One Solution, No Solution, Infinite Solutions

Front

What does it mean if an equation has one solution?

Back

Only this ONE solution will make the equation true.

Front

What does it mean if an equation has no solution?

Back

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

Front

What does it mean if an equation has infinite solutions?

Back

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

Front

Simplify the equation: 3x - 7 = 3(x - 3) + 2. What type of solution does it have?

Back

Infinite solutions.

Front

Solve the equation: 14 - 2(3p + 1) = 6(4 + p). What type of solution does it have?

Back

One solution.

Front

Solve the equation: 2x + 3 = 2x + 5. What type of solution does it have?

Back

No solution.

Front

Solve the equation: 5(x - 2) = 5x - 10. What type of solution does it have?

Back

Infinite solutions.

Front

What is an example of an equation with one solution?

Back

x + 2 = 5 (Solution: x = 3).

Front

What is an example of an equation with no solution?

Back

x + 1 = x + 2 (No value of x will satisfy this equation).

Front

What is an example of an equation with infinite solutions?

Back

2(x + 1) = 2x + 2 (True for all x).