Solving Equations

Front

What is an equation?

Back

An equation is a mathematical statement that shows that two expressions are equal, often containing variables.

Front

What does it mean to solve an equation?

Back

To solve an equation means to find the value of the variable that makes the equation true.

Front

What is the Commutative Property?

Back

The Commutative Property states that the order of numbers does not change the sum or product. For example, a + b = b + a.

Front

What is the Associative Property?

Back

The Associative Property states that the way numbers are grouped does not change their sum or product. For example, (a + b) + c = a + (b + c).

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

How do you check if an equation is balanced?

Back

You check if both sides of the equation have the same value after substituting the variable with a number.

Front

What is the first step in solving the equation b - 12 = 19?

Back

The first step is to isolate the variable by adding 12 to both sides of the equation.

Front

What is the solution to the equation 15 + h = 28?

Back

The solution is h = 13, because 15 + 13 = 28.

Front

What is the value of 5^3?

Back

5^3 = 125, because 5 multiplied by itself three times is 5 x 5 x 5.

Front

What is the value of 4^3?

Back

4^3 = 64, because 4 multiplied by itself three times is 4 x 4 x 4.