one solution, no solution, infinite solutions

Front

What are the three types of solutions for linear equations?

Back

One solution, no solution, infinite solutions.

Tags

CCSS.8.EE.C.8B

Front

What does it mean if a linear equation has infinite solutions?

Back

It means that the two sides of the equation are equivalent for all values of the variable.

Tags

CCSS.8.EE.C.7A

Front

How can you determine if a linear equation has no solution?

Back

If the equation simplifies to a false statement, such as 0 = 5.

Tags

CCSS.8.EE.C.7A

Front

What is the first step in solving a linear equation?

Back

Isolate the variable by performing inverse operations.

Tags

CCSS.7.EE.B.4A

Front

What does it mean if two equations are equivalent?

Back

They represent the same line on a graph and have the same solution set.

Tags

CCSS.8.EE.C.8B

Front

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

Back

The slope indicates the steepness of the line and the direction of the relationship between the variables.

Tags

CCSS.8.EE.B.5

Front

What is 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 is 0.

Front

How do you check if your solution to a linear equation is correct?

Back

Substitute the solution back into the original equation to see if both sides are equal.

Front

What is the general form of a linear equation?

Back

Ax + By = C, where A, B, and C are constants.

Front

What is the difference between a consistent and inconsistent system of equations?

Back

A consistent system has at least one solution, while an inconsistent system has no solutions.

Tags

CCSS.8.EE.C.8B