Solve for x in Algebraic Equations

Front

What is an algebraic equation?

Back

An algebraic equation is a mathematical statement that asserts the equality of two expressions, which can include numbers, variables, and operations.

Front

What does it mean to 'solve for x'?

Back

To 'solve for x' means to find the value of the variable x that makes the equation true.

Front

What is the first step in solving a simple algebraic equation?

Back

The first step is to isolate the variable on one side of the equation, often by using inverse operations.

Front

What is the inverse operation of addition?

Back

The inverse operation of addition is subtraction.

Front

What is the inverse operation of multiplication?

Back

The inverse operation of multiplication is division.

Front

If 2x + 3 = 11, what is the value of x?

Back

x = 4.

Front

If x/4 = 2, what is the value of x?

Back

x = 8.

Front

What is a coefficient in an algebraic expression?

Back

A coefficient is a numerical factor that multiplies a variable in an algebraic expression.

Front

What does it mean if an equation has no solution?

Back

An equation has no solution if there is no value for the variable that can satisfy the equation.

Front

What is a linear equation?

Back

A linear equation is an equation of the first degree, meaning it has no exponents greater than one and graphs as a straight line.