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Grade 8: Math subject test

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1. Simplify x^8·x^9.x^722x^17x^1x^17

2. Evaluate 2^(−8) exactly.1/256-256256-1/256

3. Multiply (2×10^8)(3×10^9); give normalized scientific notation.5×10^176×10^176×10^726×10^1

4. Add 3×10^8 and 4×10^7; give scientific notation.7×10^157×10^83.4×10^83.4×10^7

5. Between which consecutive whole numbers is √65?7 and 89 and 1064 and 658 and 9

6. Which supplied value, among fractions, repeating decimals and roots of 64 or 65, is irrational?√658/40.888… with the block 8 repeating√64

7. Approximate √66 to the nearest tenth; a calculator may be used.88.1933

8. Find the real cube root of −512.8-64-8-512

9. Solve 5x+9=2x+33.97168

10. How many real solutions does 8(x+2)=8x+16 have?Every real xExactly one, x=2No real xExactly two, x=0 and x=2

11. How many real solutions does 8x+9=8x+10 have?Every real xNo real xExactly one, x=1Exactly one, x=9

12. Solve x/2+x/3=40.49474896

13. Solve y=2x+1 and x+y=25.(17,8)(9,17)(8,18)(8,17)

14. Solve x+y=17 and x−y=-1.(8,9)(9,8)(17,-1)(10,8)

15. Classify y=8x+1 and y=8x+3.One intersection at x=0No intersection: parallel distinct linesInfinitely many intersectionsOne intersection at x=8

16. A fictional stand sells $2 tickets and $3 tickets. It sells 17 tickets for $43. How many $3 tickets were sold?10 tickets8 tickets9 tickets18 tickets

17. Among the supplied sets using inputs 8, 9 and 10, which defines y as a function of x?(8,1), (8,2), (9,3)(9,0), (9,1), (10,2)(10,2), (10,3), (8,1)(8,1), (9,1), (10,2)

18. At x=0,1,2,3 a rule has outputs 0,8,32,72. Which formula matches all four?y=8x²y=8xy=x+8y=8x³

19. A function has f(2)=8 and f(4)=32. What is its average rate of change from x=2 to x=4?13121124

20. A fictional box holds at most 13 whole markers. The input counts how many markers are in it. Which domain fits?All real numbers from 0 to 13All positive real numbersIntegers 0 through 13Integers greater than 13

21. Translate (-8,9) by vector (3,−2).(-11,11)(-5,11)(-24,-18)(-5,7)

22. Reflect (8,−9) across the y-axis.(−8,−9)(8,9)(−8,9)(−9,8)

23. Rotate (8,9) 90° counterclockwise about the origin.(9,−8)(−9,8)(−8,−9)(8,−9)

24. Reflect (8,9) across the x-axis, then translate by (1,2).(9,11)(9,-11)(9,-7)(-7,11)

25. Dilate (8,9) by scale factor 3 about the origin.(11,12)(8,27)(2,3)(24,27)

26. A right triangle has hypotenuse 40 cm and one leg 32 cm. Find its other leg.24 cm8 cm72 cm2624 cm

27. A valid triangle has complete side lengths (24, 32, 40). Which justified conclusion is correct?Not right: squared-side equality failsRight triangle: squared-side equality holdsRight triangle, because triangle inequality holdsCannot decide from complete side lengths

28. A rectangular box has dimensions 16,24,48 cm. Find its interior corner-to-opposite-corner diagonal.57 cm55 cm56 cm112 cm

29. A supplied scatter record has pairs (1,8), (2,10), (3,12), (4,14). Which description fits?Negative linear associationNo change in y as x changesThe record proves x causes yPositive linear association in this record

30. A supplied trend model is y=3x+8. What y does it predict at x=9?35363470

31. At x=8, model y=2x+1 predicts 17, but the observed y is 9. Find observed−predicted.8-8260

32. A model was fitted to measurements at x=2 through x=16. Which proposed prediction is extrapolation?Predicting at x=3Predicting at x=14Predicting at x=20Predicting at x=2

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