Write two different expressions that are equivalent to 4x + 2.
Expression 1: 2(2x + 1)
To obtain this expression, we can distribute the 2 to the terms inside the parentheses:
2(2x) + 2(1) = 4x + 2
Expression 2: 4(x) + 2
Since the coefficient of x is already 4, we can simply write 4x as 4(x):
4(x) + 2 = 4x + 2
To write two different expressions that are equivalent to 4x + 2, we can use the concept of algebraic properties. Let's start with the given expression:
1. Distributive Property: We can distribute the coefficient 4 to x and 2 separately.
Expression 1: 4x + 2 = 4 * x + 4 * 1 = 4x + 4
2. Combining Like Terms: We can combine the constant terms 2 and 4.
Expression 2: 4x + 2 = 4x + 4/2 = 4x + 2 * 2 = 4x + 4
Therefore, two different expressions equivalent to 4x + 2 are 4x + 4 and 4x + 4.
2(2x+1)
3x-1+x+3