Semester 1 Review PreAP - Part 1

Front

Solve for x: 7^x - 13 = 2222

Back

x = 3.963

Front

If r = -2 and a_1 = 3, what is a_7 of the geometric sequence?

Back

a_7 = 192

Front

An investment of $4000 earns interest at an annual rate of 6%. How long, in years, will it take for the investment to double?

Back

It will take approximately 11.9 years.

Front

Complete the restriction that would complete 'B': x ___ 2

Back

x ≥ 2

Front

Find the zeros of the function f(x) = 4x^3 + 17x^2 - 15x

Back

The zeros are -5, 3/4, and 0.

Front

What is the formula for the sum of a geometric series?

Back

The sum S_n = a(1 - r^n) / (1 - r) for |r| < 1.

Front

Define a geometric sequence.

Back

A geometric sequence is a sequence of numbers where each term after the first is found by multiplying the previous term by a fixed, non-zero number called the common ratio.

Front

What is the formula for compound interest?

Back

A = P(1 + r/n)^(nt), where A is the amount, P is the principal, r is the rate, n is the number of times interest is compounded per year, and t is the time in years.

Front

What is the difference between a linear function and a quadratic function?

Back

A linear function has the form f(x) = mx + b, while a quadratic function has the form f(x) = ax^2 + bx + c.

Front

What is the quadratic formula?

Back

The quadratic formula is x = (-b ± √(b^2 - 4ac)) / (2a).