Unit 4 DEUA Extra Credit/RETEST

Front

What is a system of equations?

Back

A system of equations is a set of two or more equations with the same variables. The solution is the point(s) where the equations intersect.

Front

How do you find the slope of a line from a table of values?

Back

The slope (m) is calculated as the change in y divided by the change in x (m = (y2 - y1) / (x2 - x1)).

Front

What is the y-intercept of a linear equation?

Back

The y-intercept is the value of y when x = 0. It is the point where the line crosses the y-axis.

Front

How do you solve for y in the equation 5x - y = 16?

Back

Rearranging gives y = 5x - 16.

Front

What does the solution (1, 3) represent in a system of equations?

Back

It represents the point where the two equations intersect, meaning x = 1 and y = 3 satisfy both equations.

Front

What is the purpose of a system of equations in real-world problems?

Back

To find the values of variables that satisfy multiple conditions or constraints simultaneously.

Front

How do you set up a system of equations from a word problem?

Back

Identify the variables, translate the problem into equations based on relationships described, and express constraints.

Front

Back

It represents a linear relationship between x and y, where the values of x and y satisfy this equation.

Front

Back

Rearranging gives y = 2 - (2/3)x.

Front

What is the significance of the coefficients in a linear equation?

Back

Coefficients represent the rate of change of the dependent variable with respect to the independent variable.