Equations ~ ONE SOLUTION, NO SOLUTION, INFINITELY MANY

Front

What is the definition of no solution?

Back

No matter what constant is substituted in for the variable, the equation will NEVER be true.

Front

What is the definition of infinite solutions?

Back

No matter what constant is substituted in for the variable, the equation is ALWAYS true.

Front

Solve the equation: 12x - 15 = 3(2x+3)

Back

x = 4

Front

Solve: 3x + 5 = 2x - 4

Back

x = -9

Front

Tell whether this equation has one, no or infinite solutions: 12 (x + 3 ) = 4 (2x + 9 ) +4x

Back

Infinite Solutions

Front

What does it mean if an equation has one solution?

Back

Only this ONE solution will make the equation true.

Front

Example of an equation with no solution: 2x + 3 = 2x + 5. What is the solution?

Back

No Solution.

Front

Example of an equation with infinite solutions: 4(x + 2) = 4x + 8. What is the solution?

Back

Infinite Solutions.

Front

What is the first step to solve the equation 5x - 10 = 0?

Back

Add 10 to both sides.

Front

What is the solution to the equation 7x + 2 = 23?

Back

x = 3.