Writing Algebraic Equations

Front

What is an algebraic equation?

Back

An algebraic equation is a mathematical statement that shows the equality of two expressions, typically involving variables and constants.

Front

What does it mean to solve an algebraic equation?

Back

To solve an algebraic equation means to find the value of the variable that makes the equation true.

Front

What is the product of a number and a variable?

Back

The product of a number and a variable is represented by multiplying the number by the variable, e.g., 6m means 6 times m.

Front

How do you represent the sum of a number and a variable?

Back

The sum of a number and a variable is represented by adding the number to the variable, e.g., x + 16 means x increased by 16.

Front

What is the quotient of a variable and a number?

Back

The quotient of a variable and a number is represented by dividing the variable by the number, e.g., z/10 means z divided by 10.

Front

How do you write an equation for 'the product of 6 and m is 216'?

Back

The equation is 6m = 216.

Front

How do you write an equation for 'the quotient of z and 10 is equal to 32'?

Back

The equation is z/10 = 32.

Front

How do you write an equation for 'the sum of a number and 16 is 45'?

Back

The equation is x + 16 = 45.

Front

What is the solution to the equation x + 5 = 19?

Back

The solution is x = 14.

Front

What does it mean when an equation has a variable?

Back

It means that the equation can represent many different values depending on what the variable stands for.