MAST Grade 7 Solving Equations Practice

What the test measures

Solving Equations skills

Solve word problems that can be represented by equations of the form px+q=r and p(x+q)=r.
Solve equations of the form px+q=r and p(x+q)=r fluently.
Standards: 7.EE.4, 7.EE.4.a

Standards basis

Montana PK-12 Mathematics Content Standards / Common Core State Standards for Mathematics (CCSS-M)-aligned Montana standards — Montana

How the MAST reports it

Montana’s MAST is a state-specific through-year assessment built by New Meridian and aligned to Montana’s academic content standards, not a Smarter Balanced-style claims/targets framework. The math blueprints organize content into grade-level strands/testlets that map directly to CCSS-M-derived Montana standards.

Blueprint & weighting

The blueprint publishes a through-year design of 12 strands/testlets per grade, with 1 strand per testlet, 2 reporting attributes per strand, and 9–13 items per testlet. It also specifies approximate item-type and DOK distributions, but does not publish percentage weighting by domain in the captured blueprint text.

Official sources

Montana OPI MontCAS
Montana OPI - MasteryGuide Mathematics Assessment Specifications and Blueprints
Montana OPI - Montana MAST Math Testlets

Practice by skill

Topics mapped to this domain

Interpreting at least and at most

Grade 710 questions

Solving one- and two-step linear equations

Grade 7129 questions

Try it now

8 free questions · 0/0 correct

Practice playeasy

Airline rules allow a carry-on bag to weigh at most $50.0$ pounds. A bag weighs $52.8$ pounds. What is the minimum decrease needed in the bag's weight, in pounds, so that it meets the rule?

The bag must weigh at most $50.0$ pounds. The minimum decrease is $52.8 - 50.0 = 2.8\textsf{.}$

Practice playeasy

Solve for $m$ : $m - 4 = 2$ .

Subtract 4 from both sides: $m = 6$ .

Practice playeasy

A band competition allows an instrument case's length, width, and height to total at most $62.0$ inches. A case measures $65.4$ inches in total. What is the minimum decrease needed in that total, in inches, so that the case meets the rule?

The total must be at most $62.0$ inches. The minimum decrease is $65.4 - 62.0 = 3.4\textsf{.}$

Practice playeasy

Solve for $k$ : $k + 3 = 5$ .

Isolate $k$ : $k = 2$ .

Practice playeasy

A library reading room must keep noise at a level of at most $65.0$ decibels. A meter shows $68.5$ decibels. What is the minimum decrease needed in the noise level, in decibels, so that the room meets the rule?

The noise level must be at most $65.0$ decibels. The minimum decrease is $68.5 - 65.0 = 3.5\textsf{.}$

Practice playeasy

Solve for $k$ : $9k = -27$ .

Isolate $k$ : $k = -3$ .

Practice playeasy

In a school zone, a car must travel at a speed of at most $35.0$ miles per hour. A car is traveling at $38.2$ 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?