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One-Step Multiplication Equations
(a·x = b)
Equation Step 1 Solution
x  =   ⇒   x =
1
1
   ⇒   x = 1.00
x  =   ⇒   x =
4
3
   ⇒   x = 1.33
x  =   ⇒   x =
5
4
   ⇒   x = 1.25
x  =   ⇒   x =
6
8
   ⇒   x = 0.75
x  =   ⇒   x =
9
7
   ⇒   x = 1.29
x  =   ⇒   x =
10
8
   ⇒   x = 1.25
x  =   ⇒   x =
10
13
   ⇒   x = 0.77
x  =   ⇒   x =
14
11
   ⇒   x = 1.27
x  =   ⇒   x =
17
13
   ⇒   x = 1.31
x  =   ⇒   x =
14
18
   ⇒   x = 0.78
Equation Step 1 Solution
x  =   ⇒   x =
20
15
   ⇒   x = 1.33
x  =   ⇒   x =
22
17
   ⇒   x = 1.29
x  =   ⇒   x =
18
23
   ⇒   x = 0.78
x  =   ⇒   x =
26
20
   ⇒   x = 1.30
x  =   ⇒   x =
27
21
   ⇒   x = 1.29
x  =   ⇒   x =
22
29
   ⇒   x = 0.76
x  =   ⇒   x =
31
24
   ⇒   x = 1.29
x  =   ⇒   x =
32
25
   ⇒   x = 1.28
x  =   ⇒   x =
27
35
   ⇒   x = 0.77
x  =   ⇒   x =
36
28
   ⇒   x = 1.29

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What are One-Step Multiplication Equations?

A One-Step Multiplication Equation is a type of equation where the operation involved is multiplication, and solving the equation requires only one operation. The goal is to find the value of the variable (usually represented as x).

Example:

Consider the equation:

4x = 20

In this equation, 4x means that 4 is being multiplied by x, and we need to find the value of x that makes the equation true.

Process of Finding the Solution:

  1. Understand the equation:
    • x is the unknown number.
    • Multiplying x by 4 gives 20.
  2. Undo the multiplication:
    • To solve for x, you need to undo the multiplication by performing the opposite operation, which is division. This step isolates the variable.
    • Divide both sides of the equation by 4:

      4x = 20
      4 4

      Simplifying this gives:

      x = 5

  3. Check your solution:
    • Substitute x = 5 back into the original equation to verify:

      4 · 5 = 20
      20 = 20

    Since both sides are equal, your solution is correct!

Key Concept

Although the equation involves multiplication, you solve it by performing the opposite operation (division) to isolate the variable. It's called a One-Step Equation because only one operation (division in this case) is required to find the solution.


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