*For example: If a woman making $25 an hour gets a 10% raise, she will make an additional 1/10 of her salary an hour, or $2.50, for a new salary of $27.50. If you want to place a towel bar 9 3/4 inches long in the center of a door that is 27 1/2 inches wide, you will need to place the bar about 9 inches from each edge; this estimate can be used as a check on the exact computation.*

### Remarks

**Fluency Expectations or Examples of Culminating Standards**

Students solve multistep problems posed with positive and negative rational numbers in any form (whole numbers, fractions, and decimals), using tools strategically. This work is the culmination of many progressions of learning in arithmetic, problem solving and mathematical practices.

**Examples of Opportunities for In-Depth Focus**

This is a major capstone standard for arithmetic and its applications.

**Subject Area:**Mathematics

**Grade:**7

**Domain-Subdomain:**Expressions & Equations

**Cluster:**Level 2: Basic Application of Skills & Concepts

**Cluster:**Solve real-life and mathematical problems using numerical and algebraic expressions and equations. (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 - Archived

**Assessed:**Yes

**Assessment Limits :**

Items should not use variables. Items should require two or more steps**Calculator :**Yes

**Context :**Required

**Test Item #:**Sample Item 1**Question:**Rolando is 13. In five years, his age will be the age of his sister Marisa.

How old will Marisa be in three years?

**Difficulty:**N/A**Type:**EE: Equation Editor

**Test Item #:**Sample Item 2**Question:**A set of pencils sells for $1.75 and costs $0.40 to make. Twenty percent of the profit (the difference between the purchase price and the amount it costs to make) from each set of pencils goes to a school.If 500 sets are sold, what is the amount of money that will go to the school?

**Difficulty:**N/A**Type:**EE: Equation Editor

**Test Item #:**Sample Item 3**Question:**A bucket holds 243.5 ounces (oz) of water when full. The bucket loses 0.3 oz of water per second.In how many seconds will the bucket be 40% full?

**Difficulty:**N/A**Type:**EE: Equation Editor

**Test Item #:**Sample Item 4**Question:**A plane is flying at 31,348 feet. It needs to rise to 36,000 feet in two stages.In stage 1, it rises 5% of its initial altitude of 31,348 feet.

In stage 2, it rises at a rate of 140.3 feet per minute.

How many minutes does it take for the plane to rise during stage 2?

**Difficulty:**N/A**Type:**EE: Equation Editor

**Test Item #:**Sample Item 5**Question:**The dimensions of a rectangular pool are 24.5 feet by 13 feet. The depth of the water is 4 feet. Each cubic foot contains 7.48 gallons of water.

How many gallons of water, to the nearest tenth, are needed to fill the pool to 80% capacity?

**Difficulty:**N/A**Type:**EE: Equation Editor

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