NM-MSSA Grades 6, 7 Expressions & Equations. Practice it free.

Concepts & Procedures reporting category (grades 6-7). Expressions and Equations: algebraic expressions, one-variable equations and inequalities, dependent/independent variable relationships, generating equivalent expressions, and solving real-life problems with expressions and equations. NM-MSSA core-point share: grade 6 ~26-33%, grade 7 ~28-35%. This Grades 6, 7 reporting domain maps to 9 practice skills and 8 representative questions from the playable bank.

Grades 6, 7Expressions & Equations9 mapped skills
What the test measures

Expressions & 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

  4. Use properties of operations to generate equivalent expressions

  5. Solve real-life and mathematical problems using numerical and algebraic expressions and equations

Standards basis

New Mexico Common Core State Standards for Mathematics (NMCCSS / 'NM STEM Ready! Math'; CCSS-M adopted 2010) — New Mexico

How the NM-MSSA reports it

NM-MSSA is New Mexico's statewide summative assessment for Grades 3-8 (mathematics and ELA), administered by Cognia for the New Mexico Public Education Department. It is not built on a national framework (SBAC/NAEP); its items are aligned to the New Mexico Common Core State Standards (NMCCSS) — the CCSS-M that New Mexico adopted in 2010 and re-branded 'NM STEM Ready! Math'. The official math Test Blueprint and the public-facing Mathematics Test Specifications expose a per-grade reporting-category structure whose Concepts & Procedures categories ARE the CCSS-M content domains (Operations & Algebraic Thinking, Number & Operations in Base Ten, etc.), with published point/percentage ranges. This coverage_map was enriched from those two primary documents (the bare resources page transcribed earlier exposed only resource links, not the content structure). Reporting categories are grouped exactly as the blueprint groups them: Grades 3/4/5, Grades 6/7, and Grade 8 (grade 8 replaces Ratios & Proportional Relationships with Functions, matching CCSS). Two mathematical-practices reporting categories (Problem Solving / Reasoning & Argument; Modeling / Structure & Repeated Reasoning) are reported across all grades and are the CCSS Standards for Mathematical Practice (process standards), carried here as a separate per-band domain.

Blueprint & weighting

Published per-grade core-point distributions (NM-MSSA Operational Test Blueprint, Mathematics Test Specifications, Cognia/NMPED 2024). Concepts & Procedures content domains as a percent of the per-grade Concepts & Procedures subtotal — Grade 3: Operations & Algebraic Thinking 32-39%, Number & Operations in Base Ten 8-15%, Number & Operations—Fractions 12-19%, Measurement & Data 24-31%, Geometry 4-11%. Grade 4: 18-25% / 18-25% / 30-37% / 10-17% / 4-11%. Grade 5: 8-15% / 22-29% / 22-29% / 22-29% / 6-13%. Grade 6: Ratios & Proportional Relationships 15-22%, The Number System 22-27%, Expressions & Equations 26-33%, Geometry 9-16%, Statistics & Probability 9-16%. Grade 7: 15-22% / 13-20% / 28-35% / 9-16% / 15-22%. Grade 8: Functions 16-23%, The Number System 5-12%, Expressions & Equations 28-34%, Geometry 18-25%, Statistics & Probability 13-19%. Mathematical Practices are scored independently (Problem Solving/Reasoning & Argument and Modeling/Structure & Repeated Reasoning each >=15% of core points per grade); a small fixed number of practice points from constructed-response rubrics contribute to the overall score. Depth of Knowledge: grades 3-6 DOK1 5-25% / DOK2 50-80% / DOK3 5-30%; grades 7-8 DOK1 0-20% / DOK2 50-80% / DOK3 5-30%.

Practice by skill

Topics mapped to this domain

Fraction word problems — find total (ACT)

Grade 710 questions

Interpreting at least and at most

Grade 710 questions

Solving one- and two-step linear equations

Grade 7129 questions

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 playmedium

An arena concert used four seating sections. Exactly 16\dfrac{1}{6} of the seats were in section A, exactly 13\dfrac{1}{3} were in section B, 2222 seats were in section C, and 1818 seats were in section D. How many seats were in the arena for this concert?

Let xx be the total number of seats. Sections A and B account for 16x+13x=12x\dfrac{1}{6}x + \dfrac{1}{3}x = \dfrac{1}{2}x. Sections C and D total 22+18=4022 + 18 = 40 seats, so 12x=40\dfrac{1}{2}x = 40 and x=80x = 80.

Practice playeasy

In a school zone, a car must travel at a speed of at most 35.035.0 miles per hour. A car is traveling at 38.238.2 miles per hour. What is the minimum decrease needed in the car's speed, in miles per hour, so that it meets the speed limit?

The speed must be at most 35.035.0 miles per hour. The minimum decrease is 38.2−35.0=3.2.38.2 - 35.0 = 3.2\textsf{.}

Practice playeasy

What value of nn satisfies 5n−8=175n - 8 = 17?

Add 88 to both sides: 5n=255n = 25. Divide both sides by 55: n=5n = 5.

Practice playeasy

Which expression is equivalent to 2y+6+3y2y + 6 + 3y?

The terms 2y2y and 3y3y are like terms: 2y+3y=5y2y + 3y = 5y. The constant 66 stays the same, so the expression is equivalent to 5y+6.5y + 6\textsf{.}

Practice playeasy

Simplify: 1x+6+2x−81x + 6 + 2x - 8.

Combine xx-terms: 1x+2x=3x1x + 2x = 3x. Combine constants: 6−8=−26 - 8 = -2. Result: 3x−23x - 2.

Practice playeasy

What is 31?3^{1}\textsf{?}

Any base to the first power equals itself: 31=3.3^{1} = 3\textsf{.}

Practice playeasy

Write 7×7×7×77 \times 7 \times 7 \times 7 using an exponent.

The base 77 appears 44 times as a factor, so 7×7×7×7=747 \times 7 \times 7 \times 7 = 7^{4}.

Practice playeasy

Evaluate: 2+3⋅9−52 + 3 \cdot 9 - 5.

Multiply first: 3⋅9=273 \cdot 9 = 27. Then 2+27−5=242 + 27 - 5 = 24.

Keep practicing

Turn expressions & equations into game time.

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

Batting Cage game coverBatting CagePlay →Blaster Gate game coverBlaster GatePlay →Blitz Tanks game coverBlitz TanksPlay →Buzzer Beater game coverBuzzer BeaterPlay →
Related Common Core standards
7.EE.B.46.EE.A.1
Expressions & Equations in other NM-MSSA grades
Grade 8
Source and test overview
All NM-MSSA prepOfficial test source
Reporting categories

More Grades 6, 7 domains

Ratios & Proportional RelationshipsConcepts & Procedures reporting category (grades 6-7). Ratios and Proportional Relationships: ratio concepts and reasoning (grade 6) and analyzing proportional relationships to solve problems (grade 7). NM-MSSA core-point share: grade 6 ~15-22%, grade 7 ~15-22%.8 QsPractice →The Number SystemConcepts & Procedures reporting category (grades 6-7). The Number System: dividing fractions, multi-digit computation, common factors/multiples, and extending operations to the full system of rational numbers. NM-MSSA core-point share: grade 6 ~22-27%, grade 7 ~13-20%.8 QsPractice →GeometryConcepts & Procedures reporting category (grades 6-7). Geometry: area, surface area, and volume (grade 6); drawing/constructing geometric figures and solving angle, area, surface-area, and volume problems (grade 7). NM-MSSA core-point share: grade 6 ~9-16%, grade 7 ~9-16%.8 QsPractice →Statistics & ProbabilityConcepts & Procedures reporting category (grades 6-7). Statistics and Probability: statistical variability and distributions (grade 6); random sampling and inferences, comparative inferences, and probability models (grade 7). NM-MSSA core-point share: grade 6 ~9-16%, grade 7 ~15-22%.8 QsPractice →