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solving radical equations - Printable Math Worksheets class 10 - Wayground

solving radical equations

Jheaneil Clarke

Created by Jheaneil Clarke

20 questions

10th Grade

Math

Updated Oct 2026

Designed for Grade 10 mathematics, this free printable worksheet helps students build fluency with solving radical equations. It begins with foundational vocabulary by asking students to identify the radicand, then moves into equation-solving items that require selecting numerical solutions or recognizing when an equation has no solution. The worksheet includes 20 questions: 19 multiple-choice items and 1 multiple-select item, giving students repeated practice interpreting radical notation and evaluating possible answers. Teachers can use the worksheet for guided practice, independent work, homework, or a quick formative assessment after introducing radical equations. Students must distinguish related terms, work through varied equation forms, and use the answer choices to check their reasoning rather than rely on a single procedure. A complete answer key is included, making this free resource practical for classroom review, intervention, or printable assessment.

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solving radical equations

Total questions: 20

Name
Class
Date
1.

The number under the radical sign or square root sign is called the ______.

a)

radical sign

b)

radicand

c)

factor

d)

exponent

2.
Question Image
a)
x = 12
b)
x = 24
c)
x = 144
d)
x = 121
3.
Question Image
a)

10

b)

8

c)

16

d)

4

4.
Solve
Solve
a)
8
b)
38
c)
34
d)
14
5.
Question Image
a)

5

b)

4

c)

41

d)

82

6.
Question Image
a)

2

b)

-2

c)

4

d)

-4

7.
Solve
Solve
a)
102
b)
12
c)
98
d)
7
8.
Solve the equation:

Solve the equation:

a)

A

b)

B

c)

C

d)

D

9.
Solve.
Solve.
a)
8
b)
-8
c)
0
d)
no solution
10.
Question Image
a)

1

b)

3

c)

224

d)

226

11.
Question Image
a)

5

b)

33

c)

85

d)

21

12.
Question Image
a)

20

b)

11

c)

4

d)

-2

13.
Solve the radical equation
Solve the radical equation
a)
25
b)
50
c)
125
d)
5
14.
Question Image
a)

9

b)

-9

c)

21

d)

-21

15.
Question Image
a)

4

b)

-4

c)

2

d)

-2

16.
Solve
Solve
a)
-14
b)
14
c)
no solution
d)
28
17.
Solve
Solve
a)
20
b)
-4
c)
4
d)
-10
18.
Question Image
a)

3

b)

-3

c)

2

d)

0

19.
Question Image
a)

14

b)

-14

c)

6

d)

-6

20.
Question Image
a)

3

b)

2

c)

-3

d)

-2

WaygroundAnswer Key

solving radical equations

Total questions: 20

1.
b)

radicand

2.
c) x = 144
3.
a)

10

4.
b) 38
5.
a)

5

6.
a)

2

7.
d) 7
8.
b)

B

9.
d) no solution
10.
b)

3

11.
a)

5

12.
a)

20

13.
c) 125
14.
a)

9

15.
a)

4

16.
b) 14
17.
c) 4
18.
a)

3

19.
a)

14

20.
a)

3

, b)

2

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FAQs

What does this solving radical equations worksheet cover?

This Grade 10 mathematics worksheet covers identifying the radicand and solving radical equations, including problems whose result is a number and at least one with no solution. Its 20 items—19 multiple choice and 1 multiple select—give students repeated practice interpreting radical notation and evaluating possible solutions.

How can I use this worksheet to teach students to solve radical equations?

Introduce the vocabulary item on the radicand before modeling how to interpret the radical expressions in the equation-solving questions. Then have students solve a few items with guidance, explain why a selected number satisfies the equation or why an equation has no solution, and complete the remaining multiple-choice and multiple-select questions independently.

What mistakes should I watch for when students complete this radical equations worksheet?

Watch for students confusing the radicand with the radical sign, since the worksheet explicitly tests that distinction. In the solving items, students may select a tempting numerical option without checking it in the original equation or overlook the possibility of “no solution,” so ask them to verify each result before choosing an answer.

How do I assign and grade this solving radical equations worksheet?

On Wayground, assign it as a printable PDF or as a digital quiz; the worksheet includes a complete answer key for checking the 19 multiple-choice and 1 multiple-select responses. For printable submissions, scan student work with the Wayground for Teachers app to grade it efficiently.

How can I differentiate this radical equations worksheet for my students?

Use the worksheet’s Advanced Settings to adjust font spacing and font size for the equation-solving and vocabulary items, or enable a dyslexia-friendly font. You can also translate the worksheet into another language to support students who need help understanding terms such as “radicand” while working through the math.

Where can I find more worksheets like this on Wayground?

Wayground offers a comprehensive collection of free printable worksheets and practice problems across all subjects, with downloadable PDFs and answer keys to support mastery of essential skills and concepts. Browse more resources at https://wayground.com/en-us/worksheets.

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