Spiral Review 1

Front

What is an inequality?

Back

An inequality is a mathematical statement that compares two expressions and shows that one is greater than, less than, or equal to the other. For example, in the inequality x + 3 < 7, it shows that x + 3 is less than 7.

Front

How do you write an inequality to represent the number of students that can still be seated in a cafeteria with a maximum capacity?

Back

If the cafeteria can seat 250 students and 203 are already seated, the inequality can be written as 203 + s ≤ 250, where s represents the additional students that can be seated.

Front

What is the solution to the inequality 203 + s ≤ 250?

Back

The solution is s ≤ 47, meaning that up to 47 additional students can be seated.

Front

What does the equation y = mx + b represent?

Back

This is the slope-intercept form of a linear equation, where m is the slope of the line, b is the y-intercept, and x and y are the variables.

Front

How do you solve for x in the equation y = mx + b?

Back

To solve for x, rearrange the equation to get x = (y - b) / m.

Front

What is a function?

Back

A function is a relation that assigns exactly one output for each input. In a graph, a function passes the vertical line test, meaning no vertical line intersects the graph at more than one point.

Front

How can you determine if a graph represents a function?

Back

To determine if a graph is a function, use the vertical line test: if any vertical line crosses the graph more than once, it is not a function.

Front

What is the range of a function?

Back

The range of a function is the set of all possible output values (y-values) that the function can produce.

Front

Given the mapping { (1, 2), (2, 4), (3, 2) }, what is the range?

Back

The range is {2, 4}, as these are the output values corresponding to the inputs.

Front

What does it mean to simplify an expression?

Back

Simplifying an expression means to reduce it to its simplest form, combining like terms and removing any unnecessary elements.