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Laabri

Review: Numbers Part 1

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Last updated over 2 years ago
29 Nsɛmmisa
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Skills on review here:

  • Number system notation and Forms of numbers: using forms of numbers to classify a number as a rational, irrational, integer

  • Exploration into the nature of Irrational Numbers

  • Simplification of surds, roots and radicals

  • Radicals addition, subtraction, multiplication and division

  • Rationalising the denominator

  • Absolute values

  • Absolute value equations

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1.

Which of the following is a rational number?

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2.

Which type of number is -8/3?

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3.

Simplify √12.

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4.

Simplify √72

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5.

Which expression is equivalent to √12?

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6.

Which operation(s) can be performed between radicals with the same index?

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7.

What is the result of √5 - √3?

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8.

What is the result of √12 + √27?

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9.

Simplify: sqrt(50) + sqrt(2) - sqrt(8) ÷ sqrt(2)

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10.

What is the simplified value of (5+sqrt(7))/(sqrt(7)-2)?

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11.

What is the rationalized form of 1/(√3-2)?

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12.

Which is the best way to rationalize the denominator?

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13.

What is the absolute value of -7?

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14.

Plot |x| = 5 on the number line.

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23.

Solve.

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24.

Simplify the following expression:

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25.

Simplify the following expression:

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26.

Simplify the following expression:

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27.

Put into simplest radical form.

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28.

Put into simplest radical form.

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29.

Which of the following is an irrational number?

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15.

|3x+12|=0

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16.

|3x+12|=0

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17.

|y+2|=8

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18.

|y+2|=8

Write the answer in order of size e.g. -5, 5 (space after comma)

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19.

−4|7−6k| =14

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20.

−4|7−6k| =14

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21.

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22.

Write the answer in order of size e.g. -5, 5 (space after comma)