AASA 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 posed with positive and negative rational numbers
Use variables to represent quantities in a real-world or mathematical problem
Solve problems using expressions and equations
Solve problems involving angle relationships, area, surface area, and volume

Standards basis

Arizona 2016 Mathematics Standards — Arizona

How the AASA reports it

AASA is Arizona’s statewide achievement test for Grades 3-8, and its math item specifications are aligned to Arizona’s 2016 Mathematics Standards rather than a national framework like SBAC or SAT. The public AASA page does not show a fixed common-core-style domain blueprint; instead, the official math coverage is embedded in grade-level item specifications and scoring guides.

Blueprint & weighting

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

Official sources

Arizona Department of Education AASA
Arizona Department of Education Mathematics Standards

Practice by skill

Topics mapped to this domain

Try it now

8 free questions · 0/0 correct

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 playhard

A rectangular prism has volume $72$ cubic centimeters and height $4$ centimeters. The length is twice the width. What is the width, in centimeters?

$V = \ell w h$ and $\ell = 2w$ , so $72 = (2w)(w)(4) = 8w^2$ . Then $w^2 = 9$ and $w = 3\text{ cm}\textsf{.}$

Practice playeasy

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

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

Practice playhard

A wedge-shaped door stopper is a closed right triangular prism. The triangular faces are right triangles with leg lengths $3$ inches and $4$ inches, and the stopper is $10$ inches wide. What is the total exterior surface area, in square inches, of the stopper?

The two triangular faces have total area $2 \times \dfrac{1}{2}(3)(4) = 12$ . The three rectangular faces have areas $3(10) = 30$ , $4(10) = 40$ , and $5(10) = 50$ , where $5$ is the hypotenuse. The total is $12 + 30 + 40 + 50 = 132$ square inches.

Practice playeasy

Find the volume of a cylinder with radius $2$ and height $4$ . Use $\pi = 3$ .

$V = \pi r^2 h = 3 \times 4 \times 4 = 48$ .

Practice playeasy

A rectangular prism has length $2$ , width $5$ , and height $6$ . What is its volume?

$V = 2 \times 5 \times 6 = 60$ .

Practice playeasy

Two angles are supplementary. One measures $45°$ . What is the other?

$180 - 45 = 135°$ .

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?