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Taking Square Root of Both Sides

Authored by Anthony Clark

Mathematics

9th Grade

CCSS covered

Taking Square Root of Both Sides
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19 questions

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1.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

When solving a quadratic equation, when do you use the plus or minus (±) symbol?

After taking the square root of both sides

After adding the square to both sides

After taking half of b

After setting the equation equal to zero

Answer explanation

You use the ± symbol after taking the square root of both sides of a quadratic equation. This indicates that there are two possible solutions: one positive and one negative.

Tags

CCSS.HSA-REI.B.4B

2.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Choose the best method to solve this quadratic:

​ (a)  

3x2 - 21 = 3

Square Roots

ZPP

Quadratic Formula

Answer explanation

To solve the equation 3x² - 21 = 3, first simplify it to 3x² = 24. Dividing by 3 gives x² = 8. Taking the square root of both sides leads to the solution. Thus, the best method is Square Roots.

Tags

CCSS.HSA-REI.B.4B

3.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Solve:
x2 - 49 = 0

x = -7, x = 7

x = -7

x = 7

x = -7, x = 1

Answer explanation

To solve x² - 49 = 0, factor it as (x - 7)(x + 7) = 0. Setting each factor to zero gives x - 7 = 0 (x = 7) and x + 7 = 0 (x = -7). Thus, the solutions are x = -7 and x = 7, making the correct choice x = -7, x = 7.

Tags

CCSS.HSA-REI.B.4B

4.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Media Image

When do you use the plus or minus symbol?

After taking the square root of both sides

After adding the square to both sides

After taking half of the x-term

After setting the equation equal to zero

Tags

CCSS.HSA-REI.B.4B

5.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Solve by taking square roots:

5m2 + 1 = 6

m = 1

m = 1 or -1

m = √7

m = 7/5 m = -7/5

Tags

CCSS.HSA-REI.B.4B

6.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Solve by square roots

k2 - 6 = 43

k = √37

k = 37 or - 37

k = 7, k = -7

no solution

Tags

CCSS.8.EE.A.2

7.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

x2 = 100

10

10 or -10

50

50 or -50

Tags

CCSS.8.EE.A.2

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