Algebra 1 First Semester Review

Front

What is the solution set for the inequality y < 1 - 6x?

Back

The solution set includes all points (x, y) that satisfy the inequality, such as (-1, 1).

Front

Which point is NOT part of the solution set for the inequality y < 1 - 6x?

Back

The point (-10, -10) is NOT part of the solution set.

Front

How do you 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 is the slope of the line that passes through the points (20, -3) and (-10, 7)?

Back

The slope is -1/3.

Front

What does the range of a graph represent?

Back

The range represents the set of possible output values (y-values) of a function.

Front

What is the range of the graph if it is defined as 1 ≤ y ≤ 5?

Back

The range is all y-values from 1 to 5, inclusive.

Front

What is an inequality?

Back

An inequality is a mathematical statement that compares two expressions using symbols like <, >, ≤, or ≥.

Front

What is the equivalent inequality for 7x - 2y > 8?

Back

To find the equivalent inequality, rearrange it to isolate y.

Front

What is the difference between a function and a relation?

Back

A function is a specific type of relation where each input has exactly one output.

Front

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

Back

Substitute the point's coordinates into the inequality and check if the statement is true.