1. Make up two equations, one that is true and one that is false. Do not state which equation is true and which is false. Your classmates will have to determine which is which.
2. Create an example of an open equation that uses the variable x and would require two or more steps to solve. Your classmates will have to determine which value of x makes the equation true.
2(3+2) = 3(2+2)
5*3 + 2*3 = (5+2)*3
2(x-3) = 3(x-4)
1. Equation 1: 3 + 4 = 7
Equation 2: 2 * 6 = 10
To determine which equation is true and which is false, we can simplify them.
Equation 1 simplifies to: 7 = 7.
Equation 2 simplifies to: 12 = 10.
From this, we can deduce that Equation 1 is true and Equation 2 is false. By checking that the simplified equations hold true, we can determine the truth values without explicitly stating them.
2. Example of an open equation: 2x + 5 = 15
To solve this equation, we need to isolate the variable x.
Step 1: Subtract 5 from both sides of the equation:
2x + 5 - 5 = 15 - 5
2x = 10
Step 2: Divide both sides of the equation by 2 to solve for x:
(2x) / 2 = 10 / 2
x = 5
Hence, x = 5 is the value that makes the equation true.
which one is true and which is false?
I did my part - you do yours.
Do the math! It will quickly become clear.
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