6th grade · Math · Unit 6 of 17
Equations
Order of operations, solve for n
What your child practices
Using the order of operations (brackets, then × and ÷, then + and −) and solving one-step equations like 6n = 42 with inverse operations, including writing equations for word problems.
Minnesota K-12 Academic Standards benchmark: 6.3.6.4 · solving one-step equations
How we explain it
Children can open this short lesson before they practice.
- 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
Equations in Minnesota
In the Minnesota K-12 Academic Standards, this is unit 6 of 17 in 6th grade Math, after Patterns & Graphs and before Perimeter & Area.
Gradelings describes a child's practice on this unit as Beginning, Approaching, Meeting or Exceeding (Four practice steps). That reflects practice, not a report-card mark: the teacher decides the mark.
Sample questions
A taste of this unit. In the app, questions change every time and get easier or harder to match your child.
Question 1
What is 14 + 4 × 3?
14 + 4 × 3 = ?
answer box
26
Hint: Order of operations: brackets first, then × and ÷ from left to right, then + and − from left to right. Multiply first: 4 × 3 = 12. Then add 14.
Question 2
Maya had some money, spent $12 on a book, and has $6 left. Which equation could find n, the amount Maya started with?
- n ÷ 12 = 6
- n − 12 = 6
- 12n = 6
- n + 12 = 6
n − 12 = 6
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 k.
k ÷ 9 = 7
answer box
63
Hint: Undo dividing: multiply both sides by 9. k = 7 × 9.
Question 4
Solve for y.
11y = 44
answer box
4
Hint: 11y means 11 × y. Undo multiplying: divide both sides by 11.
Question 5
A class splits into 3 equal teams with 5 students on each team. How many students are in the class?
answer box
15
Hint: Write an equation, like n ÷ 3 = 5. Then use the inverse operation to find n.
Question 6
Which step solves m − 50 = 46 for m?
m − 50 = 46
- Multiply both sides by 50
- Divide both sides by 50
- Subtract 50 from both sides
- Add 50 to both sides
Add 50 to both sides
Hint: Use the inverse (opposite) operation: subtraction undoes addition, and division undoes multiplication.