Alg.1(MS): 1st Sem. Final Rev. (super)

Front

Evaluate f(2) for the function f(x) = 3x + 1.

Back

f(2) = 3(2) + 1 = 6 + 1 = 7.

Front

What is the sum of the functions f(x) = 9 - 3x and g(x) = 5x - 7?

Back

f(x) + g(x) = (9 - 3x) + (5x - 7) = 2x + 2.

Front

If there are 10 mold spores on a piece of bread and the geometric growth rate is 50% per day, how many mold spores will there be after 1 week?

Back

After 1 week (7 days), the number of mold spores will be approximately 171.

Front

What is the solution to the system of equations represented by the points (15, -1) and (9, 1)?

Back

The solution to the system of equations is (9, 1).

Front

Find the 75th term of the arithmetic sequence -17, -13, -9, ...

Back

The 75th term is 279.

Front

Define a linear function.

Back

A linear function is a function that can be graphically represented as a straight line, defined by the equation f(x) = mx + b, where m is the slope and b is the y-intercept.

Front

What is the slope of the line represented by the equation y = 2x + 3?

Back

The slope of the line is 2.

Front

What is the y-intercept of the function f(x) = -4x + 5?

Back

The y-intercept is 5.

Front

Explain what a geometric sequence is.

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 the nth term of an arithmetic sequence?

Back

The nth term of an arithmetic sequence can be found using the formula: a_n = a_1 + (n-1)d, where a_1 is the first term and d is the common difference.