30 Times What Equals 120?

30 Times What Equals 120?

To find what number, when multiplied by 30, equals 120, you can set up an equation:

30x = 120.

Now, divide both sides of the equation by 30 to isolate x:

x = 120 / 30 = 4.

So, 30 times 4 equals 120, and the value of x is 4.

Solving a Multiplicative Equation

In algebra, we can represent an unknown number using a variable like x. Equations with variables can be solved to find the value of the variable that makes the equation true. When the equation involves multiplication, we can use division to isolate the unknown value.

Let’s examine how to solve the equation 30 * x = 120 step-by-step:

Analyzing the Equation

30 * x = 120

This is a multiplication equation with:

  • 30 as the known factor
  • x as the unknown factor
  • 120 as the known product

To solve, we need to find what value of x makes 30 * x = 120 a true statement.

Using Division

To isolate x, we can divide both sides of the equation by 30:

30 * x = 120 (Divide both sides by 30) x = 120/30

This gives x = 4

Checking the Solution

We can verify that x = 4 is the correct solution by substituting it back into the original equation:

30 * 4 = 120 120 = 120 ✅

Since 30 * 4 does equal 120, this confirms that the value of x that makes the equation true is 4.

Understanding Equations

Equations with variables represent mathematical relationships where one value is unknown. Multiplicative equations can be solved through division to find the value of the variable that satisfies the equality.

Practicing solving simple algebraic equations like 30x = k builds the foundation for rearranging more complex formulas and equations down the road.

In summary, to solve a multiplication equation with one unknown, isolate the variable by dividing both sides of the equation by the known factor. Checking the solution is a good way to verify the result.

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