Math Quiz 1: Number Theory

1. -4a/8ab 2. -9b^3/-3a^2b 3. 3a^4/1a^3 b^2 4. 5a^4b/-10a^2 A. 3a/b^2 B. -1a^2b/2 C. 3b^2/1a^2 D. -1/2b

1 would be D 2 would be C 3 would be A 4 would be B

The least common multiple of 54 c 2de 3 and 38 c 4 is _____.

1,026 c^4 de^3

Which of the following expressions represents the GCF of 91 x^2 y and 104 xy^3 ?

13xy

Which of the following prime factorizations represents the greatest common factor of 162, 378, and 414?

2 • 3^2

Which of the following expressions is the prime factorization of 360?

2^3 • 3^2 • 5

What is the LCD of 3k/40 and k/18?

360.

Katy wants to reduce 180/315, but she wants to do it in one step.Which of the following is the greatest common factor that she should use to reduce this fraction?

45.

When the following fraction is reduced, what will be the exponent on the m ?

5.

The manager of a store wants to have a sales promotion where she gives prizes to the first several people through the door. She wants each prize to be an identical gift bag with some pins, ornaments, and mugs in it. The manager has 240 pins, 360 ornaments, and 540 mugs to put into the gift bags.How many people will get gifts?

60

Which of the following is the least common multiple of 24 and 36?

72.

Which of the following expressions represents the LCM of 91 x^2 y and 104 xy^3 ?

728x^2y^3

The LCM of 50, 120, and 225 is 5.

False.

The greatest common factor of 56f^3g^2 and 70 fg 3 is 7 fg 3.

False.

The numbers 77 and 791 are relatively prime.

False.

The LCD of 6y/5x and 8/12x is 60 x.

True.

The fractions -42/-45 and 14/15 are equivalent fractions.

True.