TEST qtr 2 week 9 24/25 (SJ)

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 not equal to the other. Examples include <, >, ≤, and ≥.

Front

How do you solve the inequality -4x + 14 ≤ 54?

Back

To solve -4x + 14 ≤ 54, first subtract 14 from both sides: -4x ≤ 40. Then divide by -4 (remember to flip the inequality sign): x ≥ -10.

Front

What is the median of a set of numbers?

Back

The median is the middle value in a list of numbers sorted in ascending order. If there is an even number of values, the median is the average of the two middle numbers.

Front

How do you find the mean of a set of numbers?

Back

To find the mean, add all the numbers together and then divide by the total count of numbers. For example, for {23, 45, 64, 80}, the mean is (23 + 45 + 64 + 80) / 4 = 53.

Front

Back

This inequality means that half of b is less than 13. To find b, multiply both sides by 2: b < 26.

Front

What is the solution set of the inequality -4a ≤ -28?

Back

To solve -4a ≤ -28, divide both sides by -4 (remember to flip the inequality sign): a ≥ 7.

Front

What is a variable in mathematics?

Back

A variable is a symbol, often a letter, that represents a number in mathematical expressions or equations. For example, in the equation x + 2 = 5, x is the variable.

Front

What is the difference between mean and median?

Back

The mean is the average of a set of numbers, while the median is the middle value when the numbers are arranged in order. They can be different, especially in skewed distributions.

Front

What does it mean to graph an inequality?

Back

Graphing an inequality involves drawing a number line or coordinate plane to represent the solution set. For example, for x ≥ -10, you would shade to the right of -10.

Front

What is a solution set?

Back

A solution set is the set of all values that satisfy a given mathematical statement or inequality.