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## Does This Sequence Converge?

/in Algebra, Calculus, College Algebra, L'Hopital's rule, limits, Math Test Prep, sequences, series/by Jill HackerQuestion Does the sequence converge? Solution A sequence converges if there is a limit for its terms as the number terms goes to infinity. Is there a limit of as goes to infinity? Let’s see: . Since the limit as goes to infinity of equals 0, the limit as goes to infinity of . There […]

## Solving Radical Equations

/in Accuplacer, Algebra, Math Test Prep/by Jill HackerThis post about solving radical equations is part of a series of posts to help you prepare for the Advanced Algebra and Functions part of the Accuplacer test. Question Does the equation have a real solution? If so, what is it? Solution This kind of equation is called a radical equation, because it contains a radical — […]

## Is This Relation a Function?

/in Accuplacer, Algebra, Math Test Prep/by Jill HackerThis post about whether a relation is a function is part of a series of posts to help you prepare for the Advanced Algebra and Functions part of the Accuplacer test. Question One or more of the graphs below represent 𝑦 as a function of 𝑥. Which one or ones? Solution Function/not function? A […]

## Multiplying a Binomial by a Trinomial

/in Accuplacer, Algebra, Math Test Prep/by Jill HackerThis post about multiplying a binomial by a trinomial is part of a series of posts to help you prepare for the Advanced Algebra and Functions part of the Accuplacer test. Question Multiply: Solution The first expression — the contents of the first set of parentheses — is called a binomial because it has two terms. […]

## Surface Area of a Right Rectangular Prism

/in Accuplacer, Geometry, Math Test Prep/by Jill HackerThis post about finding the surface area of a right rectangular prism is part of a series of posts to help you prepare for the Advanced Algebra and Functions part of the Accuplacer test. Question What is the surface area of the right rectangular prism shown? Its length is 6, its width is 5, and […]

## End Behavior, Degree, and Leading Coefficient

/in Accuplacer, Algebra, Math Test Prep/by Jill HackerThis post about end behavior, degree, and leading coefficient of a polynomial function is part of a series of posts to help you prepare for the Advanced Algebra and Functions part of the Accuplacer test. Question Consider the function where a and c are integers and are constants and c is positive. The the graph y […]

## Finding a Function’s Range

/in Accuplacer, Algebra, Math Test Prep/by Jill HackerThis post about finding a function’s range from its equation is part of a series of posts to help you prepare for the Advanced Algebra and Functions part of the Accuplacer test. Question Find the range of this function: Solution A function’s range is the set of values y can take in that function. You are asked […]

## Rationalizing a Denominator

/in Accuplacer, Algebra, Math Test Prep/by Jill HackerThis post about rationalizing a denominator is part of a series of posts to help you prepare for the Advanced Algebra and Functions part of the Accuplacer test. Question Consider the expression where a and b are positive integers. Which of the following expressions is equivalent to it? A. B. C. D. Solution Only one of […]

## Solving a Rational Equation

/in Accuplacer, Algebra, Math Test Prep/by Jill HackerThis post about solving a rational equation is #15 in a series of posts to help you prepare for the Advanced Algebra and Functions part of the Accuplacer test. Question Solve this rational equation: Assume x is not equal to -8 or 2/3. Solution What do we mean by rational? The root is ratio. A rational […]

## Comparing Data in Different Formats

/in Accuplacer, Algebra, Math Test Prep/by Jill HackerThis post about comparing data in different formats is part of a series of posts to help you prepare for the Advanced Algebra and Functions part of the Accuplacer test. Question This graph shows how much Liam gets paid as a function of the number of hours he works. Sarah, on the other hand, is paid […]