Parcel PostbotBalancers · linear equations

Hands a parcel to every term: the distributive property, and equations with no or many solutions.

Multi-Step Linear Equations

The distributive property, and equations with no or many solutions. In MathBound, the free Algebra I adventure game, Parcel Postbot 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

Distributive Property. Solve equation requiring one application of distributive property.
Classify Solutions. Identify conditional equations (exactly one solution).

Worked examples

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

Example 1 · Distributive Property

Solve:

3 + 5 (x - 4) = 18

$6.25$
$- 1$
$7$
$3.8$

Show the worked steps

$Multiplication$ $comes$ $first:$ $distribute$ $to$ $get$ $3 + 5 x - 20 = 18 .$
$Combine:$ $5 x - 17 = 18,$ $so$ $5 x = 35 .$
$x = 7 .$

Answer: $7$

Example 2 · Classify Solutions

For

which

value

of

k

does

k x + 4 = 6 x - 2

NOT

have

exactly

one

solution?

$4$
$- 6$
$6$
$- 2$

Show the worked steps

$With$ $k = 6$ $the$ $x$ $terms$ $match$ $and$ $cancel,$ $leaving$ $4 = - 2,$ $which$ $is$ $false.$
$Any$ $other$ $k$ $leaves$ $an$ $x$ $term,$ $and$ $exactly$ $one$ $solution.$

Answer: $6$

Example 3 · Distributive Property

Solve:

4 (x + 8) = 64

$8$
$24$
$14$
$56$

Show the worked steps

$Distribute:$ $4 x + 32 = 64 .$
$Subtract$ $32 : 4 x = 32 .$
$x = 8 .$

Answer: $8$

Where it is in your textbook

Textbook	Lessons
Standard course	2.2, 2.3
Big Ideas Math Algebra 1	1.2, 1.3
Big Ideas Math Algebra 1 (2022)	1.2, 1.5
Carnegie Learning Algebra I	M2 2.1
CPM Core Connections Algebra	3.3.1, 10.2.4
CPS Skyline Algebra	4.1
enVision Algebra 1	1-2, 1-3
enVision Algebra 1 (2024)	1-2, 1-3
Eureka Math Algebra I (EngageNY)	1.12-1.13
Glencoe Algebra 1	1-5, 2-3, 2-4, 8-2
HMH Into Algebra 1	2.2
Holt McDougal Larson Algebra 1	2.4, 2.5
Illustrative Mathematics Algebra 1	2.6-2.7
Illustrative Mathematics Algebra 1 (v.360)	2.6-2.7
Math Nation Algebra 1 (Florida B.E.S.T.)	5.1, 5.3, 5.5
MVP Mathematics I (Integrated Math 1)	4.1, 4.6
Open Up NC Math 1 (MVP)	4.1, 4.6
OpenStax Elementary Algebra 2e	2.4
Pearson Algebra 1 Common Core	2-3, 2-4
Reveal Algebra 1	2-3, 2-4, 10-2
SpringBoard Algebra 1	2

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