UA · Unit 6 review

1. 1.

   Mei is on a number line at 0 and moves 10 units left. What number is Mei on?

   Answer. −10

   Left of 0 is negative: −10.

2. 2.

   Order −8, −7, and 0 from least to greatest.

   Answer. −8, −7, 0

   On a number line, farther left is smaller: −8, −7, 0.

3. 3.

   Evaluate |4|.

   Answer. 4

   Absolute value is distance from 0, so |4| = 4.

4. 4.

   Solve 8x > 32. Write the inequality for x.

   Answer. x > 4

   Divide both sides by 8 (positive, so the inequality direction stays): x > 4.

5. 5.

   In which quadrant is the point (2, 6)? Write a complete answer — Ava will compare with a partner.

   Answer. Quadrant I

   x is positive and y is positive → Quadrant I.

6. 6.

   Point A is (0, 0) and point B is (2, 0). What is the distance AB? Then Nora needs 5 of that amount. What is the total they need?

   Answer. 10

   Same y-coordinate, so distance = |2 − 0| = 2. Then multiply by 5: 10.

7. 7.

   Ava is on a number line at 0 and moves 11 units left. What number is Ava on? Then Jonah needs 4 of that amount. What is the total they need?

   Answer. −44

   Left of 0 is negative: −11. Then multiply by 4: −44.

8. 8.

   Order −3, 5, and −4 from least to greatest. Then Owen needs 5 of that amount. What is the total they need?

   Answer. −20, −3, 5

   On a number line, farther left is smaller: −4, −3, 5. Then multiply by 5: −20, −3, 5.

9. 9.

   Evaluate |3|. Then Owen needs 3 of that amount. What is the total they need?

   Answer. 9

   Absolute value is distance from 0, so |3| = 3. Then multiply by 3: 9.

10. 10.

    Solve 5x < 55. Write the inequality for x. Then Elena needs 5 of that amount. What is the total they need?

    Answer. x < 55

    Divide both sides by 5 (positive, so the inequality direction stays): x < 11. Then multiply by 5: x < 55.

11. 11.

    Think

    Theo tried this problem:
    In which quadrant is the point (−6, −4)?
    Theo wrote Quadrant III (check this). That is not correct. What is the right answer?

    Answer. Quadrant III

    Theo’s answer Quadrant III (check this) is off. x is negative and y is negative → Quadrant III.

12. 12.

    Think

    Sam tried this problem:
    Point A is (-5, 3) and point B is (0, 3). What is the distance AB?
    Sam wrote -5. That is not correct. What is the right answer?

    Answer. 5

    Sam’s answer -5 is off. Same y-coordinate, so distance = |0 − -5| = 5.

Original extra practice. Keys are computed from the items, not guessed.