Equations & 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 inequality 2k - 9 ≤ -19?

Back

Add 9 to both sides to get 2k ≤ -10, then divide by 2 to find k ≤ -5.

Front

What is the first step to solve the equation -5(2-w)=10?

Back

Distribute -5 to both terms inside the parentheses: -10 + 5w = 10.

Front

What is the solution to the equation 331 = 6x + 7?

Back

Subtract 7 from both sides to get 324 = 6x, then divide by 6 to find x = 54.

Front

What does a closed dot on a graph represent?

Back

A closed dot represents that the value is included in the solution set, used for '≤' and '≥'.

Front

What does an open dot on a graph represent?

Back

An open dot represents that the value is not included in the solution set, used for '<' and '>'.

Front

How can you express the total amount raised by the choir members as an inequality?

Back

30x + 600 ≥ 1500, where x is the average amount each member raises.