6.AT.8
Lesson 8-3-part2
Apply Day · Set B
MASTERY CHECK
☐ Exceeds☐ Meets Target☐ Needs Practice
8.3 · Part II
Second Practice Form · Independent Application and Spiral Review
Solve Multiplication and Division Equations · Inverse operation
■ ADVANCED CONCEPT ANCHOR: 8.3 · Part II
1Solving Multiplication & Division Equations
2The Structural Procedure
- Identify the operation applied to the variable
- Use the inverse operation: Divide to undo multiplication; multiply to undo division
- Balance: Apply the inverse operation to both sides to isolate the variable
3Mathematical Word Bank
- Solve Multiplication and Division Equations (Resolver ecuaciones de multiplicación y división) — Use inverse multiplication or division to isolate the variable.
- Inverse operation (Operación inversa) — Two math actions that undo each other, like × and ÷.
- Multiply (Multiplicar) — To add equal groups again and again.
- Divide (Dividir) — To split into equal groups.
- Isolate (Despejar) — To get the letter by itself on one side.
- Coefficient (Coeficiente) — The number in front of a letter, like the 3 in 3x.
4Watch out
- A common mistake in Solve Multiplication and Division Equations is applying the SAME operation again instead of the inverse — for example, seeing 6x = 42 and multiplying both sides by 6 to get x = 252, instead of dividing by 6 to get x = 7. Before you submit, ask: did I use the OPPOSITE operation shown in the equation, and did I apply it to both sides?
SECTION 1
REAL-WORLD CONTEXTS & PROBLEM SOLVING
[Applications]
-
1 MULTIPLE CHOICE
(Lesson 8.2) Solve: x + 9 = 15
- Ax = 6
- Bx = 24
- Cx = 9
- Dx = 15
✏️ Workspace & Solution Steps -
2 MULTIPLE CHOICE
(Lesson 8.2) Solve: y − 7 = 20
- Ay = 27
- By = 13
- Cy = 7
- Dy = 140
✏️ Workspace & Solution Steps -
3 MULTIPLE CHOICE
Vault C is sealed with 5n = 45. Crack the lock: what is n?
- An = 9
- Bn = 225
- Cn = 40
- Dn = 50
✏️ Workspace & Solution Steps -
4 MULTIPLE CHOICE
Solve: 6x = 42
- Ax = 7
- Bx = 48
- Cx = 36
- Dx = 252
✏️ Workspace & Solution Steps -
5 MULTIPLE CHOICE
Solve: n / 3 = 8
- An = 24
- Bn = 11
- Cn = 5
- Dn = 3
✏️ Workspace & Solution Steps -
6 MULTIPLE CHOICE
Solve: 9m = 63
- Am = 7
- Bm = 54
- Cm = 72
- Dm = 567
✏️ Workspace & Solution Steps
SECTION 2
MATHEMATICAL WRITING & ERROR ANALYSIS
[Reasoning & Critique]
-
7 OPEN RESPONSE
A bakery packed muffins into boxes of 8. They made 96 muffins total. Write an equation, solve it, and explain why your answer is reasonable. Then write a different situation that uses division and has the same answer.
✏️ Mathematical Justification & Response
📐 CER MATHEMATICAL PROOF MATRIX (CER 2.0)
SMP.3 / Proof & Justification
Writing Task: Justify why your mathematical solution is accurate and complete.
C Claim
State your direct mathematical answer/claim with units.
E Evidence
Cite exact numbers, calculations, dimensions, or graph data.
R Reasoning
Explain the mathematical theorem, property, or definition connecting evidence to claim.