shape from one position to another without changing its size, shape, or orientation.

Front

How do you express a translation rule?

Back

A translation rule is expressed as (x + a, y + b), where 'a' is the horizontal shift and 'b' is the vertical shift.

Front

What is the significance of the membership fee in a cost comparison?

Back

The membership fee is a fixed cost that must be added to the variable costs (like the price per toy) when comparing total costs between different options.