Square Root Property

The square root property. In MathBound, the free Algebra I adventure game, Wishbone Bot asks these problems, and the only way past is to solve them.

Part of Solving Quadratic Equations: chapter 10 of the standard course.

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

What you will practice

Solve x^2 = k. Solve a basic quadratic equation where the squared variable is isolated by taking the square root of both sides (requires the +/- sign).
Isolate the Squared Term. Use algebraic operations to isolate the squared variable term before applying the square root property.
Solve (x-h)^2 = k. Apply the square root property to an isolated squared binomial expression and solve for the variable.

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

A

student

solved

x^{2} = 4

and

gave

only

x = 2 .

Which

solution

is

missing?

Show the worked steps

$(- 2)^{2} = 4$ $too,$ $since$ $a$ $negative$ $times$ $a$ $negative$ $is$ $positive.$
$So$ $x = - 2$ $is$ $the$ $other$ $solution.$

Answer: $x = - 2$

Solve:

4 x^{2} = 16

Show the worked steps

Answer: $x = \pm 2$

Solve:

(2 x - 3)^{2} = 9

Show the worked steps

Answer: $x = 3$ $or$ $x = 0$

Textbook	Lessons
Standard course	10.1
Big Ideas Math Algebra 1	8.2, 9.3
Big Ideas Math Algebra 1 (2022)	8.2, 9.3
Carnegie Learning Algebra I	M5 2.2, M5 2.3
CPM Core Connections Algebra	9.1.1, 9.1.3
CPS Skyline Algebra	7.12-7.13
enVision Algebra 1	9-4
enVision Algebra 1 (2024)	9-3
Eureka Math Algebra I (EngageNY)	4.6-4.7
Glencoe Algebra 1	8-9, 10-5
HMH Into Algebra 1	18.1
Holt McDougal Larson Algebra 1	9.4
Illustrative Mathematics Algebra 1	7.3, 7.4-7.5, 7.15
Illustrative Mathematics Algebra 1 (v.360)	8.3, 8.4-8.5, 8.15
Math Nation Algebra 1 (Florida B.E.S.T.)	9.5, 9.8, 9.10
Open Up NC Math 1 (MVP)	7.7, 7.8
OpenStax Elementary Algebra 2e	10.1
Pearson Algebra 1 Common Core	9-3, 10-1
Reveal Algebra 1	11-5
SpringBoard Algebra 1	32