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.
Maine Learning Results learning standard: 6.EE.B.5; 6.EE.B.7 · solving one-step equations of the form x + p = q and px = q
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 Maine
In the Maine Learning Results, 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.
Source: Maine Department of Education
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 (15 + 2) × 5?
(15 + 2) × 5 = ?
answer box
85
Hint: Order of operations: brackets first, then × and ÷ from left to right, then + and − from left to right. Brackets first: 15 + 2 = 17. Then multiply by 5.
Question 2
Solve for k.
k + 30 = 84
answer box
54
Hint: Undo adding 30: subtract 30 from both sides. k = 84 − 30.
Question 3
Which step solves m + 35 = 84 for m?
m + 35 = 84
- Subtract 35 from both sides
- Add 35 to both sides
- Divide both sides by 35
- Multiply both sides by 35
Subtract 35 from both sides
Hint: Use the inverse (opposite) operation: subtraction undoes addition, and division undoes multiplication.
Question 4
Kenji buys 7 packs of stickers with the same number in each pack. That's 70 stickers in all. Which equation could find n, the number of stickers in one pack?
- 7n = 70
- n ÷ 7 = 70
- n + 7 = 70
- n − 7 = 70
7n = 70
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 5
Solve for m.
m − 37 = 42
answer box
79
Hint: Undo subtracting 37: add 37 to both sides. m = 42 + 37.
Question 6
Solve for y.
11y = 110
answer box
10
Hint: 11y means 11 × y. Undo multiplying: divide both sides by 11.