NTI Work Day #1 Math. 4. What is the slope of the line that passes through the origin and (-3, -2)? a. 3 2 b. 2 3 c. 0 d. 2 3 e.

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2 NTI Work Day #1 Math =? a. 4 b c. 7 d e The figure below is a graph of which of the following equations? a. y = -3x + 5 b. y = -2x + 2 c. y = 3 2 x 2 d. y = 2 3 x + 3 e. y = x Which of the following expressions correctly describes the mathematical relationship below? 3 less than the product of 4 times x a. 4x 3 b. 3x 4 c. 4(x 3) d. 3(4x) e. 4x 3 4. What is the slope of the line that passes through the origin and (-3, -2)? a. 3 2 b. 2 3 c. 0 d. 2 3 e Which of the following is the complete solution set for 2x + 4 = 12? a. {-8, 4} b. {-4, 8} c. {0, 8} d. {4, 8} e. {6, 8} 6. If f(x) = f(6)? a. 0 b. 3 c. 6 d. 7 e. 35 x 3 6 x 2 2x+6, then what is 7. If the average of 292, 305, 415, and x is 343, what is the value of x? a. 315 b. 337 c. 360 d. 364 e. 382

3 NTI Work Day #1 Math 8. If t is 5 more than s, and s is 3 less than r, what is t when r = 3? a. -5 b. -2 c. 1 d. 5 e Sarah has a wooden board that is 12 feet long. If she cuts three 28-inch pieces from the board, how many inches of the board will she have left? a. 14 b. 28 c. 36 d. 60 e A car rental agency charges $40 per day for the first 7 days, and $35 a day for each day after that. How much would Joe be charged if he rented a car for 10 days? a. $375 b. $385 c. $395 d. $405 e. $415

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5 NTI Day # 2 Math 1. If 4x + 18 = 38, then x = a. 3 b. 4.5 c. 5 d. 12 e In the figure, all angles are right angles and each dimension is given in inches. What is the perimeter of the figure in inches? a. 21 b. 35 c. 36 d. 54 e If x = 3 and y = 2, then 2x 2 5xy + y 2 =? a. -44 b. 16 c. 27 d. 52 e What is the solution set for the inequality below? 2x 3 > 5x + 6 a. x < -3 b. x = -3 c. x > -3 d. x < 4 e. x > 5 5. A rectangular room that is 3 feet longer than it is wide has an area of 54 square feet. How many feet long is the room? a. 6 b. 9 c. 15 d. 18 e Which of the following equations summarizes the data listed below? x y a. y = -2x 2 b. y = 2x 4 c. y = 2x + 3 d. y = 3x 2 e. y = 3x The formula for converting Celsius temperature to Fahrenheit temperature is F = 9 C If the current temperature 5 is 122 o Fahrenheit, what is the temperature in Celsius? a. 50 o b o c o d. 162 o e o 8. Which of the following, if any, is equivalent to the inequality x + 4 < 7? a. x < -3 and x > 3 b. x < -3 or x > 3 c. -3 < x < 3 d. -3 > x and x < x e. None of these 9. What is the slope of the line 4y = -2x + 4? a. -2 b. 1 2 c. 1 d. 2 e A line in the standard (x, y) coordinate plane contains the points (5, 9) and (8, 3). What is the x-intercept of this line? a. 19 b c. 0 d. -2 e. 19 2

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7 NTI Day #3 Math 1. What is the solution set for the inequality 6 4(x 2) > 4x + 5? a. x < 7 8 b. x < 1 4 c. x < 9 8 d. x > 7 8 e. x > Alana leaves home to drive to college. She drives 200 miles in 4 hours before stopping for gas. She then drives 10 miles per hour faster than she did on the first part of her trip, and arrives at her dorm in 3 hours. How many miles did she drive in total? a. 200 b. 300 c. 350 d. 380 e The monthly payment, M dollars, on a house that costs P dollars is given by the formula below. What is the monthly payment, to the nearest dollar, on a house that costs $200,000? M = a. $868 b. $880 c. $960 d. $1,060 e. $1,200 P.008P What is the value of the expression (y x) 3 when x = 5 and y = 1? a. -64 b. -4 c. 4 d. 16 e Josh pounded a stake into the ground. When he attached a leash to both the stake and his dog s collar, the dog could walk 12 feet from the stake in any direction. Using 3.14 for π, what is the approximate area of the lawn, in square feet, that the dog could roam while tied to the stake? (Area of a circle: A = πr 2 ) a. 38 b. 75 c. 151 d. 377 e A recipe calls for cooking a turkey 1 hour for every 3 pounds it weighs. How long should a 19-pound turkey cook? a. 6 hours and 15 minutes b. 6 hours and 20 minutes c. 6 hours and 30 minutes d. 6 hours and minutes e. 6 hours and 40 minutes 4. What is the slope-intercept form of the equation 3y + 2x = 24? a. y = 2x b. y = 3x c. 3 = 2m + b d. m = 2b + 24 e. y = 2x + 24

8 NTI Day #3 Math 8. A carpet company uses the following formula for estimating the number of square feet, A, of carpeting needed for a room x feet by y feet, containing a stairway w feet by z feet, with n stairs: A = xy + w[z(2n 1) + 2n] What is the company s estimate for the number of square feet of carpeting needed for a room that is 15 feet by 18 feet, containing a stairway that is 6 feet by 6 feet with 8 stairs? a. 826 b. 894 c. 906 d. 1,086 e. 1, If 3(2x 1) = 11x + 27, then x =? a. -6 b. -2 c. 2 d. 6 e What is the area, in square inches, of the figure shown below? (Area of a triangle: A = 1 2 (b 1 + b 2 )h ) a. 24 b. 32 c. 36 d. 42 e. 72

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10 NTI Day #4 Math 1. If x = 3, y = 5 and w = 4, what is the value of w 3 + 3w 2 x2 y? a. 9.0 b c d e. 1, If the graph of a line in the coordinate plane includes the points (2, 4) and (8, 7), what is the y-intercept of the line? a. 6 b. 4 c. 3 d. -1 e If 3 4 of x is 36, then 1 3 of x =? a. 9 b. 12 c. 16 d. 24 e If f(x) = (x 1)2, for what value of x is f(x) ( 2 x) undefined? a. -2 b. -1 c. 0 d. 1 e During the week shown in the graph below, what was the greatest increase in sales from one day to the next? a. $50 b. $100 c. $150 d. $200 e. $250

11 6. Which of the following is the graph of the inequality 2x? NTI Day #4 Math 8. A boy who is 4 feet tall stands in front of a tree that is 24 feet tall. If the tree casts a shadow that is 18 feet long on the ground, and the two shadows end at the same point, what is the length of the boy s shadow, in feet? a. b. a. 3 b. 4 c. 5 d. 6 e What is the equation of line l in the figure below? c. d. e. 7. If 2x 5 = 4x, then x =? 3 a. 1 a. y = 5 x b. y = 5 x c. y = 3 x d. y = 3 x e. y = 3 x b c. 0 5 d. 14 e. 1

12 NTI Day #4 Math 10. Using the Pythagorean Theorem (a 2 + b 2 = c 2 ), what is the length of side AC in triangle ABC graphed on the coordinate plane below? a. 3 b. 4 c. 5 d. 6 e. 7

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14 NTI Day #5 Math 1. Which of the following represents the solution to the inequality x + 2? a. b. c. d. e. 2. What is (x 3 4x 2 + 5) (3x 3 + 6x 2 9) equivalent to? a. -2x 3 10x b. 4x 3 + 2x 2 4 c. -2x 6 10x d. -2x 3 + 2x 2 4 e. -2x 3 10x What is the area in centimeters of the polygon below? 5. A rectangle is four times as long as it is wide. If the width of the rectangle is 4.5 cm, what is the rectangles area, in square centimeters? a. 17 b. 18 c. 45 d. 72 e Which of the following is the set of solutions to the inequality 2 x + 5 < 1 (2x + 9)? 3 3 a. x < 6 b. x > -- 6 c. x > 6 d. No Solution e. All Real Numbers 7. What is the slope between (-2, 5) and (0, 8)? a. 3 2 b. 2 3 c. 7 8 d. 8 7 a. 30 b c. 35 d. 42 e A function f is defined by f(x) = 3x 2 + 4x. What is the value of f(4)? a. -40 b. -32 c. 32 d. 52 e. 136 e is 10% of what number? a. 7 b. 63 c. 77 d. 700 e. 7, What is the smallest positive integer that is divisible by 3, divisible by 5 and divisible by 6 (with no remainders)? a. 15 b. 30 c. 60 d. 90 e. 180

15 NTI Day #5 Math 10. Which of the following inequalities specifies precisely the real values of x that are solutions to the inequality 5 < 3x 7? a. x < 4 b. x < 2 3 c. x > 2 3 d. x < 2 3 e. x > 4