Chapter 1

Simplify each of the numerical expressions. $$-\left(\frac{2}{3}\right)^{2}+5\left(\frac{2}{3}\right)-4$$

Simplify each numerical expression. $$-21+(-17)-11+15-(-10)$$

Simplify each of the numerical expressions. $$9 \div 3 \cdot 4 \div 2 \cdot 14$$

Evaluate the algebraic expressions in Problems 35-57 for the given values of the variables. \(-3(x+1)+4(-x-2)-3(-x+4), \quad x=-\frac{1}{2}\)

Simplify each of the numerical expressions. $$4\left(\frac{1}{3}\right)^{3}+3\left(\frac{1}{3}\right)^{2}+2\left(\frac{1}{3}\right)+6$$

Simplify each numerical expression. $$-16-(-14)+16+17-19$$

Simplify each of the numerical expressions. $$21 \div 7 \cdot 5 \cdot 2 \div 6$$

Evaluate the algebraic expressions in Problems 35-57 for the given values of the variables. \(3\left(x^{2}-1\right)-4\left(x^{2}+1\right)-\left(2 x^{2}-1\right), \quad x=\frac{2}{3}\)

Simplify each numerical expression. $$7 \frac{1}{8}-\left(2 \frac{1}{4}-3 \frac{7}{8}\right)$$

Simplify each of the numerical expressions. $$7+8 \cdot 2$$

Evaluate the algebraic expressions in Problems 35-57 for the given values of the variables. \(2\left(n^{2}+1\right)-3\left(n^{2}-3\right)+3\left(5 n^{2}-2\right), \quad n=\frac{1}{4}\)

Use your calculator to evaluate each numerical expression. $$2^{10}$$

Simplify each numerical expression. $$-4 \frac{3}{5}-\left(1 \frac{1}{5}-2 \frac{3}{10}\right)$$

Simplify each of the numerical expressions. $$21-4 \cdot 3+2$$

Evaluate the algebraic expressions in Problems 35-57 for the given values of the variables. \(5(x-2 y)-3(2 x+y)-2(x-y), \quad x=\frac{1}{3}\) and \(y=-\frac{3}{4}\)

Use your calculator to evaluate each numerical expression. $$3^{7}$$

Simplify each numerical expression. $$16-18+19-[14-22-(31-41)]$$

Simplify each of the numerical expressions. $$9 \cdot 7-4 \cdot 5-3 \cdot 2+4 \cdot 7$$

Use your calculator and evaluate each of the algebraic expressions for the indicated values. Express the final answers to the nearest tenth. \(\pi r^{2}, \pi=3.14\) and \(r=2.1\)

Use your calculator to evaluate each numerical expression. $$(-2)^{8}$$

Simplify each numerical expression. $$-19-[15-13-(-12+8)]$$

Simplify each of the numerical expressions. $$6 \cdot 3+5 \cdot 4-2 \cdot 8+3 \cdot 2$$

Use your calculator and evaluate each of the algebraic expressions for the indicated values. Express the final answers to the nearest tenth. \(\pi r^{2}, \pi=3.14\) and \(r=8.4\)

Use your calculator to evaluate each numerical expression. $$(-2)^{11}$$

Simplify each numerical expression. $$[14-(16-18)]-[32-(8-9)]$$

Simplify each of the numerical expressions. $$(17-12)(13-9)(7-4)$$

Use your calculator and evaluate each of the algebraic expressions for the indicated values. Express the final answers to the nearest tenth. \(\pi r^{2} h, \quad \pi=3.14, r=1.6\), and \(h=11.2\)

Use your calculator to evaluate each numerical expression. $$-4^{9}$$

Simplify each numerical expression. $$[-17-(14-18)]-[21-(-6-5)]$$

Simplify each of the numerical expressions. $$(14-12)(13-8)(9-6)$$

Use your calculator and evaluate each of the algebraic expressions for the indicated values. Express the final answers to the nearest tenth. \(\pi r^{2} h, \quad \pi=3.14, r=4.8\), and \(h=15.1\)

Use your calculator to evaluate each numerical expression. $$-5^{6}$$

Simplify each numerical expression. $$4 \frac{1}{12}-\frac{1}{2}\left(\frac{1}{3}\right)$$

Simplify each of the numerical expressions. $$13+(7-2)(5-1)$$

Use your calculator and evaluate each of the algebraic expressions for the indicated values. Express the final answers to the nearest tenth. \(2 \pi r^{2}+2 \pi r h, \pi=3.14, r=3.9\), and \(h=17.6\)

Use your calculator to evaluate each numerical expression. $$(3.14)^{3}$$

Simplify each numerical expression. $$-\frac{4}{5}-\frac{1}{2}\left(-\frac{3}{5}\right)$$

Simplify each of the numerical expressions. $$48-(14-11)(10-6)$$

Use your calculator and evaluate each of the algebraic expressions for the indicated values. Express the final answers to the nearest tenth. \(2 \pi r^{2}+2 \pi r h, \quad \pi=3.14, r=7.8\), and \(h=21.2\)

Use your calculator to evaluate each numerical expression. $$(1.41)^{4}$$

Simplify each numerical expression. $$-5+(-2)(7)-(-3)(8)$$

Simplify each of the numerical expressions. $$(5 \cdot 9-3 \cdot 4)(6 \cdot 9-2 \cdot 7)$$

Translate each English phrase into an algebraic expression and use \(n\) to represent the unknown number. The sum of a number and 4

Use your calculator to evaluate each numerical expression. $$(1.73)^{5}$$

Simplify each numerical expression. $$-9-4(-2)+(-7)(6)$$

Simplify each of the numerical expressions. $$(3 \cdot 4+2 \cdot 1)(5 \cdot 2+6 \cdot 7)$$

Translate each English phrase into an algebraic expression and use \(n\) to represent the unknown number. A number increased by 12

State, in your own words, the multiplication property of negative one.

Simplify each numerical expression. $$\frac{2}{5}\left(-\frac{3}{4}\right)-\left(-\frac{1}{2}\right)\left(\frac{3}{5}\right)$$

Simplify each of the numerical expressions. $$7[3(6-2)]-64$$