KSA Grade 10 Algebra. Practice it free.

See structure in expressions and solve equations; create equations that describe numbers or relationships; and reason with equations and inequalities. This Grade 10 reporting domain maps to 43 practice skills and 8 representative questions from the playable bank.

Grade 10A43 mapped skills

What the test measures

Algebra skills

Interpret the structure of expressions
Write expressions in equivalent forms to solve problems
Perform arithmetic operations on polynomials
Understand the relationship between zeros and factors of polynomials
Create equations that describe numbers or relationships
Understand solving equations as a process of reasoning and explaining
Solve equations and inequalities in one variable
Solve systems of equations
Represent and solve equations and inequalities graphically

Standards basis

Kentucky Academic Standards (KAS) for Mathematics — Kentucky

How the KSA reports it

Kentucky KSA is a state summative assessment built on Kentucky Academic Standards (KAS) rather than a separate national framework. For mathematics, the assessed content closely follows Common Core–style grade-band domains in grades 3-8 and uses Kentucky high-school conceptual categories in grade 10.

Blueprint & weighting

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

Official sources

Kentucky Department of Education — Kentucky Summative Assessment
Kentucky Department of Education — Mathematics
Kentucky Department of Education — Kentucky Laws and Regulations

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.