Chapter 1

Express each rational number as a decimal. $$-\frac{7}{6}$$

Write each English phrase as an algebraic expression. Let the variable \(x\) represent the number. three subtracted from a number

Simplify each fraction by reducing it to its lowest terms. $$\frac{18}{45}$$

Perform the indicated subtraction. $$-\frac{4}{5}-\left(-\frac{1}{5}\right)$$

Use a form of the distributive property to rewrite each algebraic expression without parentheses. $$5(x+y)$$

In Exercises \(29-72,\) use the order of operations to simplify each expression. $$6 \cdot 8 \div 4$$

perform the indicated multiplication. $$(-8)(-4)(0)(-17)(-6)$$

Find each sum without the use of a number line. $$-\frac{5}{8}+\frac{3}{4}$$

List all numbers from the given set that are: a. natural numbers, b. whole numbers, c. integers, d. rational numbers, e. irrational numbers, I. real numbers. $$\left\\{-9,-\frac{4}{5}, 0,0.25, \sqrt{3}, 9.2, \sqrt{100}\right\\}$$

Write each English phrase as an algebraic expression. Let the variable \(x\) represent the number. nine decreased by a number

Simplify each fraction by reducing it to its lowest terms. $$\frac{35}{50}$$

Perform the indicated subtraction. $$-\frac{4}{9}-\left(-\frac{1}{9}\right)$$

Use a form of the distributive property to rewrite each algebraic expression without parentheses. $$7(x+y)$$

In Exercises \(29-72,\) use the order of operations to simplify each expression. $$8 \cdot 6 \div 2$$

perform the indicated multiplication. $$(-9)(-12)(-18)(0)(-3)$$

Find each sum without the use of a number line. $$-\frac{5}{6}+\frac{1}{3}$$

List all numbers from the given set that are: a. natural numbers, b. whole numbers, c. integers, d. rational numbers, e. irrational numbers, I. real numbers. $$\\{-7,-0 . \overline{6}, 0, \sqrt{49}, \sqrt{50}\\}$$

Write each English phrase as an algebraic expression. Let the variable \(x\) represent the number. three decreased by a number

Simplify each fraction by reducing it to its lowest terms. $$\frac{45}{50}$$

Perform the indicated subtraction. $$\frac{1}{2}-\left(-\frac{1}{4}\right)$$

find the multiplicative inverse of each $$4$$

Use a form of the distributive property to rewrite each algebraic expression without parentheses. $$3(x-2)$$

In Exercises \(29-72,\) use the order of operations to simplify each expression. $$14-2 \cdot 6+3$$

Find each sum without the use of a number line. $$-\frac{3}{7}+\left(-\frac{4}{5}\right)$$

List all numbers from the given set that are: a. natural numbers, b. whole numbers, c. integers, d. rational numbers, e. irrational numbers, I. real numbers. $$\left\\{-11,-\frac{5}{6}, 0,0.75, \sqrt{5}, \pi, \sqrt{64}\right\\}$$

Write each English phrase as an algebraic expression. Let the variable \(x\) represent the number. three times a number, decreased by 5

Simplify each fraction by reducing it to its lowest terms. $$\frac{32}{80}$$

Perform the indicated subtraction. $$\frac{2}{5}-\left(-\frac{1}{10}\right)$$

find the multiplicative inverse of each $$3$$

In Exercises \(29-72,\) use the order of operations to simplify each expression. $$36-12 \div 4+2$$

Use a form of the distributive property to rewrite each algebraic expression without parentheses. $$4(x-5)$$

Find each sum without the use of a number line. $$-\frac{3}{8}+\left(-\frac{2}{3}\right)$$

List all numbers from the given set that are: a. natural numbers, b. whole numbers, c. integers, d. rational numbers, e. irrational numbers, I. real numbers. $$\\{-5,-0 . \overline{3}, 0, \sqrt{2}, \sqrt{4}\\}$$

Write each English phrase as an algebraic expression. Let the variable \(x\) represent the number. five times a number, decreased by 3

Simplify each fraction by reducing it to its lowest terms. $$\frac{75}{80}$$

Perform the indicated subtraction. $$\frac{1}{2}-\frac{1}{4}$$

In Exercises \(29-72,\) use the order of operations to simplify each expression. $$8^{2}-16 \div 2^{2} \cdot 4-3$$

find the multiplicative inverse of each $$\frac{1}{5}$$

Use a form of the distributive property to rewrite each algebraic expression without parentheses. $$2(4 x-5)$$

Find each sum without the use of a number line. $$4+(-7)+(-5)$$

Write each English phrase as an algebraic expression. Let the variable \(x\) represent the number. one less than the product of 12 and a number

Simplify each fraction by reducing it to its lowest terms. $$\frac{44}{50}$$

Perform the indicated subtraction. $$\frac{2}{5}-\frac{1}{10}$$

In Exercises \(29-72,\) use the order of operations to simplify each expression. $$10^{2}-100 \div 5^{2} \cdot 2-1$$

find the multiplicative inverse of each $$\frac{1}{7}$$

Use a form of the distributive property to rewrite each algebraic expression without parentheses. $$6(3 x-2)$$

Find each sum without the use of a number line. $$10+(-3)+(-8)$$

Write each English phrase as an algebraic expression. Let the variable \(x\) represent the number. three less than the product of 13 and a number

Simplify each fraction by reducing it to its lowest terms. $$\frac{38}{50}$$

Perform the indicated subtraction. $$9.8-2.2$$