MCAP Grade 6 Expressions and Equations. Practice it free.

Measures algebraic expressions, one-variable equations and inequalities, and dependent/independent variable relationships. This Grade 6 reporting domain maps to 6 practice skills and 8 representative questions from the playable bank.

Grade 6Content Subclaim6 mapped skills
What the test measures

Expressions and Equations skills

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

  2. 6.EE.B Reason about and solve one-variable equations and inequalities.

  3. 6.EE.C Represent and analyze quantitative relationships between dependent and independent variables.

Standards basis

Maryland College and Career Ready Standards for Mathematics (MCCRSM) — Maryland

How the MCAP reports it

MCAP is Maryland's statewide successor to PARCC, built on the Maryland College and Career Ready Standards for Mathematics (which mirror CCSS-M) — it is not a Smarter Balanced administration despite the claims-style family resemblance. Each grade/course High Level Blueprint (September 2022) organizes the assessment into three subclaims: Content (23-24 one-point machine-scored items, listed per domain/conceptual category as MCCRSM cluster headings), Reasoning (6 items), and Modeling (6 items), the latter two defined by per-grade evidence statements and including constructed-response items. Cluster headings are transcribed verbatim from the blueprints, including their minor typographical deviations from the parallel CCSS-M headings; two evident misprints are normalized (a duplicated sentence fragment on 4.OA.C, and the domain codes printed as G.P.E / T.TF for G.GPE / F.TF). Since March 2025, grade 6-7 students enrolled in a high-school mathematics course may take the corresponding MCAP course assessment instead of the grade-level test.

Blueprint & weighting

Each High Level Blueprint (September 2022) publishes per-domain operational item counts. Content Subclaim (1-point machine-scored items): Grade 3 — OA 7, NBT 2, NF 7, Measurement 5, Geometry 2 (23 items); Grade 4 — OA 4, NBT 5, NF 10, Measurement 3, Geometry 1 (23); Grade 5 — OA 2, NBT 6, NF 9, Measurement 4, Geometry 2 (23); Grade 6 — RP 3, NS 8, EE 8, Geometry 2, SP 2 (23); Grade 7 — RP 8, NS 4, EE 5, Geometry 3, SP 3 (23); Grade 8 — NS 2, EE 10, Functions 5, Geometry 4, SP 2 (23); Algebra I — Number and Quantity 1, Algebra 12, Functions 9, Statistics 2 (24); Geometry — G.CO 7, G.SRT 8, G.C 3, G.GPE 3, G.GMD 1, G.MG 1 (23); Algebra II — Number and Quantity 3, Algebra 8, Functions 11, Statistics 1 (23). Every assessment adds 6 Reasoning Subclaim and 6 Modeling Subclaim operational items — four 1-point machine-scored each, plus two constructed-response items (two 3-point in grades 3-4; one 3-point and one 4-point in grades 5-8; two 4-point in Algebra I, Geometry, and Algebra II) — so a form carries 35 operational items (36 for Algebra I).

Try it now

8 free questions · 0/0 correct

Practice playeasy

Which expression is equivalent to 10+t2410 + t^{2} - 4?

The constants 1010 and 4-4 are like terms: 104=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: 3x10+5x+2-3x - 10 + 5x + 2.

Combine: 3x+5x=2x-3x + 5x = 2x, 10+2=8-10 + 2 = -8. Result: 2x82x - 8.

Practice playeasy

What is 25?2^{5}\textsf{?}

25=22222=32.2^{5} = 2 \cdot 2 \cdot 2 \cdot 2 \cdot 2 = 32\textsf{.}

Practice playeasy

Write 2×2×2×2×22 \times 2 \times 2 \times 2 \times 2 using an exponent.

The base 22 appears 55 times as a factor, so 2×2×2×2×2=252 \times 2 \times 2 \times 2 \times 2 = 2^{5}.

Practice playeasy

Evaluate: 9+5449 + 5 \cdot 4 - 4.

Multiply first: 54=205 \cdot 4 = 20. Then 9+204=259 + 20 - 4 = 25.

Practice playeasy

What is 131^3?

13=111=1\,1^3 = 1 \cdot 1 \cdot 1 = 1.

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.

Keep practicing

Turn expressions and equations into game time.

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