Equations with Fractions and Decimals

Equations with fractions and decimals. In MathBound, the free Algebra I adventure game, Fraction Washer asks these problems, and the only way past is to solve them.

Part of Solving Linear Equations: chapter 2 of the standard course.

Play this battle free

10 questions, no sign-up, nothing saved. Climbs from the basics to harder questions.

What you will practice

Equations with Fractions. Solve equation with a single fraction coefficient.
Equations with Decimals. Solve equation with decimals to the tenths place.

Worked examples

Made by the game’s own question engine. Try each one, then open its steps.

Example 1 · Equations with Fractions

Solve:

\frac{3}{4} x + 11 = 17

$8$
$6$
$24$
$4.5$

Show the worked steps

$Subtract$ $11 : \frac{3}{4} x = 6 .$
$Multiply$ $by$ $\frac{4}{3} : x = 8 .$

Answer: $8$

Example 2 · Equations with Decimals

Solve:

0.5 x + 2.9 = 6.9

$8$
$13.8$
$2$
$4$

Show the worked steps

$Subtract$ $2.9 : 0.5 x = 4 .$
$Divide$ $by$ $0.5 : x = 8 .$

Answer: $8$

Example 3 · Equations with Fractions

Solve:

8 = \frac{x}{3} + 3

$24$
$5$
$1.667$
$15$

Show the worked steps

$Subtract$ $3 : 5 = \frac{x}{3} .$
$Multiply$ $by$ $3 : x = 15 .$

Answer: $15$

Where it is in your textbook

Textbook	Lessons
Standard course	2.2
Big Ideas Math Algebra 1	1.2
Big Ideas Math Algebra 1 (2022)	1.2
Carnegie Learning Algebra I	M2 2.1
CPM Core Connections Algebra	10.2.1, 10.2.2
enVision Algebra 1	1-2
enVision Algebra 1 (2024)	1-2
Eureka Math Algebra I (EngageNY)	1.12-1.13
Glencoe Algebra 1	2-3
Holt McDougal Larson Algebra 1	2.3, 2.4
Math Nation Algebra 1 (Florida B.E.S.T.)	5.1
MVP Mathematics I (Integrated Math 1)	4.3
Open Up NC Math 1 (MVP)	4.3
OpenStax Elementary Algebra 2e	2.5
Pearson Algebra 1 Common Core	2-2, 2-3
Reveal Algebra 1	2-3

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