TSIA Test Prep Luis Molina John Cox SLIDE 1 Agenda Part I: What to Expect o Texas Success Initiative o Tips for computer based testing Part II: Test Section o Math SLIDE 2 Part I: What to Expect SLIDE 3 Texas Success Initiative o TSI tries to give you the best starting place. o Goal is to place “at” not “out” o Tests your knowledge of concepts you may have not seen in a while. o Mathematics section tests you for Algebra o If the assessment sees fit, it may test further. SLIDE 4 Tips for Computer Based Testing o Read it twice, slowly. Three readings are good for word problems. o First time, get a feel for the problem. o Second reading, get a grasp on what is given and what you need to solve for. o Third, predetermine the steps needed to solve. o Use your scratch paper. Bring plenty of it. SLIDE 5 Tips for Computer Based Testing o Multiple-choice o o o o o o Read the question carefully Read all the answers Be sure you answer the question asked Check to see if your choice makes sense If not, check to see that you went through every step. Be sure answer is in the right units. SLIDE 6 Part II: Test Section SLIDE 7 Math Tools and Concepts o o o o o o o o o o o o o Properties of Equality Proportions Factoring Linear Equations Quadratic Equations Functions Graphing Statistics Probability Geometry Area Perimeter Pythagorean Theorem SLIDE 8 Solve the equation: 4x − 5 + 7 x + 1 = 6x + 7 a. b. c. d. 1 5/4 -1 -5/4 Linear Equations SLIDE 9 x2 + x = x a. x b. x + 1 c. x 2 d. 1 x Simplifying Algebraic Expressions SLIDE 10 The length of a square is 2x − y. Find the area of the square. a. b. c. d. 4x 2 + 4xy + y 2 4x 2 − 4xy + y 2 4x 2 + 4xy − y 2 4x 2 − 4xy − y 2 Perfect Square Trinomial SLIDE 11 Factor: 2x 2 + 5x − 12 a. 2x − 3 x + 4 b. 2x + 3 x − 4 c. 2x + 3 x + 4 d. (2x − 3)(x − 4) Factoring a trinomial SLIDE 12 Which one will be the same if we drop a 5 from 5, 6, 7, 9, 9, 10 a. b. c. d. Mode Median Mean Range Statistical data SLIDE 13 If ax−b a−1 A. b B. 1 C. -b D. a Solving a rational expression SLIDE 14 = b. Then x = 2r 3s a. b. c. d. r 6 6s r 6 r rs 6 Exponents SLIDE 15 9s = 2 r Which of the following is x true if g x = ? x+1 a. b. c. d. g g g g 0 =1 1 =0 10 < g 20 20 < g(10) Evaluating a function and inequalities SLIDE 16 Which one is not a factor of x 3 + 6x 2 + 8x? a. b. c. d. 2 x+2 x x+4 Factoring a polynomial SLIDE 17 Evaluate the following expression: 1 pr − r when p = −7 and r = 2 a. b. c. d. 4 -4 -7 7 Evaluating an algebraic expression SLIDE 18 Which of the following is a point in the xy-plane at which the graph of y = x 2 − x − 30 crosses the x-axis? a. 0, −5 b. 5,0 c. (−5,0) d. 0, 5 Finding the x-intercept SLIDE 19 4−2 = a. 1 16 b. 1 − 16 c. 16 d. −16 Exponents SLIDE 20 The ages of five friends are 24, 35, 32, 35 and 29. How many friends are older than the average age? a. b. c. d. 1 2 3 4 Average SLIDE 21 All of the following are equalities except a. b. c. d. x < −2 x − 2 < −4 x−2<4 2x < −4 Inequalities SLIDE 22 Which of the following systems of equations have no solution? A. x − 2y = 2 x − 2y = 4 B. x + 2y = 7 x=y C. x − y = 0 x+y=1 D. x − y = 1 x = 2y SLIDE 23 System of linear equations Solve the equation: 3x + 6 4x − =x 3 x−3 A. 1 B. 3 − 11 C. −3 D. −1 Rational Equations SLIDE 24 The length of rectangle R is 4 more than the width. If the width is w. What is the perimeter R in terms of w? A. 4w + 8 B. w 2 + 4w C. 8w + 4 D. w + 4 Perimeter SLIDE 25 Solve: 2 1 + = 35 5x A. 1 5 B. 5 C. 1 25 D. 7 Rational Expressions SLIDE 26 x The height of a box is 7 inches. Its length is 6 inches more than its width. Find the length if the volume is 280. A. 4 in. B. 7 in. C. 10 in. D. 40 in. Volume SLIDE 27 Solve the equation: 4𝑥 2 + 8𝑥 + 1 = 0 A. −2± 5 2 B. −2± 3 2 C. −2± 3 8 D. −8± 3 2 Quadratic formula SLIDE 28 Solve the equation by factoring 2x 2 + 11x + 12 = 0 A. B. C. D. 2 1 , 3 4 3 ,4 2 3 − , −4 2 2 {− , −4} 3 Factoring SLIDE 29 Consider the following 12 data points: 10, 12, 10, 18, 16, 15, 9, 14, 11, 13, 12, and 16. What is the median of these data points? A. 9 B. 12 C. 12.5 D. 13 Median SLIDE 30 Find the length of a rectangular lot with a perimeter of 82 m if the length is 5 m more than the width. A. 18 m B. 23 m C. 41 m D. 46 m Perimeter SLIDE 31 Solve: x + 3 A. 3 ± 5 B. −5 ± 3 C. −3 ± 5 D. 5 ± 3 Square root property SLIDE 32 2 −5=0 A movie theatre charges $8.00 for adults and $4.50 for children. One day the theatre sold 400 tickets and collected $2325 in receipts. How many children tickets were sold? A. 150 B. 250 C. 400 D. 100 System of linear equations SLIDE 33 Thank you! SLIDE 34
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