Algebra I Semester 1 Test

Front

What is the slope of a line?

Back

The slope of a line is a measure of its steepness, calculated as the change in y divided by the change in x (rise/run). A slope of 0 indicates a horizontal line.

Front

How do you calculate the slope between two points (x1, y1) and (x2, y2)?

Back

Slope (m) = (y2 - y1) / (x2 - x1).

Front

What is the solution to the equation 72 = -2x?

Back

x = -36.

Front

What is an arithmetic sequence?

Back

An arithmetic sequence is a sequence of numbers in which the difference between consecutive terms is constant.

Front

How do you find the nth term of an arithmetic sequence?

Back

The nth term (a_n) 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.

Front

What is the common difference in the sequence 3, 7, 11, 15, ...?

Back

The common difference is 4.

Front

What is the 20th term of the arithmetic sequence 3, 7, 11, 15, ...?

Back

The 20th term is 79.

Front

How do you solve for x in the equation 13 + x = 30?

Back

Subtract 13 from both sides: x = 30 - 13, so x = 17.

Front

What does it mean for a slope to be undefined?

Back

An undefined slope occurs in a vertical line where the change in x is 0, leading to division by zero.

Front

What is the formula for the nth term of the sequence 3, 7, 11, 15, ...?

Back

The nth term is given by a_n = 4n - 1.