Arizona s Instrument to Measure Standards (AIMS) Mathematics
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1 Arizona s Instrument to Measure Standards (AIMS) Mathematics Administered Spring, 2005 Released Items November 15, 2005
2 1. Which of the following represents a translation of the figure? 2. Student council is planning lunchtime activities for Spirit Week. They want to survey students to determine which activities are the most popular. Which of the following is the best group for them to survey? A The Freshman, JV, and Varsity football teams. B The Dance Team and the Band. C The Speech Club and the Drama Club. D One English class at each grade level. Arizona Department of Education 4 of 26 Released
3 3. Which of the following expressions is equivalent to (6xy) 2? A 12x 2 y 2 B 6xy 2 C 36x 2 y 2 D 6x 2 y 2 4. Which of the following transformations always preserves the dimensions of a figure? I. translation II. rotation III. reflection IV. dilation A I, II, and III B I, II, and IV C I, III, and IV D II, III, and IV 5. Which statement is true about the graphs of these equations? y = 6x + 4 y = 5x 2 A The lines intersect, but are not perpendicular. B The lines are parallel. C The lines are perpendicular. D The lines coincide (same line). Arizona Department of Education 5 of 26 Released
4 6. Evaluate the expression 2(x 3) + 3y when x = 5 and y = 3. Mark the correct answer. A 13 B 15 C 16 D Steps 1 and 2 describe an algorithm. Step 1: Isolate the variable. Step 2: Take the square root of both sides of the equation. You now have your answer. Which of these equations can be solved by the algorithm above? I. x 2 2x 3 = 0 II. x + 5 = 0 III. x 2 9 = 0 IV. x 3 + 2x + 6 = 0 A I B II C III D IV 8. Which is the solution to the following inequality? A x 8 B x 1 C x 8 2x 7 9 D x 1 Arizona Department of Education 6 of 26 Released
5 9. Which of these is equivalent to the equation below? 10. Which point best represents the solution to the system of linear equations shown in the graph below? A ( 4, 3) B (3, 4) C (4, 3) D ( 3, 4) Arizona Department of Education 7 of 26 Released
6 11. Which of the following addition properties justifies the statement below? = 2 A Commutative B Identity C Inverse D Closure 12. A car made a trip of 352 miles on 16.8 gallons of gasoline. Which is closest to the number of miles per gallon the car got on that trip? A 10 mpg B 20 mpg C 30 mpg D 40 mpg 13. The table represents how the air temperature combines with the humidity to form the heat index. Which statement is correct? A As the humidity and temperature decrease, the heat index increases. B As the humidity and temperature increase, the heat index decreases. C As the humidity increases and the temperature decreases, the heat index increases. D As the humidity and temperature increase, the heat index increases. Arizona Department of Education 8 of 26 Released
7 14. Sally wrote the number pattern shown below. 1, 2, 4, 7,... She noticed another pattern when she found that the difference between consecutive numbers increased by 1 as shown below If the difference continues to increase by 1, what will be the next two terms of the original pattern? A 10, 13 B 10, 14 C 11, 15 D 11, Which linear equation best represents the data in the table shown below? x y A y = ½ x B y = x 1 C y = 2x 3 D y = 2x + 5 Arizona Department of Education 9 of 26 Released
8 16. What is the apparent image of X when triangle WXY is translated 2 units down and 5 units right? A (1, 3) B (3, 1) C (4, 6) D (6, 4) Arizona Department of Education 10 of 26 Released
9 17. Which of the following represents the graph of the equation below? y = x 2 4 Arizona Department of Education 11 of 26 Released
10 18. Which of the following could be a correct procedure for solving the inequality shown below? 4x + 6 6x + 15 A 4x + 6 6x +15 2x x 9 9 x 2 B 4x + 6 6x +15 2x x x 2 C 4x + 6 6x +15 2x x 9 9 x 2 D 4x + 6 6x +15 2x x 9 21 x What is the value of the expression below? A 1 B 3 C 7 D 11 Arizona Department of Education 12 of 26 Released
11 20. Which of the following could represent a census of a school? A sophomore class B P.E. classes C math club members D entire student body 21. Which of the following is always true? A A rectangle is a square. B A rhombus is a rectangle. C A parallelogram is a rhombus. D A rectangle is a parallelogram. 22. Which principle of congruence could be used to prove triangle RST is congruent to triangle XYZ? A Side-Side-Side (SSS) B Side-Angle-Side (SAS) C Angle-Side-Angle (ASA) D Side-Side-Angle (SSA) Arizona Department of Education 13 of 26 Released
12 23. The statements below are out of order. W: If blitz, then kerd. X: If mot, then det. Y: If kerd, then mot. Z: If toc, then blitz. Which of the following puts the nonsensical if-then statements in logical order? A W Z X Y B Z W Y X C W Y X Z D Z X Y W 24. Each event described below is performed randomly. Which is a dependent event? A From a bag of 10 marbles (4 red, 6 blue), Sam pulls a blue marble, puts it back, and then pulls a red marble. B On a spinner with 6 congruent sectors numbered 1 through 6, Greg first spins a 4 and then a 2 on the second spin. C From a pack of 20 cards, Jose picks 1 card, sets it aside, and then picks a matching card on his second try. D Monica tosses a fair coin two consecutive times, and it lands on heads both times. Arizona Department of Education 14 of 26 Released
13 25. Ginger left school at 3:00 P.M. and walked home, but went back to school for a book. She then walked home, had a snack, and took a bus downtown. Later, she took a bus home, arriving at 5:00 P.M. Which of the following statements is true? A Ginger s maximum distance from home was 2 miles. B Ginger s minimum distance from home was 0.5 miles. C At 3:30 P.M., Ginger is at her furthest distance from home. D At 4:30 P.M., Ginger is back at her home. Item Item Data Arizona Department of Education 15 of 26 Released
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Given that m A = 50 and m B = 100, what is m Z? A. 15 B. 25 C. 30 D. 50
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