Geometry Diagnostic Test

Front

What is a solution to a system of equations?

Back

A solution to a system of equations is a set of values for the variables that makes all equations true simultaneously.

Front

How do you determine if a point is a solution to a system of equations?

Back

Substitute the coordinates of the point into each equation. If both equations are satisfied, the point is a solution.

Front

Solve for x: 3(x - 2) = 9

Back

x = 5

Front

What is probability?

Back

Probability is a measure of the likelihood that an event will occur, expressed as a number between 0 and 1.

Front

How do you calculate the probability of an event?

Back

Probability = (Number of favorable outcomes) / (Total number of outcomes).

Front

What is an ordered pair in geometry?

Back

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

Front

What does the square root symbol (√) represent?

Back

The square root symbol represents a value that, when multiplied by itself, gives the original number.

Front

Calculate √45.

Back

√45 = 3√5.

Front

What is the significance of the coordinates (x, y)?

Back

The x-coordinate represents the horizontal position, while the y-coordinate represents the vertical position of a point in a Cartesian plane.

Front

What is the formula for the slope of a line?

Back

Slope (m) = (y2 - y1) / (x2 - x1).