Live Education Quiz

1

Factorize: 2x² - 18

A

2(x - 3)(x + 3)

B

2(x² - 9)

C

2(x - 3)²

D

(2x - 6)(x + 3)

2

Factorize: x² + 8x + 16

A

(x + 4)²

B

(x - 4)²

C

(x + 4)(x - 4)

D

(x + 2)(x + 8)

3

If A = {x | x is a factor of 12} and B = {x | x is a factor of 18}, what is A ∩ B?

A

{1, 2, 3, 6}

B

{1, 2, 4, 6, 12}

C

{1, 2, 3, 6, 9, 18}

D

{1, 2, 3}

4

Which of the following is the correct representation of the union of sets in a Venn diagram?

A

Shaded area covering both circles entirely

B

Shaded area where circles overlap

C

Shaded area inside one circle only

D

No shading

5

Which of the following is true for disjoint sets A and B?

A

A ∩ B = ∅

B

A ∪ B = ∅

C

A ∩ B = U

D

A = B

6

Factorize: 3x² - 10x + 8

A

(3x - 4)(x - 2)

B

(3x + 4)(x + 2)

C

(3x - 2)(x - 4)

D

(3x + 2)(x + 4)

7

If A = {1, 2, 3, 4} and B = {3, 4, 5, 6}, what is A ∪ B?

A

{1, 2, 3, 4, 5, 6}

B

{3, 4}

C

{1, 2, 5, 6}

D

{1, 2}

8

What does the shaded region in a Venn diagram of A ∩ B represent?

A

Elements in A only

B

Elements in B only

C

Elements in both A and B

D

Elements in neither A nor B

9

Simplify: (x + 3)/(x² + 5x + 6)

A

1/(x + 2)

B

1/(x + 3)

C

(x + 3)/(x + 2)

D

1/(x - 2)

10

Simplify: (x² - 4)/(x - 2)

A

x + 2

B

x - 2

C

x + 4

D

x - 4

🎉 Practice Complete!