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Grade 9: Math subject test

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1. What is the degree of 8x^10−9x²+12?83210

2. Add (8x²+3x−1)+(9x²−x+4).17x²+2x+317x⁴+2x+317x²+4x+317x²+2x−5

3. Expand (x+8)(x+9).x²+72x²+17x+72x²+72x+172x+17

4. Factor x²−64.(x−8)²(x−64)(x+1)(x−8)(x+8)x(x−64)

5. Solve |x−8|=9.x=17 onlyx=1 onlyNo solution because an absolute value is positivex=-1 or x=17

6. Solve 17≤2x+1<23.8≤x<118<x≤118≤x≤1116≤x<22

7. For what real k does kx+8=10x+9 have no solution?010911

8. Rearrange E=(u+v)/2 to solve for v.v=E/2−uv=2E+uv=2E−uv=2(E−u)

9. Which line of slope 3 passes through (8,9)?y−8=3(x−9)y+9=3(x+8)y=33xy−9=3(x−8)

10. What is the slope of 2x+8y=9?-1/41/4-49/8

11. Find both intercepts of 2x+3y=48.(16,0) and (0,24)(24,0) and (0,16)(2,0) and (0,3)(48,0) and (0,48)

12. For f(x)=x when 0≤x≤8, and f(x)=8+2(x−8) when x>8, find f(11).15131428

13. Solve 2x+y=25 and x−y=-1.(9,8)(25,-1)(10,8)(8,9)

14. Which point satisfies x≥0, y≥0 and x+y≤16?(8,8)(9,8)(−1,8)(8,−1)

15. How should y<2x+8 be represented on a coordinate plane?Solid boundary line; shade below itDashed boundary line; shade below itDashed boundary line; shade above itSolid boundary line; shade above it

16. For x≥0, y≥0, x+y≤11, maximize P=2x+3y.34323366

17. Factor x²−17x+72.(x+8)(x+9)(x−72)(x−1)(x−17)²(x−8)(x−9)

18. Solve (x−8)(x+9)=0.x=8 or x=−9x=−8 or x=9x=-1x=8 only

19. What constant makes x²+16x+___ a perfect-square trinomial?656463128

20. Solve (x−8)²=81.x=17 onlyx=89x=-1 or x=17x=-73 or x=89

21. Solve 2x²−34x+144=0 using the quadratic formula.x=−8 or x=−9x=17 onlyx=16 or x=18x=8 or x=9

22. How many real roots does x²+16x+73=0 have?No real rootsTwo distinct real rootsOne repeated real rootEvery real number is a root

23. Find the vertex of y=(x−8)²−9.(−8,−9)(8,−9)(8,9)(0,55)

24. Compare y=−2(x−8)²+9 with y=x².Only shift left and downReflect across y-axis, then shift leftReflect across x-axis, stretch vertically by 2, shift right and upOpen upward and compress vertically by 2

25. A fictional model doubles each period from 80. What is the amount after 3 full periods?6416391280640

26. A fictional model loses 20% each period from 800. What remains after two periods?5125135111024

27. A geometric sequence starts with a₁=8 and ratio 2. Find a_9.2049204820474096

28. The outputs at inputs 0,1,2,3 are 8,16,32,64. Which rule describes them?y=8+2xy=8·3^xy=8·2^xy=8x²

29. For the complete supplied data [8, 9, 10, 11, 22], which pair is (mean, median)?(10, 12)(22, 10)(12, 11)(12, 10)

30. For sorted data [9, 17, 25, 33, 41, 49], use the median of each three-value half for Q1 and Q3. Find IQR.2440168

31. For data [8, 16, 24], find mean absolute deviation from the mean, exactly.016/3816

32. Data 8,9,10,11,12 change only by replacing the largest value with 57. Which statement is true?Both mean and median stay the sameThe median increases by 45The mean increases; the median stays the sameThe mean decreases

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