Properties of Equality

Front

What is the subtraction property of equality?

Back

The subtraction property of equality states that if you subtract the same number from both sides of an equation, the two sides remain equal.

Front

Provide an example of the subtraction property of equality.

Back

If 25 + d = 36, then 25 + d - 25 = 36 - 25.

Front

What is the addition property of equality?

Back

The addition property of equality states that if you add the same number to both sides of an equation, the two sides remain equal.

Front

Provide an example of the addition property of equality.

Back

If y - 12 = 30, then y - 12 + 12 = 30 + 12.

Front

How can the subtraction property of equality be applied to isolate a variable?

Back

To isolate a variable, you can subtract a constant from both sides of the equation.

Front

How can the addition property of equality be applied to isolate a variable?

Back

To isolate a variable, you can add a constant to both sides of the equation.

Front

What is the significance of properties of equality in solving equations?

Back

Properties of equality are fundamental rules that allow us to manipulate equations while maintaining their truth value.

Front

What is an equation?

Back

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

Front

What does it mean to isolate a variable in an equation?

Back

Isolating a variable means rearranging the equation so that the variable is on one side and all other terms are on the other side.

Front

What is the first step in solving the equation 5m + 4 = 19?

Back

The first step is to use the subtraction property of equality to subtract 4 from both sides.