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# MAFS.6.EE.2.7

Solve real-world and mathematical problems by writing and solving equations of the form x + p = q and px = q for cases in which p, q and x are all non-negative rational numbers.

Subject Area: Mathematics
Grade: 6
Domain-Subdomain: Expressions & Equations
Cluster: Level 2: Basic Application of Skills & Concepts
Cluster: Reason about and solve one-variable equations and inequalities. (Major Cluster) -

Clusters should not be sorted from Major to Supporting and then taught in that order. To do so would strip the coherence of the mathematical ideas and miss the opportunity to enhance the major work of the grade with the supporting clusters.

Date Adopted or Revised: 02/14
Date of Last Rating: 02/14
Status: State Board Approved
Assessed: Yes

### Remarks/Examples

Examples of Opportunities for In-Depth Focus

When students write equations of the form x + p = q and px = q to solve real-world and mathematical problems, they draw on meanings of operations that they are familiar with from previous grades’ work. They also begin to learn algebraic approaches to solving problems.16

16 For example, suppose Daniel went to visit his grandmother, who gave him \$5.50. Then he bought a book costing \$9.20 and had \$2.30 left. To find how much money he had before visiting his grandmother, an algebraic approach leads to the equation x + 5.50 – 9.20 = 2.30. An arithmetic approach without using variables at all would be to begin with 2.30, then add 9.20, then subtract 5.50. This yields the desired answer, but students will eventually encounter problems in which arithmetic approaches are unrealistically difficult and algebraic approaches must be used.

### TEST ITEM SPECIFICATIONS

• Item Type(s): This benchmark may be assessed using: MC , EE item(s)

• Assessment Limits :
Numbers in items should not require students to perform operations with negative rational numbers or result in answers with negative rational numbers. Items must be one-step linear equations with one variable.
• Calculator :

No

• Context :

Allowable

### SAMPLE TEST ITEMS (3)

• Test Item #: Sample Item 2
• Question: Suzie buys a salad for \$5.12 and is given \$14.88 as change.

Which equation represents the situation if ???? is the amount Suzie had before she bought the salad?

• Difficulty: N/A
• Type: MC: Multiple Choice

• Test Item #: Sample Item 3
• Question:

This question has two parts.

Syrilla sells homemade scarves for \$4 each.

Part A. Which equation could be used to find the number of scarves, x, Syrilla needs to sell in order to earn \$200?

Part B. How many scarves does Syrilla need to sell?

• Difficulty: N/A
• Type: MC: Multiple Choice