Algebra

Algebra Questions With Answers 

1. Write 230,000,000,000 in scientific notation.

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2. Evaluate: 30 - 12÷3×2 =

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3. Evaluate: |4 - 8(3 - 12)| - |5 - 11| =

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4. Evaluate: -18 + 4(6 ÷ 2)²

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5. Evaluate: 11 + sqrt(-4 + 6×4÷3)

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6. Simplify: 12x³ - 3(2x³ + 4x -1) - 5x + 7

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7. Simplify: (x⁴ / x³)³

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8. Simplify: (3x²y^-2)³ / (9xy³)³

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9. Simplify: (2x^-3y⁴)³(x³ + y)⁰ / (4xy^-2)³

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10. Write as a mathematical inequality:"9 is less than the product of M and N".

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11. Find the slope of the line perpendicular to the line y = (1/3)x - 7

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12. Write an equation of the line with slope -3 and y-intercept (0 , -5).

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13. Solve the equation: -5x + 20 = 25

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14. Solve the inequality: -3x + 4 < -8

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15. Solve the equation: 2x² - 32 = 0

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16. Solve the equation: -0.25x + 1.3 = -0.55x - 0.2

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17. Solve the equation: -0.25x² + 1.5 = -10.75

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18. What is the slope of a line perpendicular to the line x = -3?

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19. What is the slope of a line parallel to the line x = 5?

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20. What is the slope of a line perpendicular to the line y = 6?

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Answers to the Above Questions

1. 2.3 × 10¹¹
2. 22
3. 70
4. 18
5. 13
6. 6x³ -17x + 10
7. x³
8. (1/27)(x³ / y¹⁵)
9. (1/8)(y¹⁸ / x¹²)
10. 9 < M × N
11. -3
12. y = -3x - 5
13. -1
14. x > 4
15. -4 , 4
16. -5
17. -7 , 7
18. 0
19. undefined
20. undefined