How Many Solutions??????

Front

What is a linear equation?

Back

A linear equation is an equation that makes a straight line when graphed. It can be written in the form ax + b = c, where a, b, and c are constants.

Front

What does it mean if an equation has no solution?

Back

An equation has no solution when there are no values for the variable that can satisfy the equation. This often occurs when the equations represent parallel lines.

Front

What is the solution to the equation 10x + 9 = 4x - 9?

Back

-3

Front

What does it mean if an equation has infinite solutions?

Back

An equation has infinite solutions when any value for the variable satisfies the equation. This occurs when the equations represent the same line.

Front

How do you isolate a variable in an equation?

Back

To isolate a variable, you perform inverse operations to get the variable alone on one side of the equation.

Front

What is the first step in solving the equation 2x + 3 = 11?

Back

Subtract 3 from both sides to get 2x = 8.

Front

What is the definition of a coefficient?

Back

A coefficient is a numerical factor in a term of an algebraic expression, such as the '10' in 10x.

Front

What is the difference between a solution and a root of an equation?

Back

A solution and a root refer to the same concept: the value(s) of the variable that make the equation true.

Front

What does it mean to graph an equation?

Back

Graphing an equation means plotting all the points that satisfy the equation on a coordinate plane.

Front

What is the solution to the equation 3x + 5 = 2x + 10?

Back

5.