8TH GRADE MATH ACAP REVIEW

Front

What is the definition of an irrational number?

Back

An irrational number is a number that cannot be expressed as a fraction of two integers. Its decimal representation is non-repeating and non-terminating.

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 does the y-intercept represent in a linear equation?

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

How do you identify the initial value in a linear equation?

Back

The initial value is the constant term in the equation, which represents the y-value when x = 0.

Front

What is a transformation in geometry?

Back

A transformation is an operation that moves or changes a shape in some way, such as translation, rotation, reflection, or dilation.

Front

What is the formula for calculating 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 is the difference between a rational and an irrational number?

Back

Rational numbers can be expressed as a fraction of two integers, while irrational numbers cannot be expressed as such.

Front

What is the equation of a line with a slope of -3 and a y-intercept of 4?

Back

The equation is y = -3x + 4.

Front

What does it mean for a number to be a perfect square?

Back

A perfect square is an integer that is the square of another integer, such as 1, 4, 9, 16, etc.

Front

How do you find the area of a rectangle?

Back

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