Grade 7 Mathematics Unit 2 | Practice Workbook

Grade 7 Mathematics Unit 2 | Practice Workbook

Download the fillable and printable workbook (PDF). Save completed work privately. Read the matching student lesson before each set.

Day 1: Integers, opposites and distance

1. Order -5, 2, 0, -1 from least to greatest.
2. Write the opposite of -12.
3. Find |-9|.
4. Compare -8 and -3 using <, >, or =.
5. Find the distance between -4 and 6.
6. Which is farther from zero: -11 or 9?
7. A diver is 14 meters below sea level. Represent the position as an integer.
8. Explain why |-5| and |5| are equal.

Day 2: Adding integers

1. -7 + 12
2. -8 + (-6)
3. 9 + (-13)
4. -15 + 15
5. -3 + 11 + (-4)
6. A temperature starts at -2 °C and rises 7 °C. What is the final temperature?
7. A balance is -$18 and increases by $11. What is the new balance?
8. Explain why -4 + 4 = 0.

Day 3: Subtracting integers

1. 7 – 12
2. -6 – 3
3. -8 – (-2)
4. 4 – (-9)
5. -5 – (-11)
6. Find the signed temperature change from 4 °C to -3 °C.
7. A depth changes from -12 m to -5 m. Find the signed change.
8. Explain how to check 2 – (-6) = 8 by addition.

Day 4: Multiplication, division and rational numbers

1. (-7) × 4
2. (-6) × (-5)
3. 36 ÷ (-9)
4. (-42) ÷ (-7)
5. (-3/4) × 8
6. (-2.5) × 4
7. Is 0.333… rational? Write it as a fraction.
8. Explain why 12 ÷ 0 has no defined value.

Day 5: Independent assessment and application

1. Order -9, 4, -2, 0 from least to greatest.
2. Find the distance between -6 and 5.
3. Compute -14 + 9.
4. Compute -3 – (-8).
5. Compute (-6) × (-7).
6. Compute (-32) ÷ 8.
7. The temperature changes from -5 °C to 6 °C. Find the signed change.
8. A diver is at -18 m, rises 7 m, then descends 4 m. Find the final position and explain.

Separate teacher guide and answer key