91Ó°ÊÓ

Translate to an algebraic expression.[ 1.1] Nine more than twice a number

SYNTHESIS Write the sentence \((-x)^{2} \neq-x^{2}\) in words. Explain why \((-x)^{2}\) and \(-x^{2}\) are not equivalent.

Simplify. \(5 t-\\{7 t-[4 r-3(t-7)]+6 r\\}-4 r\)

Combine like terms. $$ -5+b-7-5 b $$

Combine like terms. $$ 14-(-5 x)+2 z-(-32)+4 z-2 x $$

The deepest point in the Pacific Ocean is the Challenger Deep in the Marianas Trench, with a depth of \(10,911.5 \mathrm{m}\). The deepest point in the Atlantic Ocean is the Milwaukee Deep in the Puerto Rico Trench, with a depth of \(8530 \mathrm{m} .\) What is the difference in elevation of the two trenches?

Find the prime factorization of 864

What must be true of \(m\) and \(n\) if \(-m n\) is to be (a) positive? (b) zero? (c) negative?

If \(n\) is positive and \(m\) is negative, what is the sign of \(n+(-m) ?\) Why?