equations Equations EQUATIONS

Front

What is an equation?

Back

An equation is a mathematical statement that asserts the equality of two expressions, typically containing 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 3x + 2(4x - 4) = 3?

Back

Distribute the 2 to the terms inside the parentheses: 3x + 8x - 8 = 3.

Front

How do you isolate a variable in an equation?

Back

You can isolate a variable by performing inverse operations to both sides of the equation until the variable is alone on one side.

Front

What is the solution to the equation 8w - 8 = -4w + 16?

Back

The solution is w = 2.

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 3(x - 1) = 2x + 9?

Back

The solution is x = 12.

Front

How do you check if your solution to an equation is correct?

Back

You can check your solution by substituting it back into the original equation to see if both sides are equal.

Front

What is the solution to the equation 3c + 5 = 23?

Back

The solution is c = 6.

Front

What is the solution to the equation -11 = n - 6?

Back

The solution is n = -5.