Extra Set

Grade 6 · Unit 6 · MIA · Version A · 3D9E

Mixed set · Unit 6

Name ________________

Date ________________

Period ________________

1.
Write the opposite of 10.
Answer. −10
The opposite of 10 is −10.
2.
Order −1, 5, and 7 from least to greatest.
Answer. −1, 5, 7
On a number line, farther left is smaller: −1, 5, 7.
3.
Evaluate |11|.
Answer. 11
Absolute value is distance from 0, so |11| = 11.
4.
Solve 2x ≥ 20. Write the inequality for x.
Answer. x ≥ 10
Divide both sides by 2 (positive, so the inequality direction stays): x ≥ 10.
5.
In which quadrant is the point (−6, 6)? Write a complete answer — Sam will compare with a partner.
Answer. Quadrant II
x is negative and y is positive → Quadrant II.
6.
Point A is (-4, -1) and point B is (1, -1). What is the distance AB? Then Jonah needs 5 of that amount. What is the total they need?
Answer. 25
Same y-coordinate, so distance = |1 − -4| = 5. Then multiply by 5: 25.
7.
Grace is on a number line at 0 and moves 3 units left. What number is Grace on? Then Mei needs 2 of that amount. What is the total they need?
Answer. −6
Left of 0 is negative: −3. Then multiply by 2: −6.
8.
Order 3, −7, and 4 from least to greatest. Then Sam needs 4 of that amount. What is the total they need?
Answer. −28, 3, 4
On a number line, farther left is smaller: −7, 3, 4. Then multiply by 4: −28, 3, 4.
9.
Evaluate |−5|. Then Nora needs 4 of that amount. What is the total they need?
Answer. 20
Absolute value is distance from 0, so |−5| = 5. Then multiply by 4: 20.
10.
Solve 8x < 72. Write the inequality for x. Then Ava needs 3 of that amount. What is the total they need?
Answer. x < 27
Divide both sides by 8 (positive, so the inequality direction stays): x < 9. Then multiply by 3: x < 27.
11.
Think
Ava tried this problem:
In which quadrant is the point (6, 2)?
Ava wrote Quadrant I (check this). That is not correct. What is the right answer?
Answer. Quadrant I
Ava’s answer Quadrant I (check this) is off. x is positive and y is positive → Quadrant I.
12.
Think
Mei tried this problem:
Point A is (-3, 1) and point B is (3, 1). What is the distance AB?
Mei wrote -6. That is not correct. What is the right answer?
Answer. 6
Mei’s answer -6 is off. Same y-coordinate, so distance = |3 − -3| = 6.

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

MIA · Mixed set · Unit 6