Section A Section A Checkpoint

Problem 1

Find the exact side length of a square, in units, if its area in square units is:

  1.  49

  2. 23\frac23

  3. 481\frac{4}{81}

  4. 0.25

  5. 1.29

  6. 57

Show Solution
Solution

  1. 7

  2. 23\sqrt{\frac23}

  3. 29\frac29

  4. 0.5

  5. 1.29\sqrt{1.29}

  6. 57\sqrt{57}

Show Sample Response
Sample Response

  1. 7

  2. 23\sqrt{\frac23}

  3. 29\frac29

  4. 0.5

  5. 1.29\sqrt{1.29}

  6. 57\sqrt{57}

Problem 2

The numbers xx, yy, and zz are positive where x2=5x^2=5, y2=23y^2=23, and z2=64z^2=64.

Plot xx, yy, and zz on the number line.

A number line that shows the integers from negative 3 to 9

Show Solution
Solution
Show Sample Response
Sample Response

Problem 3

Decide whether each number in this list is rational or irrational.

  1. 0.13‾0.\overline{13}

  2. - 81\text-\,\sqrt{81}

  3. 227\frac{22}{7}

  4. 10\sqrt{10}

  5. -5.867\text- 5.867

  6. 42\sqrt{42}

Show Solution
Solution
  1. Rational
  2. Rational
  3. Rational
  4. Irrational
  5. Rational
  6. Irrational
Show Sample Response
Sample Response
  1. Rational
  2. Rational
  3. Rational
  4. Irrational
  5. Rational
  6. Irrational