Simplifying Expressions Quiz

What is the simplified form of the expression (12/h) + (5/k) when the denominators are hk?

• A) (12k + 5h)/(hk)

• B) (12k - 5h)/(hk)

• C) 17/(hk)

• D) (7h + 5k)/(hk)

How do you combine the expressions (7/24g^3h) and (11/6g^3h) to get a single expression with the denominator 8g^3h?

• A) 17/(8g^3h)

• B) 18/(8g^3h)

• C) (7 + 11)/(8g^3h)

• D) (7 + 11)/(24g^3h)

What is the result of subtracting (3/4p^2q^2) from (5/16p^4q)?

• A) (5p^2 - 12q^2)/(16p^4q^2)

• B) (5p^2 - 3q^2)/(16p^4q^2)

• C) (20p^2 - 3q^2)/(16p^4q^2)

• D) (5 - 3p^2q^2)/(16p^4q)

What is the simplified form of (11w)/(3w-1) - (4w)/(1-3w)?

• A) (15w)/(3w-1)

• B) (7w)/(3w-1)

• C) (8w)/(3w-1)

• D) (15w)/(1-3w)

What is the simplified result of (8)/(ab^2) - (7)/(a^2b)?

• A) (8+7b)/(ab^2)

• B) (8-7b)/(a^2b)

• C) (8a-7b)/(a^2b^2)

• D) (8-7b)/(ab^2)

What is the simplified form of (3c+12)/(2c^2+3c-4) + (5c)/(c-1)?

• A) (5c+3)/(c-1)

• B) (5c+15)/(2c^2+3c-4)

• C) (8c+15)/(2c^2+3c-4)

• D) (5c+12)/(c-1)

According to the gravitational attraction formula (k)/(r^2), if the distance r between two objects is increased by 5 kilometers, how does it affect the gravitational attraction between them?

• A) The gravitational attraction is increased.

• B) The gravitational attraction is decreased.

• C) The gravitational attraction remains the same.

• D) The gravitational attraction becomes zero.

If the gravitational attraction between two objects is represented by ( k / r^2 ), and r changes to ( r + 25 ), which of the following expressions represents the change in gravitational attraction?

• ( k / r^2 ) - ( k / (r + 25)^2 )

• ( k / r^2 ) + ( k / (r + 25)^2 )

• ( k / r ) - ( k / (r + 25) )

• ( k / r ) + ( k / (r + 25) )

A solid is made by stacking two cylinders of equal volume, V, on top of each other. If the radius of each cylinder is r, what is the height of each cylinder?

• ( V / π r^2 )

• ( 2V / π r^2 )

• ( V / 2π r^2 )

• ( V / π r )

Given two particles with different speeds, one with speed ( v - 0.5 ) m/s and the other with speed ( v + 0.75 ) m/s, and knowing they are 20 meters apart, what is the expression for the time of flight for the particle with speed ( v - 0.5 ) m/s?

• ( 20 / v )

• ( 20 / (v - 0.5) )

• ( 20 / (v + 0.75) )

• ( 20 / (v + 0.5) )