MA.6.AR.2.4 · Algebraic Reasoning

Finding Unknown Decimals and Fractions in Equations: Sample FAST Questions

Students determine the unknown decimal or fraction in an equation involving any of the four operations, where the unknown can appear in any position. For example, they find the missing value in 2.5 × ? = 7.5 or ? − 1/3 = 5/6. This extends one-step equation solving beyond whole numbers.

How the FAST tests this benchmark

On the FAST, these appear mostly as equation editor items where students enter the missing decimal or fraction, with some multiple choice variants.

Skills students need

Find the unknown decimal in an equation
Find the unknown fraction in an equation

Try 4 real MA.6.AR.2.4 questions

These come straight from Algebro's question bank. Pick an answer to check it instantly.

Question 1EasyEquation Editor

An equation is shown.

x + \frac{5}{12} = \frac{7}{12}

. What is the value of

x

Enter the number only. Do not include units like $, %, or ft²

Question 2MediumEquation Editor

An equation is shown.

2.5x = 17.5

. What is the value of

x

Enter the number only. Do not include units like $, %, or ft²

Question 3MediumEquation Editor

An equation is shown.

x + \frac{1}{3} = \frac{11}{15}

. What is the value of

x

Enter the number only. Do not include units like $, %, or ft²

Question 4HardEquation Editor

An equation is shown.

\frac{5}{8}x = \frac{15}{16}

. What is the value of

x

Enter the number only. Do not include units like $, %, or ft²

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More Algebraic Reasoning benchmarks

MA.6.AR.1.1

Translating Between Words and Algebraic Expressions

MA.6.AR.1.2

Writing and Graphing Inequalities

MA.6.AR.1.3

Evaluating Algebraic Expressions