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Radical Equations and Perfect Squares

Authored by Anthony Clark

Mathematics

7th Grade

CCSS covered

Radical Equations and Perfect Squares
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15 questions

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1.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Solve by using the best method (factoring, completing the square, or taking square roots):


3x2+12=39

x = √27

x = ±3√27

x = ±3

x = ±9

Tags

CCSS.HSA-REI.B.4B

2.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Solve by taking square roots:
5b2 - 4 = 41

b = 9, b = -9

b = 3, b = -3

b = 8, b = -8

no solution

Tags

CCSS.HSA-REI.B.4B

3.

MULTIPLE SELECT QUESTION

1 min • 1 pt

What value of n would guarantee that the answer to the given equation was a pair of radicals (not integer)?

0

24

32

-16

Tags

CCSS.HSA-REI.B.4B

4.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Complete the square: x²-20x+22

(x-10)²-78

(x+10)²-87

(x+10)²-125

(x-10)²+55

Tags

CCSS.HSA-REI.B.4B

5.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

To solve by completing the square, what needs to be moved in this equation?
x2 = 9 - 4x

the -4x

the 9

the x2

Tags

CCSS.HSA-REI.B.4B

6.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

none of these

Tags

CCSS.HSA-REI.B.4B

7.

MULTIPLE CHOICE QUESTION

1 min • 5 pts

Simplify the following radical: √24

2√6

4√6

2√12

3√8

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