WVGSA Grade 7 Expressions and Equations Practice

What the test measures

Expressions and Equations skills

Use properties of operations to add, subtract, factor, and expand linear expressions.
Interpret equivalent expressions in context.
Solve multi-step real-world problems with rational numbers.
Solve linear equations and inequalities in one variable.
Graph inequality solution sets and interpret them.

Standards basis

West Virginia College- and Career-Readiness Standards for Mathematics (WVBE Policy 2520.2B) — West Virginia

How the WVGSA reports it

West Virginia’s General Summative Assessment is a state assessment aligned to the West Virginia College- and Career-Readiness Standards rather than a separate national assessment framework. The math blueprint follows CCSS-style grade-band domains and clusters, but the standards are the state’s own West Virginia College- and Career-Readiness Standards.

Blueprint & weighting

WVGSA uses the Independent / state-specific framework (by grade domains structure).

Official sources

West Virginia Department of Education: General Summative Assessment
West Virginia Department of Education: Grade 3 Mathematics Standards
West Virginia Department of Education: Grade 4 Mathematics Standards

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

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?

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

Practice playeasy

What value of $n$ satisfies $5n - 8 = 17$ ?

Add $8$ to both sides: $5n = 25$ . Divide both sides by $5$ : $n = 5$ .

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?