Unit 4 Review

Front

What is a system of equations?

Back

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

Front

How do you find the solution to a system of equations graphically?

Back

By plotting the equations on a graph and identifying the point(s) where they intersect.

Front

What does the rate of change represent in a table of values?

Back

The rate of change indicates how much one quantity changes in relation to another quantity.

Front

What is the formula for the slope of a line?

Back

Slope (m) = (change in y) / (change in x).

Front

In a word problem involving sales, how do you set up a system of equations?

Back

Identify the variables, create equations based on the relationships described, and include any constraints.

Front

What does the symbol '≥' indicate in an inequality?

Back

It indicates that the value can be greater than or equal to a certain number.

Front

How can you tell if a graph of an inequality will have a solid line?

Back

If the inequality symbol includes 'or equal to' (≥ or ≤), the line is solid.

Front

What is the significance of the y-intercept in a linear equation?

Back

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

Front

What are the steps to solve a system of equations using substitution?

Back

1. Solve one equation for one variable. 2. Substitute that expression into the other equation. 3. Solve for the remaining variable.

Front

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

Back

An inconsistent system has no solution, meaning the lines represented by the equations do not intersect.