Midterm exam review 2024

Front

What is the equation of the absolute value function?

Back

f(x)= 4|x - 3|

Front

True or false: The solution, root, x-intercept, and zero of a problem are all the same thing.

Back

True

Front

Simplify: (10+ 15i) - (48 - 30i)

Back

-38 + 45i

Front

Factor: x^3 + 1

Back

(x+1)(x^2 - x + 1)

Front

Simplify: 3i + 5i + 2i + 10

Back

10i + 10

Front

What is the definition of an absolute value function?

Back

A function that measures the distance of a number from zero on the number line, always resulting in a non-negative value.

Front

What is the difference between a solution and a root of an equation?

Back

They are often used interchangeably, but a root specifically refers to the value of x that makes the equation equal to zero.

Front

What is the standard form of a complex number?

Back

A complex number is expressed as a + bi, where a is the real part and b is the imaginary part.

Front

What is the formula for factoring a sum of cubes?

Back

a^3 + b^3 = (a + b)(a^2 - ab + b^2)