Solutions of Equations

Front

What is a solution of an equation?

Back

A solution of an equation is a value that makes the equation true when substituted for the variable.

Front

How do you isolate a variable in an equation?

Back

To isolate a variable, perform inverse operations to both sides of the equation until the variable is alone on one side.

Front

What is the first step to solve the equation 101.4 - d = 99.2?

Back

The first step is to subtract 99.2 from 101.4.

Front

What is the solution to the equation 18 + p = 25?

Back

p = 7.

Front

How can you check if a number is a solution to an equation?

Back

Substitute the number into the equation and see if both sides are equal.

Front

What does it mean if c = 9 is a solution to c + 11 = 20?

Back

It means that when you substitute c with 9, the equation holds true.

Front

What is the solution to the equation 39 + x = 50?

Back

x = 11.

Front

What is the result of substituting x = 8 into the equation x - 7 = 15?

Back

It results in 8 - 7 = 1, which is not equal to 15, so x = 8 is not a solution.

Front

What is an equation?

Back

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

Front

What is the purpose of solving an equation?

Back

The purpose is to find the value(s) of the variable(s) that make the equation true.