Make up two equations, one that is true and one that is false. Create an example of an open equation that uses the variable x and would require two or more steps to solve.
True Equation: 3 + 4 = 7
False Equation: 2 x 6 = 12
Open Equation requiring two or more steps to solve: 5x + 2 = 17
Step 1: Subtract 2 from both sides of the equation:
5x + 2 - 2 = 17 - 2
5x = 15
Step 2: Divide both sides by 5 to solve for x:
5x/5 = 15/5
x = 3
Sure! Here are the equations:
True Equation: 2 + 3 = 5
This equation is true because when we add 2 to 3, the result is indeed 5.
False Equation: 4 * 6 = 25
This equation is false because when we multiply 4 by 6, the result is 24, not 25.
Open Equation: 3x + 2 = 14
This equation requires two or more steps to solve for x. Let's solve it step-by-step:
Step 1: Subtract 2 from both sides:
3x = 14 - 2
3x = 12
Step 2: Divide both sides by 3:
(3x)/3 = 12/3
x = 4
After two steps, we have found that x = 4 is the solution to the equation.
Sure! Here are the equations as you requested:
1. True Equation:
Let's take the equation: 2 + 3 = 5
In this equation, when we add 2 and 3, we get 5, which makes it a true equation.
2. False Equation:
We can consider the equation: 6 * 4 = 30
In this equation, when we multiply 6 and 4, we do not get 30, so it is a false equation.
Now, let's move on to an open equation that requires multiple steps to solve:
Open Equation:
Let's take the equation: 3x - 7 = 14
This equation is open because it contains the variable x, and we need to find the value of x to make the equation true. To solve this equation, follow these steps:
Step 1: Add 7 to both sides of the equation to isolate the term with x:
3x - 7 + 7 = 14 + 7
3x = 21
Step 2: Divide both sides of the equation by 3 to solve for x:
(3x)/3 = 21/3
x = 7
By performing these two steps, we find that x = 7, which is the solution to the given open equation.