Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

many ways write an equivalent expression to $50 - 35x$. then press \tes…

Question

many ways
write an equivalent expression to $50 - 35x$. then press \test 5 inputs\ to check your work.
repeat to write other equivalent expressions.

Explanation:

Step1: Factor out the GCF of 50 and 35

The greatest common factor (GCF) of 50 and 35 is 5. We can factor out 5 from each term.
For the first term, \( \frac{50}{5} = 10 \). For the second term, \( \frac{35x}{5} = 7x \).
So, \( 50 - 35x = 5(10 - 7x) \).

Step2: Verify (optional, but for understanding)

We can distribute the 5 back in: \( 5\times10 - 5\times7x = 50 - 35x \), which matches the original expression.

Answer:

\( 5(10 - 7x) \) (other equivalent expressions like \( -35x + 50 \) are also valid, but this is one example)