Solving 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 9 = 2s + 1?

Back

Subtract 1 from both sides to isolate the term with the variable.

Front

How do you isolate a variable in an equation?

Back

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

Front

What is the solution to the equation 3 = 5x - 12?

Back

x = 3.

Front

What is the solution to the equation 0 = 8z + 8?

Back

z = -1.

Front

What operation would you perform first to solve -3x + 11 = 44?

Back

Subtract 11 from both sides.

Front

What is the value of x in the equation x / 2 - 5 = 3?

Back

x = 16.

Front

What does it mean to perform inverse operations?

Back

Inverse operations are operations that undo each other, such as addition and subtraction or multiplication and division.

Front

What is a variable in an equation?

Back

A variable is a symbol, often a letter, that represents an unknown value in an equation.