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Quizizz 9.3 Square Roots to Solve Quadratics (#9)

Total questions: 16

Worksheet time: 4hrs 0mins

Name
Class
Date
1.

Which equation can be solved using square roots?

a)

3x2 + 2x + 1 = 0

b)

3x2 -27 = 0

c)

3x2 + 2x = 1

d)

4x + 10 = 0

2.

How many solutions does the equation have?
  x2+7=7x^2+7=7   

a)

1 Real Solution

b)

2 Real Solutions

c)

No Real Solution

3.

How many solutions does the equation have?
  8x2=80-8x^2=80   

a)

1 Real Solution

b)

2 Real Solutions

c)

No Real Solution

4.

Solve using Square Roots.
 x23=78x^2-3=78  

a)

 ±9\pm9  

b)

9

c)

-9

d)

no real solution

5.

Solve for x. 
 x2+15=0x^2+15=0 

a)

 ±15\pm15  

b)

 ±3.87\pm3.87  

c)

 ±7.85\pm7.85  

d)

No Solution

6.

Solve by taking square roots:
 5m2+1=65m^2+1=6  

a)

 m=0m=0  

b)

 m=1 or 1m=-1\ or\ 1 

c)

no real solutions

d)

 m=75 or m=75m=\frac{7}{5}\ or\ m=-\frac{7}{5}  

7.

Find the solutions.
 5b24=415b^2-4=41  

a)

b = 9, b = -9

b)

b = 3, b = -3

c)

b = 8, b = -8

d)

no real solution

8.

Solve
 4m2100=04m^2-100=0   

a)

m=25, -25

b)

m=96

c)

m=5, -5

d)

m=-96

9.

Solve

x2 = 121

a)

x = 60.5

b)

x = ± 11

c)

x = ± 12

d)

x = 11

10.

Solve by taking square roots:

k2 +50 = 43

a)

k=7k=\sqrt{7}

b)

k=±93k=\pm93

c)

k=±7k=\pm7

d)

no real solution

11.

Solve: x2 - 81 = 0

a)

9

b)

9 and -9

c)

81 and -81

d)

no real solutions

12.

Find the roots.
 x2=10x^2=10  

a)

 ±4.7\pm4.7  

b)

 ±3.2\pm3.2  

c)

 ±2\pm2  

d)

 ±5\pm5  

13.

Find the solutions.
 4x2=644x^2=64  

a)

x = ± 16

b)

x = 16

c)

x = ± 4

d)

x = 4

14.

Find the zeros: 2x2 - 30 = 20

a)

±52\pm5\sqrt{2}

b)

5 and -5

c)

5

d)

no real solutions

15.

Explain why the equation cannot be solved using square roots.
 x2+3x=0x^2+3x=0  

4 lines
16.

If graphed, how many times would the parabola touch the x-axis? Explain your reasoning.
 x216=0x^2-16=0  

4 lines