Unit 5 Foundations Systems of Equations and Inequalities Review

Front

What is a system of equations?

Back

A set of two or more equations with the same variables. Solutions are the points where the equations intersect.

Front

What does it mean if a system of equations has no solution?

Back

It means the lines represented by the equations are parallel and never intersect.

Front

What does it mean if a system of equations has infinite solutions?

Back

It means the equations represent the same line, so every point on the line is a solution.

Front

How do you find the equation of the line of best fit?

Back

Use statistical methods like least squares regression to minimize the distance between the data points and the line.

Front

What is the formula for the slope-intercept form of a line?

Back

y = mx + b, where m is the slope and b is the y-intercept.

Front

How do you solve a system of equations using elimination?

Back

Add or subtract the equations to eliminate one variable, then solve for the remaining variable.

Front

What is the correlation coefficient?

Back

A statistical measure that describes the strength and direction of a relationship between two variables.

Front

What does a strong positive correlation indicate?

Back

As one variable increases, the other variable also increases significantly.

Front

What is the total number of legs in a system of animals with horses and chickens?

Back

Horses have 4 legs and chickens have 2 legs. The total legs can be calculated using the equation: 4h + 2c = total legs.

Front

How do you represent a word problem as a system of equations?

Back

Identify the variables, set up equations based on the relationships described in the problem.