SAT II Math II : Mathematical Relationships

Example Questions

Example Question #8 : Properties And Identities

Which expression is not equal to 0 for all positive values of ?

All four expressions given in the other choices are equal to 0 for all positive values of .

Explanation:

is the correct choice.

for all values of , since, by the zero property of multiplication, any number multiplied by 0 yields product 0.

for all values of  - this is a direct statement of the inverse property of addition.

, since 0 raised to any positive power yields a result of 0.

, since any nonxero number raised to the power of 0 yields a result of 1.

Example Question #71 : Mathematical Relationships

Solve the proportion:

Explanation:

To solve the proportion, cross multiply the terms.

Subtract 9 on both sides.

Divide by 6 on both sides.

Example Question #1 : Ratios And Proportions

Solve the ratio:

Explanation:

To solve the proportion, cross multiply.

Divide by 9 on both sides.

Reduce the fractions.

Example Question #73 : Mathematical Relationships

Determine the value of :

Explanation:

Cross multiply the fractions.

Simplify both sides.

Subtract  on both sides.

Divide by 58 on both sides.

Reduce both fractions.

Example Question #74 : Mathematical Relationships

Solve the proportion:

Explanation:

Cross multiply both sides.

Simplify and solve for x.

Example Question #1 : Ratios And Proportions

Solve the proportion:

Explanation:

Cross multiply both sides.

Divide by 9 on both sides.

Example Question #76 : Mathematical Relationships

Solve the proportion:

Explanation:

Cross multiply the two fractions.

Divide by nine on both sides.

Example Question #101 : Sat Subject Test In Math Ii

Solve the proportion:

Explanation:

Cross multiply the two fractions.

Divide by six on both sides.

Example Question #1 : Matrices

Multiply:

Explanation:

The product of a 2 x 2 matrix and a 2 x 1 matrix is a 2 x 1 matrix.

Multiply each row in the first matrix by the column matrix by multiplying elements in corresponding positions, then adding the products, as follows:

\

Multiply: