PERT Mathematics Test Review

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1 PERT Mathematics Test Review Prof. Miguel A. Montañez ESL/Math Seminar

2 Math Test? NO!!!!!!! I am not good at Math! I cannot graduate because of Math! I hate Math!

3 Helpful Sites Math Dept Web Site Wolfson Campus InteractMath Web Site Martin Gay: Beginning and Intermediate Algebra, 4 th Ed Blitzer: Intermediate Algebra for College Students, 4 th Ed Faculty Web Pages Testing Department link link link link

4 Math Courses at Wolfson

5 Contact Information Miguel A. Montañez, Chairperson, Math Department ; Room Assistant to the Chair: Mr. Oscar García (7-3757) Math Learning Center: Room 2223 STEM Center: Room 2214

6 What is the P.E.R.T. Test?

7 What Is the (Math) PERT Test? Postsecondary Education Readiness Test It is a college placement test Computerized test covering first and second year high school algebra topics About 25 questions Multiple choice Must answer questions in order; you cannot omit a question and come back to it later

8 Test Taking Tips Take the test seriously Review your high school algebra and arithmetic Work out the problems before answering the questions Read each question carefully Read carefully READ CAREFULLY!!!

9 PERT Test Operations with Numbers Evaluate Expressions Rules of Exponents Multiplication of Polynomials Factoring Solving Linear Equations Translating Phrases into Numerical Expressions Inequalities Rational Expressions Solving Quadratic Equations Graphing Linear Equations Systems of Equations Square Roots

10 Operations with Numbers Careful with order of operations!!!! -7-3(-2) [( ) (-4 5)] (-6) 2 (-7 + 5) ( 5) ( 2) (12) 2

11 Evaluate Expressions Evaluate expression for x=-2, y=3, and a=-4 (a + 2)(5 x)(-3 y) 5x 2y 2 (3x + 2a)

12 Rules of Exponents Product Rule Quotient Rule Power Rule Negative Exponents ( 2a b ) (2a b 3 ) 4

13 Multiplication of Polynomials FOIL Special Products

14 Factoring Greatest Common Factor Trinomials Special Cases

15 Solving Linear Equations 3x + 2 = -8 4x + 5 = 5x + 7 Translate: If 4 is added to twice a number, the result is 2 less than 3 times the number The difference between three times a number and 7 is 5 more than four times the number

16 Translating Phrases into Numerical Expressions Write the English phrase as an algebraic expression The sum of the number and less than a number A number subtracted from 43 The product of 9 and a number The quotient of a number and 17 The quotient of 62 and a number 5 times a number increased by 13

17 Inequalities Careful with order of operations What happens when multiplying or dividing by a negative number? 2( x 3) 4(4x 7) 5( x 3)

18 Rational Expressions Simplify / Write in lowest term Multiplication / Division Add / Subtract Same denominator Different denominator Complex Fractions

19 Solving Quadratic Equations By Factoring By Completing the Square By the Quadratic Formula

20 Graphing Linear Equations Applications Graphing Linear Equations A car rental agency charges $150 per week plus $0.20 per mile to rent a car. How many miles can you travel in one week for $190? A promotional deal for long distance phone service charges a $15 basic fee plus $0.05 per minute for all calls. If Joe's phone bill was $72 under this promotional deal, how many minutes of phone calls did he make?

21 Solving Systems of Equations The sum of two numbers is 43. One number is 1 more than the other. The sum of two numbers is 80. The larger number is three times the smaller number. The difference between two numbers is 64. Five times the smaller number equals the larger number.

22 Systems of Equations The perimeter of a rectangle is 36 cm. One side is 10 cm longer than the other side. Find two numbers whose sum is 31 and whose difference is 1. The sum of two numbers is 51 and their difference is 5.

23 Square Roots Product Rule Quotient Rule

24 Test? What test?

25 The Language of Mathematics

26 Exercises Let x represent the number. Use the given conditions to write an equation. A number decreased by 218 is equal to 551. A number increased by 341 is equal to 547. The quotient of a number and 6 is 3. x x x 6 3

27 Exercises Let x represent the number. Use the given conditions to write an equation. If 6 times a number is added to -3, the result is equal to 9 times the number. Three times the difference of 5 and a number gives 60. Four less than six times a number is the same as eight times the number. 6x 3 9x 3(5 x) 60 6x 4 8x

28 Exercises The sum of two numbers is 43. One number is 1 more than the other. x x y 43 1 y Find two numbers for which the sum is 33 and the difference is 11. The sum of two numbers is 80. The larger number is three times the smaller number. x x x x y 33 y 11 y 80 3y The difference between two numbers is 64. Five times the smaller number equals the larger number. x y 5y x 64

29 Exercises The sum of two numbers is 72. Four times the larger number minus three times the smaller number is 78. x y 72 4x 3y 78 The perimeter of a rectangle is 36 cm. One side is 10 cm longer than the other side. 2l 2w l 10 w 36 South Wind Vineyards uses 840 acres to plant Chardonnay and Riesling grapes. The vintner knows the profits will be greatest by planting 230 more acres of Chardonnay than Riesling. How many acres of each grape should be planted? C C R R

30 Exercises Write the English phrase as an algebraic expression 7 more than a number The sum of the number and less than a number A number subtracted from 43 The product of 9 and a number The quotient of a number and 17 The quotient of 62 and a number 5 times a number increased by 13 X + 7 X + 14 X x 9x X / / x 5x + 13

31 Exercises If 14 is added to a number and the sum is doubled, the result is -1 less than the number. 2(14+x) = x - -1 = x + 1 The sum of the page numbers on the facing pages of a book is 355. X + (x+1) = 355 2x+1 = 355 The sum of two consecutive even integers is 82. Find the larger number. X + (x+2) = 82

32 Exercises A car rental agency charges $150 per week plus $0.20 per mile to rent a car. How many miles can you travel in one week for $190? A promotional deal for long distance phone service charges a $15 basic fee plus $0.05 per minute for all calls. If Joe's phone bill was $72 under this promotional deal, how many minutes of phone calls did he make? Cost = 0.20x If cost = 190, 190 = 0.20x Charge = 0.05x + 15 If charge = 72, 72 = 0.05x + 15

33 Contact Information Miguel A. Montañez, Chairperson, Math Department ; Room Assistant to the Chair: Mr. Oscar García (7-3757) Math Learning Center: Room 2223 STEM Center: Room 2214

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