Question

What expression is equivalent to -0.8(1.4x - 22 + 11.6 x) And What expressions are equivalent to 6.9x + 5.85(-8x - 8.6) + (x + 10.6)

Answer 1

To find the equivalent of the given expression, we proceed as follows:

- The given expression is:

`-0.8(1.4x-22+11.6x)`

- Multiply the numbers in the bracket by -0.8

`\begin{gathered} -0.8(1.4x-22+11.6x) \\ (-0.8)1.4x-(-0.8)22+(-0.8)11.6x \\ -1.12x^{}+17.6-9.28x \end{gathered}`

- Now, collect like terms, and add or subtract as necessary

`\begin{gathered} -1.12x^{}+17.6-9.28x \\ -1.12x^{}-9.28x+17.6 \\ -10.4x+17.6 \end{gathered}`

Therefore, the correct answer is -10.4x + 17.6 (OptionB)