91Ó°ÊÓ

Perform the following operations with real numbers. $$-1 \frac{1}{5}+3 \frac{4}{5}$$

Simplify the algebraic expressions in Problems \(15-34\) by removing parentheses and combining similar terms. $$-7(a+1)-9(a+4)$$

Simplify each numerical expression. Be sure to take advantage of the properties whenever they can be used to make the computations easier. $$(25)(-13)(4)$$

Perform the following operations with real numbers. $$4 \frac{1}{3}-\left(-1 \frac{1}{6}\right)$$

Simplify the algebraic expressions in Problems \(15-34\) by removing parentheses and combining similar terms. $$3\left(n^{2}+1\right)-8\left(n^{2}-1\right)$$

Use the following set designations. $$ \begin{aligned} &N=\\{x \mid x \text { is a natural number }\\} \\ &Q=\\{x \mid x \text { is a rational number }\\} \\ &W=\\{x \mid x \text { is a whole number }\\} \\ &H=\\{x \mid x \text { is an irrational number }\\} \\ &I=\\{x \mid x \text { is an integer }\\} \\ &R=\\{x \mid x \text { is a real number }\\} \end{aligned} $$ Place \(\subseteq\) or \(\nsubseteq\) in each blank to make a true statement. \(R\)_____ \(N\)

Use the following set designations. $$ \begin{aligned} &N=\\{x \mid x \text { is a natural number }\\} \\ &Q=\\{x \mid x \text { is a rational number }\\} \\ &W=\\{x \mid x \text { is a whole number }\\} \\ &H=\\{x \mid x \text { is an irrational number }\\} \\ &I=\\{x \mid x \text { is an integer }\\} \\ &R=\\{x \mid x \text { is a real number }\\} \end{aligned} $$ Place \(\subseteq\) or \(\nsubseteq\) in each blank to make a true statement. \(N\)_____ \(R\)

Simplify each numerical expression. Be sure to take advantage of the properties whenever they can be used to make the computations easier. $$(14)(25)(-13)(4)$$

Simplify the algebraic expressions in Problems \(15-34\) by removing parentheses and combining similar terms. $$4\left(n^{2}+3\right)+\left(n^{2}-7\right)$$

Perform the following operations with real numbers. $$1 \frac{1}{12}-\left(-5 \frac{3}{4}\right)$$