AASA Grade 8 Expressions and Equations. Practice it free.

Work with radicals and integer exponents, understand the connections between proportional relationships, lines, and linear equations, and analyze and solve linear equations and pairs of simultaneous linear equations. This Grade 8 reporting domain maps to 10 practice skills and 8 representative questions from the playable bank.

Grade 810 mapped skills

What the test measures

Expressions and Equations skills

Work with radicals and integer exponents
Understand the connections between proportional relationships, lines, and linear equations
Analyze and solve linear equations and pairs of simultaneous linear equations

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

What is $\sqrt{64}$ ?

$8 \times 8 = 64$ , so $\sqrt{64} = 8$ .

Practice playeasy

Rewrite $a^{-2}$ with a positive exponent.

The Negative Exponent Property says that a nonzero base raised to a negative exponent equals the reciprocal of that base raised to the positive exponent, written $a^{-n} = \dfrac{1}{a^{n}}\textsf{.}$ Applying the property, $a^{-2} = \dfrac{1}{a^{2}}\textsf{.}$

Practice playhard

Let $f(t) = e^{3t}$ . Which of the following approximations, written as $a \times 10^n$ with one significant digit, is closest to the value of $f(5)$ ?

Substitute $t = 5$ : $f(5) = e^{15}$ . Since $e^{15} \approx 3{,}269{,}017$ , $f(5) \approx 3 \times 10^{6}$ .

Practice playeasy

Which of the following systems of linear equations has no solution?

Both equations have slope $2$ but different $y$ -intercepts ( $3$ and $-1$ ), so the lines are parallel and the system has no solution.

Practice playeasy

$\begin{cases} x + y = 5 \\ 3x - y = 3 \end{cases}$

How many solutions does the given system of equations have?

Rewrite in slope-intercept form: $y = -x + 5$ and $y = 3x - 3$ . The slopes $-1$ and $3$ are different, so the lines intersect at exactly one point.

Practice playmedium

Solve $\dfrac{1}{3}(6x - 9) + 2x = 11$ for $x$ .

Distribute $\dfrac{1}{3}$ : $2x - 3 + 2x = 11$ . Combine like terms: $4x - 3 = 11$ . Add $3$ to both sides: $4x = 14$ . Divide by $4$ : $x = \dfrac{7}{2}\textsf{.}$

Practice playeasy

Write $4500$ as $a \times 10^n$ where $1 \le a < 10$ . What is $n$ ?

$4500 = 4.5 \times 10^3$ , so $n = 3$ .

Practice playmedium

$(1.5 \times 10^{4})(8 \times 10^{3})$ equals

Multiply coefficients and add exponents: $1.5 \cdot 8 = 12$ and $4+3=7$ , giving $12 \times 10^{7}$ . Rewrite as $1.2 \times 10^{1} \times 10^{7}=1.2 \times 10^{8}\textsf{.}$