Test Prep

Front

What is the sum of A and B if A = 4 and B = 4?

Back

A + B = 8

Front

How do you add two vectors a = (4, -5) and b = (-7, 4)?

Back

a + b = (4 + (-7), -5 + 4) = (-3, -1)

Front

What is the result of subtracting -5 from 10?

Back

10 - (-5) = 15

Front

Evaluate log₃81.

Back

log₃81 = 4 because 3⁴ = 81.

Front

What is log₉27?

Back

log₉27 = 3/2 because 9^3/2 = 27.

Front

What is the definition of a vector?

Back

A vector is a quantity that has both magnitude and direction.

Front

What is the formula for adding two vectors?

Back

If a = (x1, y1) and b = (x2, y2), then a + b = (x1 + x2, y1 + y2).

Front

What does it mean to evaluate a logarithm?

Back

To evaluate a logarithm means to find the exponent to which the base must be raised to produce a given number.

Front

What is the difference between a scalar and a vector?

Back

A scalar has only magnitude, while a vector has both magnitude and direction.

Front

How do you subtract two vectors a = (3, 2) and b = (1, 1)?

Back

a - b = (3 - 1, 2 - 1) = (2, 1).