TCAP Grade 7 The Number System. Practice it free.

Apply and extend previous understandings of operations with fractions to add, subtract, multiply, and divide rational numbers. This Grade 7 reporting domain maps to 1 practice skill and 8 representative questions from the playable bank.

Grade 71 mapped skills
What the test measures

The Number System skills

  1. 7.NS.A.1 Apply and extend previous understandings of addition and subtraction to add and subtract rational numbers

  2. 7.NS.A.2 Apply and extend previous understandings of multiplication and division and of fractions to multiply and divide rational numbers

  3. 7.NS.A.3 Solve real-world and mathematical problems involving the four operations with rational numbers

Standards basis

Tennessee Academic Standards for Mathematics — Tennessee

How the TCAP reports it

TCAP math is Tennessee’s state assessment program and its blueprints are aligned to Tennessee Academic Standards, which closely mirror the Common Core content structure in grades 3-8 and the CCSS-style high school conceptual categories. The blueprint page lists the current 2025-26 assessment overviews, including Math Grade 2, Grades 3-5, Grades 6-8, and Math EOC. [Tennessee Department of Education](https://www.tn.gov/education/districts/lea-operations/assessment/tcap-blueprints.html)

Blueprint & weighting

Published TCAP math blueprints assign content emphasis by grade/course, but the exact percentage table was not recoverable from the accessible blueprint page in this session. The state blueprint landing page confirms the math overviews but did not expose the PDF links in the fetched page content. [Tennessee Department of Education](https://www.tn.gov/education/districts/lea-operations/assessment/tcap-blueprints.html)

Practice by skill

Topics mapped to this domain

Integer operations

Grade 7121 questions
Try it now

8 free questions · 0/0 correct

Practice playeasy

What is (−16)÷(−4)(-16) \div (-4)?

Result: 44.

Practice playeasy

What is (−10)×6(-10) \times 6?

Result: −60-60.

Practice playeasy

Evaluate: −12+(−6)-12 + (-6).

Add: −12+(−6)=−18-12 + (-6) = -18.

Practice playeasy

What is −2−(−4)-2 - (-4)?

Result: 22.

Practice playeasy

What is −5+8-5 + 8?

Result: 33.

Practice playeasy

What is (−9)÷3(-9) \div 3?

Result: −3-3.

Practice playeasy

What is 7×(−2)7 \times (-2)?

Result: −14-14.

Practice playeasy

What is 1+(−7)1 + (-7)?

Result: −6-6.

Keep practicing

Turn the number system into game time.

The TCAP placement starts with this test's real coverage map and finds the right difficulty.

Sprout RowPlay →
Related Common Core standards
7.NS.A.1
The Number System in other TCAP grades
Grade 6Grade 8
The same skills on other tests
i-ReadyAASAACAPATLAS
Source and test overview
All TCAP prepOfficial test source
Reporting categories

More Grade 7 domains

Ratios and Proportional RelationshipsAnalyze proportional relationships and use them to solve real-world and mathematical problems.8 QsPractice →Expressions and EquationsUse properties of operations to generate equivalent expressions and solve real-life and mathematical problems using numerical and algebraic expressions and equations.8 QsPractice →GeometryDraw, construct, and describe geometrical figures and solve problems involving angle measure, area, surface area, and volume.8 QsPractice →Statistics and ProbabilityUse random sampling to draw inferences about a population, draw informal comparative inferences about two populations, and investigate chance processes and develop, use, and evaluate probability models.8 QsPractice →