End of Year Assessment 8th Grade Math

Front

What does it mean if an equation has no solution?

Back

An equation has no solution when the two sides of the equation represent parallel lines that never intersect.

Front

What is the initial setup fee in a rental cost scenario?

Back

The initial setup fee is a fixed cost that is charged before any additional costs based on usage, such as hourly rates.

Front

How do you rotate a point 90° counterclockwise about the origin?

Back

To rotate a point (x, y) 90° counterclockwise, the new coordinates will be (-y, x).

Front

What happens to the coordinates of a point when it is reflected across the x-axis?

Back

When a point (x, y) is reflected across the x-axis, its new coordinates become (x, -y).

Front

What is the relationship between angles in a pair of vertical angles?

Back

Vertical angles are equal; if one angle measures 27°, the other angle opposite it also measures 27°.

Front

What is the formula for finding the slope of a line given two points?

Back

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

Front

What is the Pythagorean theorem?

Back

The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse (c) is equal to the sum of the squares of the lengths of the other two sides (a and b): a² + b² = c².

Front

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

Back

A rational number can be expressed as a fraction of two integers, while an irrational number cannot be expressed as a simple fraction.

Front

How do you find the area of a triangle?

Back

The area (A) of a triangle can be found using the formula A = 1/2 * base * height.

Front

What is the definition of a function in mathematics?

Back

A function is a relation that assigns exactly one output for each input.