All No One Solutions

Front

What does it mean if an equation has infinite solutions?

Back

An equation has infinite solutions when any value of the variable satisfies the equation, meaning the two sides of the equation are equivalent for all values.

Front

What is the solution to the equation 3(x-8)=3x-24?

Back

Infinite Solutions

Front

How many solutions does the equation 3x - 7 = 2x - 7 - x have?

Back

One Solution

Front

What does it mean if an equation has no solution?

Back

An equation has no solution when there is no value of the variable that can satisfy the equation, meaning the two sides are never equal.

Front

What is the solution to the equation 2x + 1 = 2x - 1?

Back

No Solution

Front

Fill in the blank to make the equation have infinite solutions: 3x + 4 = __x + 4.

Back

3

Front

What is the solution to the equation 12(y+2)=6(2y+4)?

Back

Infinite Solutions

Front

What is a linear equation?

Back

A linear equation is an equation of the first degree, meaning it has no exponents greater than one and can be represented graphically as a straight line.

Front

What is the general form of a linear equation?

Back

The general form of a linear equation is Ax + By = C, where A, B, and C are constants.

Front

What does it mean for two equations to be equivalent?

Back

Two equations are equivalent if they have the same solution set, meaning they represent the same line when graphed.