Side SweeperBalancers · linear equations

Sweeps everything to one side: variables on both sides.

Variables and Constants 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 Both. Solve equation with variables and constants on both sides (positive).

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

Solve:

2 x + 1 = x + 5

Show the worked steps

Answer: $4$

Gym

A

charges

a

$40

joining

fee

plus

$5

a

visit.

Gym

B

charges

$9

a

visit

and

no

fee.

After

how

many

visits

do

they

cost

the

same?

Show the worked steps

Answer: $10$

Which

equation

has

the

same

solution

as

- 4 x + 10 = x + 30,

with

x

on

one

side

only?

Show the worked steps

$Subtract$ $x$ $from$ $both$ $sides:$ $the$ $x$ $terms$ $combine$ $to$ $- 5 x .$
$- 5 x + 10 = 30,$ $which$ $still$ $has$ $x = - 4 .$

Answer: $- 5 x + 10 = 30$

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