Alg S1 - What do you remember??

Front

What is the formula to calculate the slope of a line given two points (x1, y1) and (x2, y2)?

Back

The slope (m) is calculated using the formula: m = (y2 - y1) / (x2 - x1).

Front

What does it mean if a line is dotted in a graph representing an inequality?

Back

A dotted line indicates that the points on the line are not included in the solution set of the inequality.

Front

What is the 7th term in the arithmetic sequence 4, 8, 12, 16?

Back

The 7th term is 28.

Front

What is the explicit rule for the arithmetic sequence where the first term is 6 and the common difference is 5?

Back

The explicit rule is given by: a_n = 6 + 5(n - 1).

Front

How do you solve the equation (3x + 2)(x + 1) = 0?

Back

Set each factor to zero: 3x + 2 = 0 gives x = -2/3; x + 1 = 0 gives x = -1.

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

Define a linear inequality.

Back

A linear inequality is an inequality that involves a linear function, typically expressed in the form ax + b < c, ax + b > c, etc.

Front

What is the difference between a solid line and a dotted line in graphing inequalities?

Back

A solid line indicates that points on the line are included in the solution set, while a dotted line indicates they are not.

Front

What is the common difference in the sequence 4, 8, 12, 16?

Back

The common difference is 4.

Front

How do you determine if a point is a solution to an inequality?

Back

Substitute the point into the inequality; if the inequality holds true, then the point is a solution.