MAST Grade 7 Solving Inequalities Practice

What the test measures

Solving Inequalities skills

Solve word problems that can be represented by inequalities of the form px+q>r or px+q<r.
Interpret the solution set of an inequality in the context of the problem.
Standards: 7.EE.4, 7.EE.4.b

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

A shipping company accepts a package only if its mass is at least $2.50$ kilograms. A package has a mass of $2.15$ kilograms. What is the minimum increase needed in the package's mass, in kilograms, so that it can be accepted?

The mass must be at least $2.50$ kilograms. The minimum increase is $2.50 - 2.15 = 0.35\textsf{.}$

Practice playeasy

Solve for $x$ : $6x - 1 = 17$ .

Subtract $-1$ from both sides: $6x = 18$ . Divide by $6$ : $x = 3$ .

Practice playeasy

A diving board may be used only when the pool depth is at least $10.0$ feet. The water is currently $8.4$ feet deep. What is the minimum increase needed in the water depth, in feet, so that the diving board may be used?

The depth must be at least $10.0$ feet. The minimum increase is $10.0 - 8.4 = 1.6\textsf{.}$

Practice playeasy

Solve for $x$ : $x + 5 = -3$ .

Subtract 5 from both sides: $x = -8$ .

Practice playeasy

A phone battery must be charged to at least $80.0\%$ before a software update can begin. The battery is currently at $76.4\%$ . What is the minimum increase needed in the battery charge, in percentage points, so that the update can begin?

The charge must reach at least $80.0\%$ . The minimum increase is $80.0 - 76.4 = 3.6\textsf{.}$

Practice playeasy

Solve for $x$ : $x - 1 = -8$ .

Isolate $x$ : $x = -7$ .

Practice playeasy

A ride at a fair requires a height of at least $48.0$ inches. A child is $45.5$ inches tall. What is the minimum increase needed in the child's height, in inches, so that the child meets the requirement?