8th grade 11/13

Front

What is a system of linear equations?

Back

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

Front

How do you solve a system of linear equations using substitution?

Back

To solve using substitution, solve one equation for one variable, then substitute that expression into the other equation to find the value of the second variable.

Front

What does it mean for a graph to be proportional?

Back

A graph is proportional if it passes through the origin (0,0) and has a constant ratio between the variables, indicating a direct relationship.

Front

What is the slope-intercept form of a linear equation?

Back

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

Front

How do you find the y-intercept of a linear equation?

Back

To find the y-intercept, set x = 0 in the equation and solve for y.

Front

What is the meaning of the solution to a system of equations?

Back

The solution represents the point(s) where the equations intersect, indicating the values of the variables that satisfy all equations in the system.

Front

What is a proportional relationship?

Back

A proportional relationship is one where two quantities maintain a constant ratio, meaning as one quantity increases, the other increases at a consistent rate.

Front

How can you represent a real-world situation with a system of equations?

Back

You can represent a real-world situation by defining variables for the quantities involved and writing equations based on the relationships and constraints given in the problem.

Front

What is the first step in solving a word problem involving rates?

Back

Identify the variables that represent the quantities involved and write an equation based on the relationships described in the problem.

Front

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

Back

If a system has no solution, it means the lines represented by the equations are parallel and never intersect.