Equations with Special Solutions Practice

Front

What is an equation?

Back

An equation is a mathematical statement that asserts the equality of two expressions, typically containing one or more variables.

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.

Front

What does it mean if an equation has infinitely many solutions?

Back

An equation has infinitely many solutions when any value for the variable satisfies the equation.

Front

Solve: 4x + 1 = 8x - 3

Back

x = 1

Front

Solve: 3(x - 2) = 3x - 6

Back

infinitely many solutions

Front

What is a special solution in equations?

Back

A special solution refers to specific values of variables that satisfy the equation under certain conditions.

Front

When is an equation considered to have one solution?

Back

An equation is considered to have one solution when there is exactly one value for the variable that satisfies the equation.

Front

Solve: 10x + 3 + 3x = 5x + 1 + 8x + 2

Back

infinitely many solutions

Front

What is the principle of balancing equations?

Back

The principle of balancing equations states that you can perform the same operation on both sides of an equation without changing its equality.

Front

What does it mean to isolate a variable?

Back

To isolate a variable means to manipulate the equation so that the variable is on one side and all other terms are on the opposite side.