Section 2, Topic 1: Equations - true/false

Front

What is an equation?

Back

An equation is a mathematical statement that shows the equality of two expressions, typically containing one or more variables.

Front

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

Back

A value is a solution to an equation if, when substituted for the variable, it makes the equation true.

Front

Is x = 0 a solution to the equation 4m - 4 = 4m?

Back

No, it is not a solution because substituting x = 0 does not satisfy the equation.

Front

What is the solution to the equation s ÷ 4 = 5 when s = 24?

Back

No, s = 24 is not a solution because 24 ÷ 4 = 6, which is not equal to 5.

Front

Is n = 9 a solution to the equation n - 2 = 7?

Back

Yes, it is a solution because substituting n = 9 gives 9 - 2 = 7, which is true.

Front

True or False: 3 + 1 = 4

Back

True, because the sum of 3 and 1 is indeed 4.

Front

When x = 6, is 3x = 18 true?

Back

True, because substituting x = 6 gives 3(6) = 18, which is correct.

Front

What is a variable in an equation?

Back

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

Front

What does it mean if an equation is balanced?

Back

An equation is balanced when both sides have the same value after simplification.

Front

What is the purpose of solving an equation?

Back

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