Side SweeperBalancers · linear equations

Sweeps everything to one side: variables on both sides.

Variables on Both Sides

Variables on both sides. In MathBound, the free Algebra I adventure game, Side Sweeper asks these problems, and the only way past is to solve them.

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

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

What you will practice

Isolate Variable. Solve equation with variables on both sides (positive coefficients).
Translate and Solve. Translate basic phrase into an equation with variables on both sides and solve.

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

Solve:

5 x = 7 x - 14

Show the worked steps

Answer: $7$

Translate

and

solve:

Twice

a

number,

increased

by

24,

is

equal

to

5

times

the

number .

Show the worked steps

Answer: $8$

Lena

solved

4 x = 2 x + 14

and

got

x = \frac{7}{3} .

What

is

the

correct

solution?

Show the worked steps

$Lena$ $added$ $2 x$ $to$ $the$ $left$ $side$ $instead$ $of$ $subtracting$ $it.$
$Subtract$ $2 x$ $from$ $both$ $sides:$ $2 x = 14 .$
$x = \frac{14}{2} = 7 .$

Answer: $7$

Textbook	Lessons
Standard course	2.3
Big Ideas Math Algebra 1	1.3
Big Ideas Math Algebra 1 (2022)	1.5
CPM Core Connections Algebra	4.1.1
enVision Algebra 1	1-3
enVision Algebra 1 (2024)	1-3
Glencoe Algebra 1	2-4
Holt McDougal Larson Algebra 1	2.5
Math Nation Algebra 1 (Florida B.E.S.T.)	5.4, 5.5
OpenStax Elementary Algebra 2e	2.3a
Pearson Algebra 1 Common Core	2-4
Reveal Algebra 1	2-4