STEP 1: Look at the third term of the equation, which is 6.įind two integers that equal 6 when multiplied. Our original equation was: x 2 + 5x + 6 = 0 To solve algebra problems like this, you might need help with factoring quadratics. The correct answer is: (x + 2)(x + 3) = 0 The correct answers are: 2x 2 + 3x – 65 = 0 and (x = –6.5 or x = 5)įor algebra problems like questions 43 and 44, you need to know how to solve quadratic equations. The equation can be rewritten as follows: To solve Accuplacer math prep problems like questions 41 and 42 you need to understand the quadratic forms and know how to solve quadratic equations. The correct answers are: 3x 2 – 6x = 0 and (x = 0 or x = 2) (a – 3)(a 2 + 3a + 9) Go to question 41 Math Problems – Answers 41 to 45 Answer 41 The correct answer is: (a – 3)(a 2 + 3a + 9)įor algebra equations like this one, you need to factor quadratics. Then substitute the value of x into one of the original equations to solve for y. To solve these types of algebra equations, you should look at solving systems of equations.Ĭombine the two equations and solve for x. We have the “greater than” symbol, so the line needs to point to the right. You need to use an open dot because you do not have the equals to sign. Then represent the result on a number line. To solve algebra problems such as this, you need to learn how to create number lines. Go to the answers for questions 31 to 35 Questions 36 to 40ģ6) Express in scientific notation: 19,875.246ģ7) Represent the solution to the following on a number line: Go to the answers for questions 26 to 30 Questions 31 to 35ģ1) Use the FOIL method to simplify: (3x – 2) 2ģ2) Use the FOIL method to simplify: (5a – 1)(3a + 9)ģ3) Expand by multiplying polynomials: a 2b 2(2a 2b + 3a 3b 3)ģ4) Expand by multiplying polynomials: x 3y 3(4x 3y 2 + 5x 2y 2)ģ5) Which of the following are rational numbers: Go to the answers for questions 21 to 25 Accuplacer Math Prep – Questions 26 to 30Ģ7) Solve for a and b using the elimination method: Go to the answers for questions 16 to 20 Accuplacer Math Prep – Questions 21 to 25 Go to the answers for questions 11 to 15 Accuplacer Math Prep – Questions 16 to 20ġ8) Which of the following are monomials?ġ9) Balance the equation and express your answer as a simplified fraction, if possible. If | x + y | = 5 and x = 3, then what are the possible value of y ?ġ4) Identify the variables, the coefficients, and the constant in the expression below.ġ5) Factor: a 2b 3c 2 + a 3b 4c 2 + ab 2c Go to the answers for questions 6 to 10 Accuplacer Math Prep – Questions 11 to 15ġ1) Factor: 18a 2b 3c + 12a 3b 2c 2 – 24ab 4c 3 Use the substitution method.ĩ) Group like terms together and then factor: ab 2y – 3a + 9b 2y – 27ġ0) 3 is added to the original value, then 5 is subtracted from this sum to get 68. Go to the answers for questions 1 to 5 Accuplacer Math Prep – Questions 6 to 10īefore competing exercises 6 and 7, you may want to view more information on perfect squares.Ĩ) Solve for x and y if 3x + y = 20 and 2x + 2y = 16. Accuplacer Math Prep – Questions 1 to 5ģ) Simplify, then state whether the result is a rational or irrational number:Ĥ) Simplify, then state whether the result is a rational or irrational number: So, we recommend that you complete the practice problems in the order provided. The questions in this Accuplacer math practice test are ordered from basic to advanced. You can also try the other materials below. You can complete the all of the practice problems in one sitting, or check your answers at the end of each set. The math problems are grouped into sets of five. Instructions: There are fifty Accuplacer math prep problems on this page. The Accuplacer math prep problems on this page are up-to-date for the new exam. Accuplacer Math Prep – 50 Problems with Answers & Explanations
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