Is it a Solution??

Front

What is a solution in mathematics?

Back

A solution is a value that satisfies an equation or inequality.

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 is an expression?

Back

An expression is a combination of numbers, variables, and operators (like +, -, *, /) that represents a value but does not include an equality sign.

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 does it mean for an equation to be true?

Back

An equation is true if the left-hand side equals the right-hand side when the variables are replaced with their values.

Front

What is the difference between an equation and an expression?

Back

An equation includes an equality sign and states that two expressions are equal, while an expression does not.

Front

What is the first step in solving the equation 23 - 2n = 7(6n - 3)?

Back

Distribute the 7 on the right side: 23 - 2n = 42n - 21.

Front

If x + 6 = 14, what is the value of x?

Back

x = 14 - 6, so x = 8.

Front

What is the solution to the equation 3a - 14 = 22 when x = 12?

Back

Substituting x = 12 gives 3(12) - 14 = 22, which is true.

Front

What does it mean for a variable to be isolated in an equation?

Back

Isolating a variable means rearranging the equation so that the variable is on one side by itself.