11 CIP test

Front

Given vectors u=(3,-5) and v=(2, 7), find v - u. Show Work!

Back

v - u = (2 - 3, 7 - (-5)) = (-1, 12)

Front

Solve for x: -5x + 3(-4x - 19) = -142. Show Work!

Back

x = 5

Front

Simplify by combining like terms: (5a^2 - 12 + 3a) - (9 - 5a + 9a^2). Show Work!

Back

-4a^2 + 8a - 21

Front

Simplify the expression: 8i - 3(4 - 2i) + 5. Show Work!

Back

-7 + 14i

Front

Simplify ln (14.6).

Back

2.68

Front

Definition of a vector.

Back

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

Front

What is the formula for the difference of two vectors?

Back

If u = (u1, u2) and v = (v1, v2), then u - v = (u1 - v1, u2 - v2).

Front

What does it mean to combine like terms in algebra?

Back

Combining like terms means to add or subtract terms that have the same variable raised to the same power.

Front

What is the distributive property?

Back

The distributive property states that a(b + c) = ab + ac.

Front

What is the natural logarithm of a number?

Back

The natural logarithm (ln) is the logarithm to the base e, where e is approximately equal to 2.718.