Make 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:
2 + 3 = 5
False equation:
2 x 4 = 10
Example of an open equation using variable x that requires two or more steps to solve:
4x + 7 = 19
True equation: 2 + 3 = 5
False equation: 4 x 6 = 30
Example of an open equation that requires two or more steps to solve:
4x + 7 = 19
Step 1: Subtract 7 from both sides of the equation:
4x + 7 - 7 = 19 - 7
4x = 12
Step 2: Divide both sides of the equation by 4:
4x / 4 = 12 / 4
x = 3
So the solution to the equation 4x + 7 = 19 is x = 3, which required two steps to solve.
Sure! Here’s an example of two equations—one that is true and one that is false:
1. True Equation: 3 + 2 = 5
Explanation: In this equation, we add 3 and 2, which equals 5. So, the statement is true.
2. False Equation: 4 × 7 = 26
Explanation: In this equation, we multiply 4 and 7, which equals 28, not 26. Therefore, the statement is false.
Now, let's move on to an open equation that requires multiple steps to solve. Consider the following equation:
3x + 7 = 16
Explanation: This is an open equation with the variable x. To solve it, we need to isolate x on one side of the equation.
Step 1: Subtract 7 from both sides to isolate the variable term:
3x = 16 - 7
3x = 9
Step 2: Divide both sides of the equation by 3 to solve for x:
x = 9/3
x = 3
By following these steps, we determined that x equals 3, which satisfies the original equation.