These worksheets cover how to solve for variables that are square roots in algebraic equations.

#### When we are working with square roots it often makes students panic a bit. They need to remember that is why we have that button on your standard run of the mill calculator. This series of worksheets will provide students with practice solving for variables that are square roots in algebraic expressions. Some sheets will require the conversion of a word problem into an equation. Answers are available for each sheet which you will probably need on this topic.

These worksheets teach the meaning and usage of square roots, and demonstrate how to solve equations and word problems with square roots in them.

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## Completing the Square - Lesson

Learn about square roots by solving this problem: What value would be placed in the underline to create perfect square trinomials? x2 + 6x + __

## Worksheet 1

Solve the following 10 problems. Example: x2 + 2x - 10 = 0

## Worksheet 2

Solve the following 10 problems. Example: x2 - 6x - 9 = 0

## Completing the Square - Review

What value would be placed in the missing value to create perfect square trinomial? x2 + 16x + ___

## Completing the Square - Quiz

Solve the following 10 problems, then check your answers and add up your total score at the bottom. Example: x2 + 4x - 24 = 0

## Completing the Square - Do Now

Complete the problems, then put your answer in the "My Answer" box. Example: x2 + 3x + 2 = 0

## Square Roots in Equations - Meet the Skill

Learn how to solve the following equation: 4a (2) + 4 = 20

## Square Roots in Equations - Try the Skill

Follow the steps to solve for the variable "time" in this word problem.

## Square Roots in Equations - Practice the Skill

Solve these 10 equations. Example: m2 = 8,100

## Square Roots in Equations - Practice the Skill Twice

Solve these 10 equations. Example: 2y2 = 55

## Square Roots in Equations - Show the Skill

Solve these 8 word problems. Example: A square's area is 18 square meters. Find the side of the square and its perimeter.

## Square Roots in Equations - Warm Up

Solve these 3 word problems. Example: The formula d = 5t2 tells the distance (in meters) a free-falling object falls in t seconds. Find how many seconds it takes for an object in free fall to fall 32 meters (starting from rest)?