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Worksheets

Quiz Bee

Total questions: 20

Worksheet time: 15mins

Name
Class
Date
1.

1. Which of the following is the standard form of quadratic equation?

a)

ax2+bx+c<0, a0ax^2+bx+c<0,\ a≠0

b)

ax2+bx+c=0, a0ax^2+bx+c=0,\ a≠0

c)

Ax+By+C=0Ax+By+C=0

d)

y=mx+by=mx+b

2.

2.      Which of the following is a quadratic equation?

a)

 3m7=123m-7=12  

b)

 5n2+4n1-5n^2+4n-1  

c)

 2x27x  32x^2-7x\ ≥\ 3  

d)

 t25t14=0t^2-5t-14=0  

3.

3. In the quadratic equation 5w2+9w10=05w^2+9w-10=0 , which is the quadratic term?

a)

 w2w^2  

b)

 9w9w  

c)

 5w25w^2  

d)

 10-10 

4.

Which of the following rational algebraic equations is transformable to a quadratic equation?

a)

7/2+5/(s+2)=7/8s7/2+5/(s+2)=7/8s

b)

1/m+5/(m+1)=6m1/m+5/(m+1)=6m

c)

(2t1)/5+2/3=3t/4(2t-1)/5+2/3=3t/4

d)

(w+1)/2+(w+2)/4=7(w+1)/2+(w+2)/4=7

5.

How many real roots does the quadratic equation 3x2+7x+10=03x^2+7x+10=0 have?

a)

0

b)

1

c)

2

d)

3

6.

The roots of a quadratic equation 4 and 5-4\ and\ -5 are  . Which of the following quadratic equations has these roots?

a)

 x2+x20=0x^2+x-20=0  

b)

 x2x+20=0x^2-x+20=0  

c)

 x2+9x+20=0x^2+9x+20=0  

d)

 x29x+20=0x^2-9x+20=0  

7.

Which of the following mathematical statements is a quadratic inequality?

a)

5t2r20=05t^2-r-20=0

b)

9h+18<09h+18<0

c)

4x2+2x204x^2+2x-2≥0

d)

m2+9m+16=0m^2+9m+16=0

8.

What is the nature of the roots of the quadratic equation if the value of its discriminant is negative?

a)

The roots are not real

b)

The roots are irrational and not equal

c)

The roots are rational and not equal

d)

The roots are rational and equal

9.

Which of the following values of make the equation x2+x20=0x^2+x-20=0  true?

 I.5       II.4         III.5I.-5\ \ \ \ \ \ \ II.4\ \ \ \ \ \ \ \ \ III.5  

a)

I and II

b)

I and III

c)

II and III

d)

I, II, and III

10.

Which of the following quadratic equations has no real roots?

a)

6m2+4m=36m^2+4m=3

b)

t25t9=0t^2-5t-9=0

c)

4r2+2r5=04r^2+2r-5=0

d)

2s24s=42s^2-4s=-4

11.

One of the roots
 2x23x9=02x^2-3x-9=0 is 3. What is the other root? 

a)

 3/23/2  

b)

 2/32/3  

c)

 2/3-2/3  

d)

 3/2-3/2  

12.

What are the roots of the quadratic equation x23x10=0?x^2-3x-10=0?  

a)

 2 and 52\ and\ 5  

b)

 2 and 5-2\ and\ 5  

c)

 10 and 1-10\ and\ 1  

d)

 10 and 110\ and\ -1  

13.

What is the sum of the roots of the quadratic equation 3x2+5x21=0 ?3x^2+5x-21=0\ ?  

a)

 1515  

b)

 55  

c)

 5-5  

d)

 7-7  

14.

Which of the following quadratic equation can be solved easily by extracting square roots?

a)

6x29x+12=06x^2-9x+12=0

b)

5n2+7n51=05n^2+7n-51=0

c)

4m264=04m^2-64=0

d)

v23v10=0v^2-3v-10=0

15.

Which of the coordinates of points belong to the solution set of the inequality y<3x2+3x6?y<3x^2+3x-6?  

a)

 (1 , 2)(-1\ ,\ 2)  

b)

 (1 , 2)(1\ ,\ -2)  

c)

 (2 , 7)(-2\ ,\ 7)  

d)

 (1 ,1)(-1\ ,-1)  

16.

A 5cm by 5cm square piece of cardboard was cut from a bigger square cardboard. The area of the remaining cardboard was 60 cm2. If s represents the length of the bigger cardboard, which of the following expressions give the area of the remaining piece?

a)

s25s-25

b)

s225s^2-25

c)

s2+25s^2+25

d)

s2+60s^2+60

17.

The length of the wall is 17m more than its width. If the area of the wall is less than 60m2, which of the following could be its length?

a)

3m

b)

16m

c)

18m

d)

20m

18.

The length of a garden is longer than its width and the area is 36m2. How long is the garden?

a)

4m

b)

5m

c)

9m

d)

13m

19.

A car travel 30kph faster than a truck. The car covers 540km in three hours less than the time it takes the truck to travel the same distance. How fast does the car travel?

a)

60kph

b)

90kph

c)

120kph

d)

150kph

20.

A 10 cm by 17 cm picture is mounted with border of uniform width on a rectangular frame. If the total area of the border is 198 cm2, what is the length of side of the frame?

a)

23 cm

b)

20 cm

c)

16 cm

d)

13 cm