FAST Algebra 1 EOC Number Sense and Operations Practice

Number Sense and Operations skills

MA.912.NSO.1.1, MA.912.NSO.1.2

MA.912.AR.1.1, MA.912.AR.1.2, MA.912.AR.2.1, MA.912.AR.2.2, MA.912.AR.2.3, MA.912.AR.2.4

Standards basis

Florida B.E.S.T. Standards — Florida

How the FAST reports it

Florida’s FAST Mathematics is a state-specific assessment program aligned to the Florida B.E.S.T. Standards rather than a national framework. The published blueprint organizes results by reporting categories derived from B.E.S.T. domains, with separate blueprints for grades 3-8 FAST Mathematics and the B.E.S.T. Algebra 1 and Geometry EOCs.

Blueprint & weighting

Florida publishes blueprint percentage ranges by reporting category. The 2025-26 fact sheet states each PM event is tied to a blueprint for the full grade-level content, and the test design summary gives approximate item ranges per reporting category; the reporting-category statements note that a minimum of 15% of raw score points should come from each reporting category, with some domains combined when needed.

Official sources

Florida Department of Education FAST Assessments page
Florida Department of Education B.E.S.T. Mathematics Reporting Category Statements
Florida Department of Education B.E.S.T. Mathematics Test Design Summary

8 free questions · 0/0 correct

Practice playmedium

Which expression is equivalent to $3\sqrt{20}+\sqrt{45}$ ?

$3\sqrt{20}=3\sqrt{4 \cdot 5}=3 \cdot 2\sqrt{5}=6\sqrt{5}$ and $\sqrt{45}=\sqrt{9 \cdot 5}=3\sqrt{5}$ . Adding like radical terms gives $6\sqrt{5}+3\sqrt{5}=9\sqrt{5}$ .

Practice playhard

If $\Large x$ and $\Large y$ are positive, which expression is equivalent to $\Large \sqrt[5]{x^8 y^{12}}$ ?

Divide each exponent by $\Large 5$ : $\Large x^{\tfrac{8}{5}} y^{\tfrac{12}{5}}$ .

Practice playmedium

The diagonal length, in inches, of a certain square television screen can be estimated by multiplying the screen's area, in square inches, by $2$ and then taking the square root of the product. According to this method, what is the estimated diagonal length, in inches, of a screen with an area of $216$ square inches?

The product is $216 \cdot 2 = 432$ . Factor $432 = 144 \cdot 3$ , where $144$ is the largest perfect-square factor. So $\sqrt{432} = \sqrt{144 \cdot 3} = 12\sqrt{3}$ , and $3$ is square-free.

Practice playeasy

Which expression is equivalent to $\sqrt{288}$ ?

$288 = 144 \cdot 2$ , so $\sqrt{288} = \sqrt{144 \cdot 2} = 12\sqrt{2}$ .

Practice playeasy

$|x - 14| = 20$

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

The equation means $x - 14 = 20$ or $x - 14 = -20$ . So $x = 34$ or $x = -6$ . Both solutions are $-6$ and $34\textsf{.}$

Practice playmedium

If $|4x + 16| = 52$ , what is the negative value of $x + 4$ ?

Rewrite $|4x + 16| = |4(x + 4)| = |4|\,|x + 4| = 4|x + 4|$ . Since $4|x + 4| = 52$ , divide by $4$ to get $|x + 4| = 13$ . The expression $x + 4$ equals $13$ or $-13$ ; the negative value is $-13\textsf{.}$

Practice playeasy

If $3x - 15 = 0$ , what is the value of $x + 4$ ?

Add $15$ to both sides: $3x = 15$ , so $x = 5$ . Then $x + 4 = 5 + 4 = 9\textsf{.}$

Practice playeasy

A line with slope $3$ passes through $(1, 5)$ . What is $b$ in $y = 3x + b$ ?

Substitute the point: $5 = 3(1) + b$ , so $b = 5 - 3 = 2$ .

FAST Algebra 1 EOC Number Sense and Operations. Practice it free.

Number Sense and Operations skills

MA.912.NSO.1.1, MA.912.NSO.1.2

MA.912.AR.1.1, MA.912.AR.1.2, MA.912.AR.2.1, MA.912.AR.2.2, MA.912.AR.2.3, MA.912.AR.2.4

Topics mapped to this domain

Combining like square roots (ACT)

Radical to exponent conversions

Radical word problems (ACT)

Simplifying square roots (ACT)

Absolute value equation solutions

Absolute value equations (ACT/SAT)

Linear equation expressions (SAT/PSAT 8/9/10)

Linear equation forms

Linear equation from two points (SAT)

Linear inequalities

Linear raise total earnings

Solving two-variable linear equations given one value

8 free questions · 0/0 correct

Turn number sense and operations into game time.

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