Equations

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 the principle of balancing equations?

Back

The principle of balancing equations states that whatever you do to one side of the equation, you must do to the other side to maintain equality.

Front

How do you isolate a variable in an equation?

Back

To isolate a variable, you perform inverse operations to get the variable alone on one side of the equation.

Front

What is the solution to the equation 6k = 30?

Back

The solution is k = 5, found by dividing both sides by 6.

Front

How do you solve for x in the equation x + 8 = -3?

Back

To solve for x, subtract 8 from both sides: x = -3 - 8, which simplifies to x = -11.

Front

What is the value of a in the equation 19 + a = -50?

Back

The value of a is -69, found by subtracting 19 from both sides: a = -50 - 19.

Front

What is the solution to the equation r - 11 = 5?

Back

The solution is r = 16, found by adding 11 to both sides.

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 is the difference between an expression and an equation?

Back

An expression is a combination of numbers, variables, and operations without an equality sign, while an equation includes an equality sign.