MA.912.AR.1.2 · Expressions, Functions, and Data Analysis

Rearranging Formulas to Isolate a Quantity: Sample Algebra 1 EOC Questions

Solving a formula for a different variable is the same algebra as solving an equation, except the answer is an expression instead of a number. Students isolate a quantity of interest in perimeter, area, volume, temperature, and linear or quadratic formulas.

How the Algebra 1 EOC tests this benchmark

The formula universe on the EOC is temperature conversion, perimeter, area, volume, and the standard linear and quadratic forms. Equation editor items ask for the rearranged formula and accept any equivalent form, so a correct answer written a different way still scores. Multiple choice distractors reverse one operation or move a term without changing its sign.

Skills students need

Solve a formula for a named variable
Undo operations in the correct order with variables in place
Rearrange a linear equation between standard and slope-intercept form
Use a rearranged formula to answer a question

Try 6 real MA.912.AR.1.2 questions

These come straight from Algebro's Algebra 1 question bank, easiest first. Answer one, check it, then move to the next.

Question 1 of 6

Answer it and Algebro checks it instantly

Question 1EasyMultiple Select

The area of a triangle is

A = \dfrac{1}{2}bh

, where

b

is the base and

h

is the height. Select ALL equations that correctly rearrange this formula.

Select every answer that applies, then check.

Showcase extra: the real practice and quiz players do not have this button.

Question 6HardMatching

Match each formula with the correct solved form.

Pick one match in each row, then check.

	A. $I^2 = \dfrac{P}{R}$	B. $Q = It$	C. $a = \dfrac{v - v_0}{t}$	D. $k = \dfrac{F}{x}$
$v = v_0 + at$ , solve for $a$
$P = I^2R$ , solve for $I^2$
$F = kx$ , solve for $k$
$I = \dfrac{Q}{t}$ , solve for $Q$

Showcase extra: the real practice and quiz players do not have this button.

Arrow keys move between questions

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These 6 questions are the free showcase. Algebro runs 37,000+ total questions, with practice for every one of the 43 Algebra 1 benchmarks and a full-length 45-item adaptive EOC practice test with the on-screen scientific calculator. Take it, get a study plan that targets your gaps, and practice with an AI tutor that explains every step.

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MA.912.F.1.1

Determining the Function Type from an Equation, Graph, or Table

MA.912.F.1.2

Evaluating Functions in Function Notation

MA.912.F.1.3

Average Rate of Change Over an Interval