Grade 6 Equations worksheet
from Gradelings · Name: ______________________
How to explain it
- Follow the order of operations: brackets first.
- Then multiply and divide, left to right.
- Then add and subtract, left to right.
Example: 4 + 3 × 2 = ? Multiply first: 3 × 2 = 6. Then add: 4 + 6 = 10. Answer: 10
Question 1
What is the value of 5 + 3 × 8?
5 + 3 × 8 = ?
- 23
- 16
- 29
- 64
29
Hint: Order of operations: brackets first, then × and ÷ from left to right, then + and − from left to right. Multiply first: 3 × 8 = 24. Then add 5.
Question 2
A bag of n apples is shared equally among 3 friends. Each friend gets 7 apples. Which equation fits?
- n + 3 = 7
- 3n = 7
- n ÷ 3 = 7
- n − 3 = 7
n ÷ 3 = 7
Hint: Ask what happens to the unknown amount n: is something added to it, taken away, multiplied or shared? Write that action with n.
Question 3
Solve for m.
m − 11 = 33
answer box
44
Hint: Undo subtracting 11: add 11 to both sides. m = 33 + 11.
Question 4
Solve for y.
10y = 80
answer box
8
Hint: 10y means 10 × y. Undo multiplying: divide both sides by 10.
Question 5
Amir had some hockey cards. After getting 38 more, Amir has 64. How many cards did Amir start with?
answer box
26
Hint: Write an equation, like n + 38 = 64. Then use the inverse operation to find n.
Question 6
Solve for x.
x + 37 = 46
answer box
9
Hint: Undo adding 37: subtract 37 from both sides. x = 46 − 37.
Question 7
What is 19 − 6 ÷ 2?
19 − 6 ÷ 2 = ?
answer box
16
Hint: Order of operations: brackets first, then × and ÷ from left to right, then + and − from left to right. Divide first: 6 ÷ 2 = 3. Then subtract it from 19.
Question 8
Which step solves 8x = 64 for x?
8x = 64
- Subtract 8 from both sides
- Add 8 to both sides
- Multiply both sides by 8
- Divide both sides by 8
Divide both sides by 8
Hint: Use the inverse (opposite) operation: subtraction undoes addition, and division undoes multiplication.
Question 9
Which step solves x ÷ 5 = 6 for x?
x ÷ 5 = 6
- Add 5 to both sides
- Divide both sides by 5
- Multiply both sides by 5
- Subtract 5 from both sides
Multiply both sides by 5
Hint: Use the inverse (opposite) operation: subtraction undoes addition, and division undoes multiplication.
Question 10
What is 4 + 2 × 5?
4 + 2 × 5 = ?
answer box
14
Hint: Order of operations: brackets first, then × and ÷ from left to right, then + and − from left to right. Multiply first: 2 × 5 = 10. Then add 4.
Answer key
- 1. 29
- 2. n ÷ 3 = 7
- 3. 44
- 4. 8
- 5. 26
- 6. 9
- 7. 16
- 8. Divide both sides by 8
- 9. Multiply both sides by 5
- 10. 14
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