Cogito
Grade 6 Math · Chapter 6 · Lesson 2
Solving One-Step Equations
Do the same to both sides.
10 problems · about 17 minutes · 6.EE.B.7
What this lesson teaches
The child solves equations of the form x + p = q and px = q and checks the solution.
- Undo the operation that was done to the variable.
- Do the same to both sides so they stay equal.
- Check by substituting the answer back in.
Warm-Up Review
From earlier lessons. Loosen up before the new work.
2 problemsReview — What Solving Means: What value of n makes n + 8 = 15 true?
Answer 7
Why 7.
Review — Expanding Brackets: Expand 5(n + 3). What is the number term?
Answer 15
Why 5n + 15.
Warm Up
Straightforward practice. Get the method working first.
4 problemsSolve 8n = 96.
Answer 12
Why n = 12.
Why do you do the same thing to both sides?
Answer So the two sides stay equal.
Why Changing only one side would break the equality.
Solve n + 7 = 20.
Answer 13
Why Subtract 7.
Solve 4n = 36.
Answer 9
Why Divide by 4.
Build It Up
The same ideas with more to keep track of.
2 problemsSolve n − 5 = 12.
Answer 17
Why Add 5.
Solve 9n = 72.
Answer 8
Why Divide by 9.
Stretch Yourself
Mixed problems. Work out what kind of question it is before you start.
2 problemsThe Missing Number: Solve n + 12 = 30.
Answer 18
Why n = 18.
The Boxes: 6 boxes hold n pens each, 54 pens in all. Solve 6n = 54.
Answer 9
Why n = 9.