Solving Equations

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 to solve an equation?

Back

To solve an equation means to find the value(s) of the variable(s) that make the equation true.

Front

What is the first step in solving the equation 4x + 3 = -5?

Back

Subtract 3 from both sides to isolate the term with the variable: 4x = -5 - 3.

Front

How do you isolate the variable in the equation 4x = -8?

Back

Divide both sides by 4 to solve for x: x = -8 / 4.

Front

What is the solution to the equation 7(2x - 4) = 42?

Back

x = 5.

Front

What is the principle of balancing equations?

Back

The principle of balancing equations states that whatever you do to one side of the equation, you must do to the other side to maintain equality.

Front

What does it mean if an equation has no solution?

Back

An equation has no solution if there are no values for the variable that can satisfy the equation.

Front

What is the solution to the equation -3a + 8 = 14?

Back

a = -2.

Front

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

Back

An equation has infinitely many solutions if any value of the variable satisfies the equation.

Front

What is the solution to the equation 3r - 5 = 2r?

Back

r = 5.