Maine MTA High School (grade 10) Algebra Practice

Algebra skills

Seeing Structure in Expressions

Arithmetic with Polynomials and Rational Expressions

Creating Equations

Reasoning with Equations and Inequalities

Standards basis

Common Core State Standards (CCSS-M) — Maine

How the Maine MTA reports it

Maine Through-Year Assessment is Maine’s state assessment program delivered with NWEA MAP Growth item pools and through-year administration. The public sources identify it as a Maine DOE assessment aligned to Common Core State Standards in math, but Maine uses its own through-year blueprint rather than a separate national framework.

Blueprint & weighting

No official per-domain item weighting was located in the Maine DOE public assessment posts or the cited pages. The public Maine DOE materials emphasize a through-year model with fall-to-spring growth measurement rather than a published domain-by-domain blueprint.

Official sources

Maine DOE Newsroom – Assessment category
Maine DOE Newsroom – Media Releases

8 free questions · 0/0 correct

Practice playeasy

$|x - 6| = 18$

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

The equation means $x - 6 = 18$ or $x - 6 = -18$ . So $x = 24$ or $x = -12$ . Both solutions are $-12$ and $24\textsf{.}$

Practice playeasy

If $|x - 7| = 15$ , what is the positive value of $x$ ?

Either $x - 7 = 15$ , giving $x = 22$ , or $x - 7 = -15$ , giving $x = -8$ . The positive value of $x$ is $22\textsf{.}$

Practice playeasy

What is $2!$ ?

$2! = 2 \times 1 = 2$ .

Practice playmedium

Which is the completely factored form of $14x^{2} + 21x$ ?

The greatest common factor of $14x^{2}$ and $21x$ is $7x\textsf{.}$ Factoring gives $7x(2x + 3)$ .

Practice playeasy

On a certain road, traffic cameras record speeds $s$ , in miles per hour, that are at least $25$ mph and no more than $55$ mph. Which inequality represents the possible values of $s$ ?

At least $25$ and no more than $55$ include both endpoints, so $25 \le s \le 55$ .

Practice playmedium

A band can spend at most $\text{\char36}60$ on shirts that cost $\text{\char36}12$ each and hats that cost $\text{\char36}8$ each. The band wants at least $3$ hats. Let $s$ be the number of shirts and $h$ the number of hats. Which system represents these constraints?

At most $\text{\char36}60$ gives $12s + 8h \le 60\textsf{.}$ At least $3$ hats gives $h \ge 3\textsf{.}$

Practice playeasy

Which expression is equivalent to $x^{2} - 64$ ?

$x^{2} - 64 = x^{2} - 8^{2} = (x - 8)(x + 8)$ .

Practice playeasy

How many distinct real roots does $x^{2} + 1 = 0$ have?

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

Maine MTA High School (grade 10) Algebra. Practice it free.

Algebra skills

Seeing Structure in Expressions

Arithmetic with Polynomials and Rational Expressions

Creating Equations

Reasoning with Equations and Inequalities

Topics mapped to this domain

Absolute value equation solutions

Absolute value equations (ACT/SAT)

Binomial theorem and factorials

Common factor factoring (SAT)

Compound inequality situations

Constraints and viable solutions (SAT)

Difference of squares factoring

Discriminant analysis

The discriminant and quadratic formula

Equivalent rational expressions (SAT)

Factoring quadratic expressions (ACT)

Factorable polynomial zeros (ACT)

8 free questions · 0/0 correct

Turn algebra into game time.

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