Writing Equations with One Variable

Front

What is an equation?

Back

An equation is a mathematical statement that asserts the equality of two expressions, typically containing one or more 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 a variable in mathematics?

Back

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

Front

What is the purpose of writing equations?

Back

Writing equations helps to represent real-world situations mathematically, allowing us to solve problems and find unknown values.

Front

How do you isolate a variable in an equation?

Back

To isolate a variable, you perform operations to get the variable on one side of the equation and the constants on the other side.

Front

What is the equation for the sum of a number k and 5 equals 11?

Back

5 + k = 11.

Front

How do you write an equation for the difference between a number n and 217 equals 36?

Back

n - 217 = 36.

Front

What is the equation for 7 times a number a equals 42?

Back

7a = 42.

Front

How do you express that 4 is the quotient of 16 and a number n?

Back

4 = 16/n.

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 makes the equation true.