SB Lesson 2-4 Solving Equations w/no or infinite solutions

Front

What is an equation with infinite solutions?

Back

An equation that simplifies to a true statement for all values of the variable, such as 0 = 0.

Front

What does it mean if an equation has no solution?

Back

It means that there is no value for the variable that makes the equation true, such as 2 = 3.

Front

Solve: 3x - 7 = 3(x - 3) + 2

Back

Infinite Solutions

Front

Solve: 3x + 15 = 3(x + 5)

Back

Infinitely Many Solutions

Front

Solve: 6x + 9 - x = 3x + 9 + x

Back

One Solution

Front

What is the solution to the equation x² = 9?

Back

Two Solutions: x = 3 and x = -3.

Front

Solve: 5.5 - x = -4.5 - x

Back

No Solution

Front

What is a linear equation?

Back

An equation that makes a straight line when graphed, typically in the form y = mx + b.

Front

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

Back

The slope indicates the steepness of the line and the direction it goes (positive or negative).

Front

What does it mean for two equations to be equivalent?

Back

They have the same solution set, meaning they represent the same line when graphed.