Math 8 Semester 1 Study Guide

Front

What is the rate of change?

Back

The rate of change is a measure of how much a quantity changes in relation to another quantity. It is often represented as a slope in a graph.

Front

What does it mean to reflect a point over the y-axis?

Back

Reflecting a point over the y-axis means to flip the point across the y-axis, changing the sign of the x-coordinate while keeping the y-coordinate the same.

Front

How do you find the length of a missing side in a triangle?

Back

Use the Pythagorean theorem (a² + b² = c²) for right triangles, or apply the properties of similar triangles for other types.

Front

What is the definition of a y-intercept?

Back

The y-intercept is the point where a line crosses the y-axis, representing the value of y when x is zero.

Front

What does it mean to reflect a shape over the x-axis?

Back

Reflecting a shape over the x-axis means to flip the shape across the x-axis, changing the sign of the y-coordinates of all points.

Front

What is an ordered pair?

Back

An ordered pair is a pair of numbers used to represent a point in a coordinate system, written in the form (x, y).

Front

How do you determine the slope of a line?

Back

The slope of a line is determined by the formula (change in y) / (change in x) between two points on the line.

Front

What is the formula for the area of a rectangle?

Back

The area of a rectangle is calculated by multiplying its length by its width (Area = length × width).

Front

What is the difference between a reflection and a rotation in geometry?

Back

A reflection flips a shape over a line, while a rotation turns a shape around a fixed point.

Front

What is the significance of the x-intercept?

Back

The x-intercept is the point where a line crosses the x-axis, representing the value of x when y is zero.