Module 3 Review: Expressions, Inequalities and Expressions

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, greater than or equal to, or less than or equal to the other.

Front

How do you solve an inequality?

Back

To solve an inequality, isolate the variable on one side of the inequality sign using inverse operations, similar to solving an equation. Remember to reverse the inequality sign when multiplying or dividing by a negative number.

Front

What does the symbol '≥' mean?

Back

'≥' means 'greater than or equal to'. It indicates that the value on the left is either greater than or equal to the value on the right.

Front

What does the symbol '≤' mean?

Back

'≤' means 'less than or equal to'. It indicates that the value on the left is either less than or equal to the value on the right.

Front

What are vertical angles?

Back

Vertical angles are the angles opposite each other when two lines intersect. They are always equal in measure.

Front

Back

To find x, first isolate m: 4m ≥ 40 - 10, which simplifies to 4m ≥ 30. Then divide both sides by 4: m ≥ 7.5.

Front

Back

To solve for x, multiply both sides by 2: x + 10 = 32. Then subtract 10 from both sides: x = 22.

Front

Back

To solve for x, divide both sides by -8. Remember to reverse the inequality sign: x > -6.

Front

What is the definition of a linear equation?

Back

Front

What is the slope of a line?

Back

The slope of a line is a measure of its steepness, usually represented by the letter m. It is calculated as the change in y divided by the change in x (rise over run).