Understanding equations and solutions

Front

What is a constant in mathematics?

Back

A constant is a number that does not change; it stands alone without any variable attached.

Front

How do you determine if a value is a solution to an equation?

Back

Substitute the value into the equation and check if both sides are equal.

Front

What is the solution to the equation d + 9 = 25?

Back

The solution is d = 16.

Front

What is the solution to the equation c - 8 = 25?

Back

The solution is c = 33.

Front

Which equation has x = 9 as a solution?

Back

The equation is 5x = 45.

Front

How do you solve the equation c/2 = -14?

Back

Multiply both sides by 2 to get c = -28.

Front

What is an equation?

Back

An equation is a mathematical statement that asserts the equality of two expressions.

Front

What does it mean for a number to be a solution of an equation?

Back

It means that when the number is substituted for the variable, the equation holds true.

Front

What is the process of solving an equation called?

Back

The process is called algebraic manipulation or solving for the variable.

Front

What is the importance of isolating the variable in an equation?

Back

Isolating the variable allows you to find its value and understand the relationship between quantities.