Find equivalent expressions of 3 + 4x + 2x – 9 – 4x + 11 + 5x – x. Choose three expressions.
2x + 5
3x – 2 – x + 1
2x – 1 – 4x + 4
12x + 23
4x + 11 – 2x – 6
2x – x + 3 + x – 3 + 5
Find equivalent expressions of 3 + 4x + 2x – 9 – 4x + 11 + 5x – x. Choose three expressions.
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To find equivalent expressions for the expression (3 + 4x + 2x – 9 – 4x + 11 + 5x – x), we first simplify it step by step.
1. Combine like terms:
– Constant terms: (3 – 9 + 11 = 5)
– (x) terms: (4x + 2x – 4x + 5x – x = 6x)
So, the simplified expression is (6x + 5).
Now, let’s evaluate the provided options to see which are equivalent to (6x + 5):
1. Option 1: (2x + 5) (not equivalent)
2. Option 2: (3x – 2 – x + 1 = (3x – x) + (-2 + 1) = 2x – 1) (not equivalent)
3. Option 3: (2x – 1 – 4x + 4 = (2x – 4x) + (-1 + 4) = -2x + 3) (not equivalent)
4. Option 4: (12x + 23) (not equivalent)
5. Option 5: (4x + 11 – 2x – 6 = (4x – 2x