MCAS Grade 10 Expressions and Equations. Practice it free.

Measures algebraic expressions, equations, and their solution methods. This Grade 10 reporting domain maps to 36 practice skills and 8 representative questions from the playable bank.

Grade 1036 mapped skills

What the test measures

Expressions and Equations skills

Interpret and create expressions
Use properties of operations to generate equivalent expressions
Solve linear equations and inequalities in one variable
Represent and solve equations and inequalities graphically

Standards basis

Massachusetts Curriculum Frameworks / Massachusetts learning standards (CCSS-aligned math standards as adopted by Massachusetts) — Massachusetts

How the MCAS reports it

MCAS is Massachusetts’ statewide assessment program, and its math design is built on Massachusetts Curriculum Frameworks rather than a separate multi-state framework. The official MCAS pages state that MCAS assessments are based on the state’s learning standards and that the math tests are organized by Massachusetts grade-band domains/reporting categories.

Blueprint & weighting

The official MCAS math blueprint/test-design materials were not successfully retrievable in this session, so published domain weightings could not be verified from a primary PDF/page.

Official sources

Massachusetts DESE MCAS overview
Massachusetts DESE MCAS released item documents
Massachusetts DESE release of spring 2025 test items

Practice by skill

Topics mapped to this domain

Try it now

8 free questions · 0/0 correct

Practice playeasy

$|x + 16| = 27$

Which of the following gives both solutions to the given equation?

The equation means $x + 16 = 27$ or $x + 16 = -27$ . So $x = 11$ or $x = -43$ . Both solutions are $-43$ and $11\textsf{.}$

Practice playmedium

If $|x - 2| = 11$ , what is the positive value of $2x$ ?

Either $x - 2 = 11$ , giving $x = 13$ and $2x = 26$ , or $x - 2 = -11$ , giving $x = -9$ and $2x = -18$ . The positive value of $2x$ is $26\textsf{.}$

Practice playmedium

Which is the completely factored form of $12x^{2} + 8x$ ?

The greatest common factor of $12x^{2}$ and $8x$ is $4x\textsf{.}$ Factoring gives $4x(3x + 2)$ .

Practice playmedium

A science lab classifies a liquid as neutral when its pH level $p$ is more than $6$ but at most $8$ . Which inequality represents the possible values of $p$ ?

More than $6$ means $p > 6$ . At most $8$ means $p \le 8$ , so $6 < p \le 8$ .

Practice playeasy

Which expression is equivalent to $49 - x^{2}$ ?

$49 - x^{2} = 7^{2} - x^{2} = (7 - x)(7 + x)$ .

Practice playeasy

How many distinct real roots does $x^{2} - 10x + 25 = 0$ have?

Here $a = 1$ , $b = -10$ , and $c = 25$ . Substituting into $b^{2} - 4ac$ gives $(-10)^{2} - 4(1)(25) = 0\textsf{,}$ so there is exactly $1$ distinct real root.