VTCAP Grade 6 Expressions and Equations. Practice it free.

Grade 6 Expressions and Equations standards; reported jointly with the number system as 'The Number System, Expressions and Equations' performance indicator. Blueprint target: 8-12 points (15-22% of the grade 6 test). This Grade 6 reporting domain maps to 6 practice skills and 8 representative questions from the playable bank.

Grade 66.EE6 mapped skills
What the test measures

Expressions and Equations skills

  1. Apply and extend previous understandings of arithmetic to algebraic expressions

  2. Reason about and solve one-variable equations and inequalities

  3. Represent and analyze quantitative relationships between dependent and independent variables

Standards basis

Common Core State Standards for Mathematics (CCSS-M) — Vermont

How the VTCAP reports it

Vermont administered the Smarter Balanced summative through spring 2022, then replaced it with the Cognia-developed Vermont Comprehensive Assessment Program (VTCAP) beginning spring 2023 — this landing slug predates the switch. VTCAP mathematics is an adaptive, CCSS-M-aligned assessment in grades 3-9. It is NOT a Smarter Balanced administration: its reporting categories are groupings of the CCSS grade-level domains (e.g. 'The Number System, Expressions and Equations'), not SBAC claims, though two cross-grade Mathematical Practices indicators ('Problem Solving, Reasoning, and Argument'; 'Modeling, Patterns, and Structure') echo the old claim structure. Per the test specifications, the grades 3-8 test may assess any CCSS-M standard at the grade; the grade 9 test assesses a prioritized subset of the high school CCSS-M within the conceptual categories of Number and Quantity, Algebra, Functions, Geometry, and Statistics and Probability (the assessed focus areas are published in the grade 9 Performance Level Descriptors).

Blueprint & weighting

VTCAP Test Specifications (Spring 2026) operational test blueprint, target percent of points per grade — Grade 3: OA 24-35%, NBT 10-14%, NF 16-20%, MD 22-29%, G 6-10%, constructed-response Mathematical Practices 12%. Grade 4: OA 20-31%, NBT 16-20%, NF 20-31%, MD 12-20%, G 6-10%, practices 12%. Grade 5: OA 14-22%, NBT 14-25%, NF 22-29%, MD 20-27%, G 8-16%, practices 12%. Grade 6: RP 15-22%, NS 15-22%, EE 15-22%, G 11-19%, SP 11-19%, practices 11%. Grade 7: RP 15-22%, NS 11%, EE 15-30%, G 11-19%, SP 19-22%, practices 11%. Grade 8: F 18-29%, NS 7%, EE 20-31%, G 18-29%, SP 18-22%, practices 11%. Grade 9 (all machine-scored): Number and Quantity/Algebra 18-27%, Algebra/Functions 31-40%, Geometry 20-29%, Statistics and Probability 13-20%; the two practices indicators are dual-aligned targets of >18% of points each. Identical figures appear in the Spring 2025 specifications.

Practice by skill

Topics mapped to this domain

Combining like terms

Grade 610 questions

Combining like terms and distributing

Grade 668 questions

Evaluating powers

Grade 636 questions

Write products as powers

Grade 624 questions

Order of operations

Grade 6119 questions

Perfect squares and cubes

Grade 660 questions
Try it now

8 free questions · 0/0 correct

Practice playeasy

Which expression is equivalent to 4x+9+x4x + 9 + x?

The terms 4x4x and xx are like terms: 4x+x=5x4x + x = 5x. The constant 99 stays the same, so the expression is equivalent to 5x+9.5x + 9\textsf{.}

Practice playeasy

Simplify: 2x−7−4x+32x - 7 - 4x + 3.

Combine: 2x+−4x=−2x2x + -4x = -2x, −7+3=−4-7 + 3 = -4. Result: −2x−4-2x - 4.

Practice playeasy

What is 24?2^{4}\textsf{?}

24=2⋅2⋅2⋅2=16.2^{4} = 2 \cdot 2 \cdot 2 \cdot 2 = 16\textsf{.}

Practice playeasy

Write 4×4×44 \times 4 \times 4 using an exponent.

The base 44 appears 33 times as a factor, so 4×4×4=434 \times 4 \times 4 = 4^{3}.

Practice playeasy

Evaluate: 6+4⋅5−56 + 4 \cdot 5 - 5.

Multiply first: 4⋅5=204 \cdot 5 = 20. Then 6+20−5=216 + 20 - 5 = 21.

Practice playeasy

Compute 222^2.

 22=2⋅2=4\,2^2 = 2 \cdot 2 = 4.

Practice playeasy

Which expression is equivalent to 10+t2−410 + t^{2} - 4?

The constants 1010 and −4-4 are like terms: 10−4=610 - 4 = 6. The term t2t^{2} stays the same, so the expression is equivalent to t2+6.t^{2} + 6\textsf{.}

Practice playeasy

Simplify: 4(7x+2)4(7x + 2).

Distribute 4: 4⋅7x+4⋅2=28x+84 \cdot 7x + 4 \cdot 2 = 28x + 8.

Keep practicing

Turn expressions and equations into game time.

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

Blaster Gate game coverBlaster GatePlay →Blitz Tanks game coverBlitz TanksPlay →Blossom Leap game coverBlossom LeapPlay →Bullseye Blitz game coverBullseye BlitzPlay →
Related Common Core standards
6.EE.A.1
Expressions and Equations in other VTCAP grades
Grade 7Grade 8
The same skills on other tests
i-ReadyAASAACAPATLAS
Source and test overview
All VTCAP prepOfficial test source
Reporting categories

More Grade 6 domains

Ratios and Proportional RelationshipsGrade 6 Ratios and Proportional Relationships standards; reported as the 'Ratios and Proportional Relationships' performance indicator. Blueprint target: 8-12 points (15-22% of the grade 6 test).8 QsPractice →The Number SystemGrade 6 Number System standards; reported jointly with expressions and equations as 'The Number System, Expressions and Equations' performance indicator. Blueprint target: 8-12 points (15-22% of the grade 6 test).8 QsPractice →GeometryGrade 6 Geometry standards; reported jointly with statistics as the 'Geometry and Statistics and Probability' performance indicator. Blueprint target: 6-10 points (11-19% of the grade 6 test).8 QsPractice →Statistics and ProbabilityGrade 6 Statistics and Probability standards; reported jointly with geometry as the 'Geometry and Statistics and Probability' performance indicator. Blueprint target: 6-10 points (11-19% of the grade 6 test).8 QsPractice →