NeSA Grade 7 Expressions and Equations Practice

What the test measures

Expressions and Equations skills

Use properties of operations to generate equivalent expressions
Solve multi-step real-life and mathematical problems using numerical and algebraic expressions and equations
Solve word problems leading to equations of the form px + q = r and p(x + q) = r
Solve and graph inequalities in one variable
Model and solve problems involving proportional relationships with equations

Standards basis

Nebraska College and Career Ready Standards for Mathematics (2019; Common Core–aligned domain structure) — Nebraska

How the NeSA reports it

Nebraska’s statewide math assessment is administered through NSCAS, but the official assessment page does not publish a test-specific math blueprint or reporting-category document on the page reviewed. In the absence of a public blueprint, the most defensible coverage map is the Nebraska College and Career Ready Standards for Mathematics, which are the state’s current standards basis and closely mirror Common Core-style grade-level domains.

Blueprint & weighting

No public test blueprint or per-domain item weighting was located on the Nebraska Department of Education assessment page reviewed. The page references NSCAS testing windows and general statewide assessment materials, but not math reporting-category percentages.

Official sources

Nebraska Department of Education – Statewide Assessment
Nebraska Department of Education – Press release noting current Nebraska College and Career Ready Standards approved in 2019

Practice by skill

Topics mapped to this domain

Try it now

8 free questions · 0/0 correct

Practice playeasy

A paint mixture uses red and blue paint in a ratio of $4$ to $7$ . How many ounces of blue paint are needed to mix with $32$ ounces of red paint?

Scale the ratio: $32$ oz red is $8$ groups of $4$ , so blue paint = $8 \times 7 = 56$ ounces.

Practice playeasy

Solve for $x$ : $\dfrac{9}{63} = \dfrac{6}{x}$ .

Cross-multiply: $9 x = 63 \cdot 6 = 378$ . So $x = 42$ .

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 playmedium

A recipe uses $3$ cups of flour to make $18$ muffins. At this rate, how many cups of flour are needed to make $30$ muffins?

Set up a proportion: $\dfrac{3}{18} = \dfrac{x}{30}$ , so $18x = 90$ and $x = 5$ cups.

Practice playeasy

Given $a:b = 5:2$ and $a = 75$ , find $b$ .

$\dfrac{a}{b} = \dfrac{5}{2}$ . With $a = 75$ , $\dfrac{75}{b} = \dfrac{5}{2}$ , so $5b = 150$ and $b = 30$ .

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?