Simplify the following expression as far as possible. 1. 9x - 2x .2. -3y - 30y . .3. 2a - 9a
1.
9 x - 2 x = 7 x
2.
- 3 y - 30 y = - 33 y
3.
2 a - 9 a = - 7 a
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To simplify the given expressions, we need to combine like terms. Like terms are terms that have the same variable(s) raised to the same power(s). Let's simplify each expression step-by-step:
1. 9x - 2x:
To combine like terms, we subtract the coefficients of the x term:
9x - 2x = (9 - 2)x = 7x
Therefore, the simplified expression is 7x.
2. -3y - 30y:
Again, to combine like terms, we subtract the coefficients of the y term:
-3y - 30y = (-3 - 30)y = -33y
Thus, the simplified expression is -33y.
3. 2a - 9a:
Similar to the previous examples, we subtract the coefficients of the terms with the same variable:
2a - 9a = (2 - 9)a = -7a
Hence, the simplified expression is -7a.