Chapter 1

Simplify each fraction by reducing it to its lowest terms. $$\frac{120}{813}$$

Use the order of operations to simplify each expression. $$5(-3)^{2}-2(-4)^{2}$$

In Exercises \(35-42,\) find the multiplicative inverse of each number. $$-12$$

Use a form of the distributive property to rewrite each algebraic expression without parentheses. $$\frac{1}{3}(7 x-21)$$

Find each sum without the use of a number line. $$60+(-50)+(-30)+25$$

Perform the indicated subtraction. $$5.7-3.3$$

Give an example of a rational number that is not a natural number.

Write each English phrase as an algebraic expression. Let the variable \(x\) represent the number. the sum of 20 divided by a number and that number divided by 20

Simplify each fraction by reducing it to its lowest terms. $$\frac{116}{86}$$

Use the order of operations to simplify each expression. $$(4 \cdot 5)^{2}-4 \cdot 5^{2}$$

In Exercises \(35-42,\) find the multiplicative inverse of each number. $$-\frac{2}{5}$$

Find each sum without the use of a number line. $$17+(-4)+2+3+(-10)$$

Use a form of the distributive property to rewrite each algebraic expression without parentheses. $$(2 x+7) 4$$

Perform the indicated subtraction. $$-3.1-(-1.1)$$

Give an example of a number that is an integer, a whole number, and a natural number.

Write each English phrase as an algebraic expression. Let the variable \(x\) represent the number. six more than the quotient of a number and 30

Perform the indicated operation. Where possible, reduce the answer to its lowest terms. $$\frac{2}{5} \cdot \frac{1}{3}$$

Use the order of operations to simplify each expression. $$(3 \cdot 5)^{2}-3 \cdot 5^{2}$$

In Exercises \(35-42,\) find the multiplicative inverse of each number. $$-\frac{4}{9}$$

Find each sum without the use of a number line. $$19+(-5)+1+8+(-13)$$

Use a form of the distributive property to rewrite each algebraic expression without parentheses. $$(5 x+3) 6$$

Perform the indicated subtraction. $$-4.6-(-1.1)$$

Give an example of a number that is a rational number, an integer, and a real number.

Write each English phrase as an algebraic expression. Let the variable \(x\) represent the number. four more than the quotient of 30 and a number

Perform the indicated operation. Where possible, reduce the answer to its lowest terms. $$\frac{3}{7} \cdot \frac{1}{4}$$

Use the order of operations to simplify each expression. $$(2-6)^{2}-(3-7)^{2}$$

Find each sum without the use of a number line. $$-45+\left(-\frac{3}{7}\right)+25+\left(-\frac{4}{7}\right)$$

In Exercises \(43-46\) a. Rewrite the division as multiplication involving a multiplicative inverse. b. Use the multiplication from part ( \(a\) ) to find the given quotient. $$-32 \div 4$$

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

Perform the indicated subtraction. $$1.3-(-1.3)$$

Determine whether the given number is a solution of the equation. $$x+14=20 ; 6$$

Give an example of a number that is an irrational number and a real number.

Perform the indicated operation. Where possible, reduce the answer to its lowest terms. $$\frac{3}{8} \cdot \frac{7}{11}$$

Use the order of operations to simplify each expression. $$(4-6)^{2}-(5-9)^{2}$$

Find each sum without the use of a number line. $$-50+\left(-\frac{7}{9}\right)+35+\left(-\frac{11}{9}\right)$$

In Exercises \(43-46\) a. Rewrite the division as multiplication involving a multiplicative inverse. b. Use the multiplication from part ( \(a\) ) to find the given quotient. \(-18 \div 6\)

Use a form of the distributive property to rewrite each algebraic expression without parentheses. $$7(2 x+4+y)$$

Perform the indicated subtraction. $$1.4-(-1.4)$$

Determine whether the given number is a solution of the equation. $$x+17=22 ; 5$$

Give an example of a number that is a real number, but not an irrational number.

Perform the indicated operation. Where possible, reduce the answer to its lowest terms. $$\frac{5}{8} \cdot \frac{3}{11}$$

Use the order of operations to simplify each expression. $$6(3-5)^{3}-2(1-3)^{3}$$

Find each sum without the use of a number line. $$3.5+(-45)+(-8.4)+72$$

In Exercises \(43-46\) a. Rewrite the division as multiplication involving a multiplicative inverse. b. Use the multiplication from part ( \(a\) ) to find the given quotient. $$\frac{-60}{-5}$$

Use a form of the distributive property to rewrite each algebraic expression without parentheses. $$5(3 x-2+4 y)$$

Perform the indicated subtraction. $$-2.06-(-2.06)$$

Determine whether the given number is a solution of the equation. $$30-y=10 ; 20$$

Insert either \(<\) or \(>\) in the shaded area between each pair of numbers to make a true statement. $$\frac{1}{2} \square 2$$

Perform the indicated operation. Where possible, reduce the answer to its lowest terms. $$9 \cdot \frac{4}{7}$$

Use the order of operations to simplify each expression. $$-3(-6+8)^{3}-5(-3+5)^{3}$$