Unit 5 Equations and Inequalities

Front

What is an equation?

Back

An equation is a mathematical statement that asserts the equality of two expressions, typically containing variables and constants.

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.

Front

What does the symbol '≤' mean?

Back

The symbol '≤' means 'less than or equal to'.

Front

What does the symbol '≥' mean?

Back

The symbol '≥' means 'greater than or equal to'.

Front

How do you solve the equation x - 214.8 = 198.4?

Back

To solve for x, add 214.8 to both sides: x = 198.4 + 214.8 = 413.2.

Front

What does a closed circle on a number line indicate when graphing inequalities?

Back

A closed circle indicates that the number is included in the solution set, meaning the inequality uses '≤' or '≥'.

Front

What does an open circle on a number line indicate when graphing inequalities?

Back

An open circle indicates that the number is not included in the solution set, meaning the inequality uses '<' or '>'.

Front

How do you represent the inequality for a number line that starts at 3 and goes to the right?

Back

The inequality is represented as x ≥ 3.

Front

If a school play costs $640 and tickets are sold for $8 each, how many tickets must be sold?

Back

To find the number of tickets, divide the total cost by the price per ticket: 640 ÷ 8 = 80 tickets.

Front

What is the solution to the inequality x > 2?

Back

The solution includes all numbers greater than 2, represented on a number line with an open circle at 2.