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Textbook Site for: Brief Applied Calculus, Third Edition Geoffrey C. Berresford, Long Island University Andrew M. Rockett, Long Island University Prerequisite Algebra Review The Prerequisite Algebra Review provides students with a quick review of algebra skills whenever they need it. Students can select a topic from an extensive list and walk through the short lesson and examples provided. Some resources on this page are in PDF format and require Adobe® Acrobat® Reader. You can download the free reader below!   For further explanation on how to save or view PDF documents, please see: Downloading and viewing PDF files. For more information about the web technology used here, please read our help file. 1.1A To use inequality symbols with integers 1.1B To find the additive inverse and absolute value of a number 1.1C To add or subtract integers 1.1D To multiply or divide integers 1.1E To solve application problems 1.2A To write a rational number as a decimal 1.2B To convert among percents, fractions, and decimals 1.2C To add or subtract rational numbers 1.2D To multiply or divide rational numbers 1.2E To evaluate exponential expressions 1.2F To simplify numerical radical expressions 1.2G To solve application problems 1.3A To use the Order of Operations Agreement to simplify expressions 1.4A To evaluate a variable expression 1.4B To simplify a variable expression using the Properties of Addition 1.4C To simplify a variable expression using the Properties of Multiplication 1.4D To simplify a variable expression using the Distributive Property 1.4E To translate a verbal expression into a variable expression 1.5A To write a set using the roster method 1.5B To write a set using set-builder notation 1.5C To graph an inequality on the number line 2.1A To determine whether a given number is a solution of an equation 2.1B To solve an equation of the form x+a=b 2.1C To solve an equation of the form ax=b 2.1D To solve application problems using the basic percent equation 2.2A To solve an equation of the form ax+b=c 2.2B To solve an equation of the form ax+b=cx+d 2.2C To solve an equation containing parentheses 2.2D To translate a sentence into an equation and solve 2.3A To solve value mixture problems 2.3B To solve percent mixture problems 2.3C To solve investment problems 2.3D To solve uniform motion problems 2.4A To solve an inequality in one variable 2.4B To solve a compound inequality 2.4C To solve application problems 2.5A To solve an absolute value equation 2.5B To solve an absolute value inequality 2.5C To solve application problems 3.1A To solve problems involving lines and angles 3.1B To solve problems involving angles formed by intersecting lines 3.1C To solve problems involving the angles of a triangle 3.2A To solve problems involving the perimeter of geometric figures 3.2B To solve problems involving the area of geometric figures 3.3A To solve problems involving the volume of a solid 3.3B To solve problems involving the surface area of a solid 4.1A To graph points on a rectangular coordinate system 4.1B To determine ordered-pair solutions of an equation in two variables 4.1C To determine whether a set of ordered pairs is a function 4.1D To evaluate a function written in functional notation 4.2A To graph an equation of the form y=mx+b 4.2B To graph an equation of the form Ax+By=C 4.2C To solve application problems 4.3A To find the slope of a straight line 4.3B To graph a line using the slope and the y-intercept 4.4A To find the equation of a line given a point and the slope 4.4B To find the equation of a line given two points 4.4C To solve application problems 4.5A To find parallel and perpendicular lines 4.6A To graph an inequality in two variables 5.1A To solve a system of linear equations by graphing 5.2A To solve a system of linear equations by the substitution method 5.3A To solve a system of two linear equations in two variables by the addition method 5.3B To solve a system of three linear equations in three variables by the addition method 5.4A To evaluate a determinant 5.4B To solve a system of equations by using Cramer's Rule 5.5A To solve rate-of-wind or rate-of-current problems 5.5B To solve application problems using two variables 5.6A To graph the solution set of a system of linear inequalities 6.1A To multiply monomials 6.1B To divide monomials and simplify expressions with negative exponents 6.1C To write a number using scientific notation 6.1D To solve application problems 6.2A To evaluate polynomial functions 6.2B To add or subtract polynomials 6.3A To multiply a polynomial by a monomial 6.3B To multiply two polynomials 6.3C To multiply two binomials 6.3D To multiply binomials that have special products 6.3E To solve application problems 6.4A To divide polynomials 6.4B To divide polynomials using synthetic division 6.4C To evaluate a polynomial using synthetic division 7.1A To factor a monomial from a polynomial 7.1B To factor by grouping 7.2A To factor a trinomial of the form x^2 + bx + c 7.2B To factor completely 7.3A To factor a trinomial of the form a(x^2) + bx + c by using trial factors 7.3B To factor a trinomial of the form a(x^2) + bx + c by grouping 7.4A To factor the difference of two perfect squares or a perfect-square trinomial 7.4B To factor the sum or the difference of two cubes 7.4C To factor a trinomial that is quadratic in form 7.4D To factor completely 7.5A To solve equations by factoring 7.5B To solve application problems 8.1A To simplify a rational expression 8.1B To multiply rational expressions 8.1C To divide rational expressions 8.2A To find the least common multiple(LCM) of two or more polynomials 8.2B To express two fractions in terms of the LCM of their denominators 8.2C To add or subtract rational expressions with the same denominator 8.2D To add or subtract rational expressions with different denominators 8.3A To simplify a complex fraction 8.4A To solve rational equations 8.4B To solve proportions 8.4C To solve problems involving similar triangles 8.4D To solve application problems 8.5A To solve a literal equation for one of the variables 8.6A To solve work problems 8.6B To solve uniform motion problems 8.7A To solve variation problems 9.1A To simplify expressions with rational exponents 9.1B To write exponential expressions as radical expressions and to write radical expressions as exponential expressions 9.1C To simplify radical expressions that are roots of perfect powers 9.2A To simplify radical expressions 9.2B To add or subtract radical expressions 9.2C To multiply radical expressions 9.2D To divide radical expressions 9.3A To simplify a complex number 9.3B To add or subtract complex numbers 9.3C To multiply complex numbers 9.3D To divide complex numbers 9.4A To solve a radical equation 9.4B To solve application problems 10.1A To solve a quadratic equation by factoring 10.1B To write a quadratic equation given its solutions 10.1C To solve a quadratic equation by taking square roots 10.2A To solve a quadratic equation by completing the square 10.3A To solve a quadratic equation by using the quadratic formula 10.4A To solve an equation that is quadratic in form 10.4B To solve a radical equation that is reducible to a quadratic equation 10.4C To solve a fractional equation that is reducible to a quadratic equation 10.5A To solve application problems 10.6A To solve a nonlinear inequality 11.1A To graph a linear function 11.1B To solve application problems 11.2A To graph a quadratic function 11.2B To find the x-intercepts of a parabola 11.2C To find the minimum or maximum of a quadratic function 11.2D To solve application problems 11.3A To graph functions 11.4A To perform operations on functions 11.4B To find the composition of two functions 11.5A To determine whether a function is one-to-one 11.5B To find the inverse of a function 11.6A To graph a parabola 11.6B To find the equation of a circle and to graph the circle 11.6C To graph an ellipse with center at the origin 11.6D To graph a hyperbola with center at the origin 12.1A To evaluate an exponential function 12.1B To graph an exponential function 12.2A To write equivalent exponential and logarithmic equations 12.2B To use the Properties of Logarithms 12.2C To use the change-of-base formula 12.3A To graph a logarithmic function 12.4A To solve an exponential equation 12.4B To solve a logarithmic equation 12.5A To solve application problems Site Map | Partners | Press Releases | Company Home | Contact Us Copyright Houghton Mifflin Company. 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