Bartleby Sitemap - Textbook Solutions
All Textbook Solutions for College Algebra (MindTap Course List)
1SCSelf Check Determine whether the decimal form of each fraction terminates or repeats: a. 3899 b. 78Self Check In the set in Example 3, list all a. odd numbers b. composite numbers c. irrational numbersSelf Check Determine which property of real numbers justifies each statement a.mn=nm b.(xy)z=x(yz) c.p+q=q+pSelf Check Graph the set 2,34,3. Hint: To the nearest tenth, 3=1.7.Self Check Write the inequality 2x5 in interval notation and graph it.Self Check Write the inequality 5x in interval notation and graph it.Self Check Write the inequality 0x3 in interval notation and graph it.Self Check Write each number without using absolute value symbols: a.|10| b.|12| c.|6|Self Check Write each number without using absolute value symbols. hint:52.236. a.|25| b.|2x| if x1Self Check Find the distance on a number line between the points with the given coordinates. a. 4 and 10 b. -2 and -7Fill in the blanks. A ______ is a collection of objects.2E3E4EFill in the blanks. A real number is any number that can be expressed as a _______________.Fill in the blanks. A ___________ is a letter that is used to represent a number.Fill in the blanks. The smallest prime number is ___________.Fill in the blanks. All integers that are exactly divisible by 2 are called __________ integers.Fill in the blanks. Natural number greater than 1 that are not prime are called _________ numbers.Fill in the blanks. Fraction such as 23,82, and 79 are called ____________ numbers.11EFill in the blanks. The symbol __________ is read as is less than or equal to.Fill in the blanks. On a number line, the ______ numbers are to the left of 0.Fill in the blanks. The only integer that is neither positive nor negative is ______.Fill in the blanks. The Associative property of Addition states that (x+y)+z=.Fill in the blanks. The Commutative Property of Multiplication states that xy=.Fill in the blanks. Use the Distributive property to complete the statement: 5(m+2)=.Fill in the blanks. The statement (m+n)p=p(m+n) illustrates the ________ Property of _____________.Fill in the blanks. The graph of an ___________ is a portion of a number line.Fill in the blanks. The graph of an open interval has ________ endpoints.21E22E23EFill in the blanks The _______ between two distinct points on a number line is always positive.Let N = the set of natural numbers. W = the set of whole number Z = the set of integers Q = the set of rational numbers R = the set of real numbers. Determine whether each statement is true or false. Read the symbol as is a subset of. NW26E27E28E29E30E31E32E33E34E35EDetermine whether the decimal form of each fraction terminates or repeats. 38Determine whether the decimal form of each fraction terminates or repeats. 31138EConsider the following set: {5,4,23,0,1,2,2,2.75,6,7} Which numbers are natural numbers?40E41E42EConsider the following set: {5,4,23,0,1,2,2,2.75,6,7} Which numbers are irrational numbers?Consider the following set: {5,4,23,0,1,2,2,2.75,6,7} Which numbers are prime numbers?Consider the following set: {5,4,23,0,1,2,2,2.75,6,7} Which numbers are composite numbers?Consider the following set: {5,4,23,0,1,2,2,2.75,6,7} Which numbers are even integers?Consider the following set: {5,4,23,0,1,2,2,2.75,6,7} Which numbers are odd integers?48EGraph each subset of the real numbers on a number line: The natural numbers between 1 and 5Graph each subset of the real numbers on a number line: The composite numbers less than 10Graph each subset of the real numbers on a number line: The prime numbers between 10 and 2052EGraph each subset of the real numbers on a number line: The integers between -5 to 054E55EGraph each subset of the real numbers on a number line: 0.7, 1.75, and 378Write each inequality in interval notation and graph the interval. x2Write each inequality in interval notation and graph the interval. x4Write each inequality in interval notation and graph the interval. 0x560E61EWrite each inequality in interval notation and graph the interval. x3Write each inequality in interval notation and graph the interval. 2x2Write each inequality in interval notation and graph the interval. 4x165E66E67E68E69EWrite each inequality in interval notation and graph the interval. 4x471E72E73E74E75EWrite each pair of inequalities as the intersection of two intervals and graph the result. x1andx7Write each inequality as the union of two intervals and graph the result. x2orx278EWrite each inequality as the union of two intervals and graph the result. x1orx380EWrite each expression without using absolute value symbols. 13Write each expression without using absolute value symbols. 1783EWrite each expression without using absolute value symbols. 6385E86EWrite each expression without using absolute value symbols. 3288EWrite each expression without using absolute value symbols. 5Write each expression without using absolute value symbols. 891EWrite each expression without using absolute value symbols. 293E94EWrite each expression without using absolute value symbols. x4andx096E97EFind the distance between each pair of points on the number line.99EFind the distance between each pair of points on the number line. 6and20Applications What subset of the real numbers would you use to describe the populations of Memphis and Miami?Applications What subset of the real numbers would you use to describe the subdivisions of an inch on a ruler?103EApplications What subset of the real numbers would you use to describe the prices of hoodies at Aeropostale?105E106EDiscovery and Writing Explain why x could be positive.108EDiscovery and Writing Is the statement |ab|=|a||b| always true? Explain.Discovery and Writing Is the statement |ab|=|a||b|(b0) always true? Explain.111EDiscovery and Writing Explain why it is incorrect to write abc if abandbc.Critical Thinking Determine if the statement is true or false. If the statement is false, then correct it and make it true. There are six integers between -3 and 3.114E115ECritical Thinking Determine if the statement is true or false. If the statement is false, then correct it and make it true. |ab|=|ba|Critical Thinking Determine if the statement is true or false. If the statement is false, then correct it and make it true. {5,,3,134}Critical Thinking Determine if the statement is true or false. If the statement is false, then correct it and make it true.119ECritical Thinking Determine if the statement is true or false. If the statement is false, then correct it and make it true. A set is always a subset of itself.Self Check 1 Write each expression without using exponents: a.73 b.(3)2 c.5a3 d.(5a)42SC3SC4SC5SC6SC7SC8SC9SC1E2E3E4E5E6EComplete each exponent rule. Assume x0. xmxn= ____8E9E10E11E12EPractice Write each number or expression without using exponents. 132Practice Write each number or expression without using exponents. 103Practice Write each number or expression without using exponents. 52Practice Write each number or expression without using exponents. (5)2Practice Write each number or expression without using exponents. 4x3Practice Write each number or expression without using exponents. (4x)3Practice Write each number or expression without using exponents. (5x)4Practice Write each number or expression without using exponents. 6x2Practice Write each number or expression without using exponents. 8x4Practice Write each number or expression without using exponents. (8x)423E24EWrite each expression using exponents. (x)(x)26E27E28EWrite each expression using exponents. xxxyy30E31E32E33E34E35E36E37ESimplify each expression. Write all answer without using negative exponents. Assume that all variables are restricted to those numbers for which the expression is defined. (t6)739E40E41E42E43E44E45E46E47E48E49E50ESimplify each expression. Write all answer without using negative exponents. Assume that all variables are restricted to those numbers for which the expression is defined. (x)052E53E54ESimplify each expression. Write all answer without using negative exponents. Assume that all variables are restricted to those numbers for which the expression is defined. z456E57ESimplify each expression. Write all answer without using negative exponents. Assume that all variables are restricted to those numbers for which the expression is defined. m2m359E60E61E62ESimplify each expression. Write all answer without using negative exponents. Assume that all variables are restricted to those numbers for which the expression is defined. a21a1764ESimplify each expression. Write all answer without using negative exponents. Assume that all variables are restricted to those numbers for which the expression is defined. (x2)2x2x66E67E68E69E70E71E72ESimplify each expression. Write all answer without using negative exponents. Assume that all variables are restricted to those numbers for which the expression is defined. (r4r6r3r3)274E75E76E77E78E79E80ESimplify each expression. Write all answer without using negative exponents. Assume that all variables are restricted to those numbers for which the expression is defined. (82z3y)1(5y2z2)3(5yz2)182ESimplify each expression. 5[62+(95)]4(23)284E85E86E87E88E89E90ELet x=2,y=0,and z=3 and evaluate each expression. (x2z3)z2y292E93E94E95E96E97E98EExpress each number in scientific notation. 177,000,000100E101E102E103EExpress each number in scientific notation. 0.000000089105E106EExpress each number in standard notation. 9.37105108E109E110E111E112E113E114E115E116E117E118E119E120EApplications Use scientific notation to compute each answer. Write all answer in scientific notation. Speed of sound The speed of sound in air is 3.31104 centimeters per second. Compute the speed of sound in meters per minute.Applications Use scientific notation to compute each answer. Write all answer in scientific notation. Volume of a box Calculate the volume of a box that has dimensions of 6000 by 9700 by 4700 millimeters.123E124E125E126E127E128E129E130E131E132E133E134E135E136E137E138E139E140E141E142E143E144E145E146E147E148E149E150ESelf Check Simplify: a. 1001/2 b. 2431/52SC3SC4SC5SC6SC7SC8SC9SC10SC