Systems of equations and inequalities

Front

What is a system of equations?

Back

A set of two or more equations with the same variables that are solved together.

Front

What does it mean for a system of equations to be consistent?

Back

A consistent system has at least one solution.

Front

What does it mean for a system of equations to be inconsistent?

Back

An inconsistent system has no solutions.

Front

What is the graphical representation of a system of inequalities?

Back

The solution is represented by the shaded region where the inequalities overlap.

Front

How do you solve a system of equations using substitution?

Back

Solve one equation for one variable and substitute that expression into the other equation.

Front

What is the elimination method for solving systems of equations?

Back

Add or subtract equations to eliminate one variable, making it easier to solve for the other.

Front

What is the solution to the system of equations y = 5x + 1 and y = 3x + 13?

Back

(6, 31)

Front

What is the meaning of 'mode' in a data set?

Back

The mode is the value that appears most frequently in a data set.

Front

What percent of data falls within 1 standard deviation of the mean in a normal distribution?

Back

Approximately 68%.

Front

What percent of data falls within 2 standard deviations of the mean in a normal distribution?

Back

Approximately 95%.