TCAP Grade 6 Expressions and Equations. Practice it free.

Apply and extend previous understandings of arithmetic to algebraic expressions and equations. This Grade 6 reporting domain maps to 6 practice skills and 8 representative questions from the playable bank.

Grade 66 mapped skills
What the test measures

Expressions and Equations skills

  1. 6.EE.A.1 Write and evaluate numerical expressions involving whole-number exponents

  2. 6.EE.A.2 Write, read, and evaluate expressions in which letters stand for numbers

  3. 6.EE.A.3 Apply the properties of operations to generate equivalent expressions

  4. 6.EE.A.4 Identify when two expressions are equivalent

  5. 6.EE.B.5 Understand solving an equation or inequality as a process of answering a question

  6. 6.EE.B.6 Use variables to represent numbers and write expressions when solving real-world or mathematical problems

  7. 6.EE.B.7 Solve real-world and mathematical problems by writing and solving equations of the form x + p = q and px = q

  8. 6.EE.B.8 Write an inequality of the form x > c or x < c to represent constraints

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)

Try it now

8 free questions · 0/0 correct

Practice playeasy

Which expression is equivalent to 157+r215 - 7 + r^{2}?

The constants 1515 and 7-7 are like terms: 157=815 - 7 = 8. The term r2r^{2} stays the same, so the expression is equivalent to r2+8.r^{2} + 8\textsf{.}

Practice playeasy

Simplify: 5(9x5)5(9x - 5).

Distribute 5: 59x+55=45x255 \cdot 9x + 5 \cdot -5 = 45x - 25.

Practice playeasy

What is 34?3^{4}\textsf{?}

34=3333=81.3^{4} = 3 \cdot 3 \cdot 3 \cdot 3 = 81\textsf{.}

Practice playeasy

Write 6×6×66 \times 6 \times 6 using an exponent.

The base 66 appears 33 times as a factor, so 6×6×6=636 \times 6 \times 6 = 6^{3}.

Practice playeasy

Evaluate: 4+7934 + 7 \cdot 9 - 3.

Multiply first: 79=637 \cdot 9 = 63. Then 4+633=644 + 63 - 3 = 64.

Practice playeasy

What is 323^2?

32=33=9\,3^2 = 3 \cdot 3 = 9.

Practice playeasy

Which expression is equivalent to 8+3z+28 + 3z + 2?

The constants 88 and 22 are like terms: 8+2=108 + 2 = 10. The term 3z3z stays the same, so the expression is equivalent to 3z+10.3z + 10\textsf{.}

Practice playeasy

Simplify: 1x+6+2x81x + 6 + 2x - 8.

Combine xx-terms: 1x+2x=3x1x + 2x = 3x. Combine constants: 68=26 - 8 = -2. Result: 3x23x - 2.

Keep practicing

Turn expressions and equations into game time.

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