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 11 - 3x = 44?

Back

Subtract 11 from both sides.

Front

What is the solution to the equation 4y - 9 = -36?

Back

y = -4 is incorrect; the correct solution is y = -3.

Front

What is the inverse operation of addition?

Back

Subtraction.

Front

What is the inverse operation of multiplication?

Back

Division.

Front

How do you isolate a variable in an equation?

Back

You perform inverse operations to both sides of the equation until the variable is alone.

Front

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

Back

x = 5.

Front

What is the purpose of using inverse operations in solving equations?

Back

Inverse operations help to cancel out terms and isolate the variable.

Front

What is a variable in an equation?

Back

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