Solving Equations and Properties of Multiplication

Front

What is an equation?

Back

An equation is a mathematical statement that asserts the equality of two expressions, typically containing variables and constants.

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 Commutative Property of Multiplication?

Back

The Commutative Property of Multiplication states that changing the order of the factors does not change the product. For example, 3 x 4 = 4 x 3.

Front

What is a factor?

Back

A factor is a number that is multiplied by another number to get a product.

Front

What is a product?

Back

A product is the result of multiplying two or more numbers together.

Front

If 7 x 8 = 56, what is 8 x 7?

Back

8 x 7 = 56, demonstrating the Commutative Property of Multiplication.

Front

What is the Associative Property of Multiplication?

Back

The Associative Property of Multiplication states that the way in which factors are grouped does not change the product. For example, (2 x 3) x 4 = 2 x (3 x 4).

Front

How do you check if an equation is correct?

Back

You can check if an equation is correct by substituting the solution back into the original equation to see if both sides are equal.

Front

What is the Distributive Property?

Back

The Distributive Property states that a(b + c) = ab + ac, meaning you can distribute a number across a sum.

Front

What is the value of x in the equation 2x = 10?

Back

x = 5, because dividing both sides by 2 gives x = 10/2.