Question

Write at least 6 equivalent expressions to the expression below.

12x - 6

Answer 1

1. 12x - 6
2. 12x + (-6)
3. 12(x) + (-1)(6)
4. 12(x - 0.5)
5. 12x + (-1)(-6)
6. 12(x - 1/2)

Explanation:

Here are six equivalent expressions to the given expression:

1. 12x - 6
2. 12x + (-6)
3. 12(x) + (-1)(6)
4. 12(x - 0.5)
5. 12x + (-1)(-6)
6. 12(x - 1/2)

Note that in each of the above expressions, the value of 12x - 6 is preserved, but the terms and the order of operations may be different. For example, in the second expression, the subtraction has been expressed as addition with a negative number, and in the fourth and sixth expressions, the subtraction has been expressed as multiplication with a fraction.

Answer 2

Here are six equivalent expressions to 12x - 6:

6(2x - 1)

3(4x - 2)

2(6x - 3)

1(12x - 6)

4(3x - 1)

(12x - 6) + 0

These expressions are all equivalent to 12x - 6 because they all have the same value, regardless of the value of x. This is because the terms on the right side of the equation cancel out, leaving only the constant value on the left side. For example, in the first expression, 6(2x - 1), the 2x and -1 terms cancel out, leaving only 6. This is the same for the other expressions listed above.

Explanation: