Algebra 1 Inequalities Quiz

What is the definition of an inequality?

What are inequality symbols?

What are the key terms in inequalities?

What are the facts or characteristics of inequalities?

How do you write inequalities?

What is the solution of inequalities?

What does graphing inequalities show?

What is the addition property of inequalities?

What are equivalent inequalities?

What is the subtraction property of inequalities?

What are real world problems in the context of inequalities?

What is the multiplication or division property of inequality?

What is involved in solving multi-step inequalities?

How do you solve multi-step inequalities on both sides?

What are inequalities with special solutions?

What are word problems?

What is the solution for the inequality y/-6 + 7 < ?

Give an example of a non-inequality.

What is the solution for the inequality 2v - 4 ≥ 8?

What is the solution for the inequality 95 + 91 + 77 + 89 + x/5 ≥ 90?

Inequalities Overview

An inequality is a mathematical sentence comparing expressions.
Key inequality symbols include: ≥, ≤.
Inequalities describe relationships such as greater than (>) and less than (<).

Characteristics of Inequalities

They describe a range of numbers rather than a specific solution.
Multiple values can satisfy the same inequality, known as the solution set.

Writing and Solving Inequalities

Example of writing an inequality: x - 7 ≤ 15 implies x is less than or equal to 22.
Solutions to inequalities are the values that make the inequality true, sometimes resulting in more than one solution.

Graphing and Properties of Inequalities

Graphing inequalities involves displaying the solution set on a number line.
The addition property states that adding the same number to both sides maintains equivalence.
Equivalent inequalities are those that yield the same solution.

Multiplication and Division Properties

When multiplying or dividing both sides of an inequality by a positive number, the inequality remains true.
The subtraction property maintains equivalence when subtracting the same number from both sides.

Special Cases in Inequalities

Some inequalities have no solutions or infinite solutions based on their configuration.
Common word problems involve real-world scenarios that can be translated into mathematical inequalities.

Example Inequalities

Solution for y / -6 + 7 < is y > -12.
In the inequality 2v - 4 ≥ 8, the solution is v ≥ 6.
For the equation (95 + 91 + 77 + 89 + x) / 5 ≥ 90, x must be ≥ 98.

Non-Inequalities

An equation like x = 7 does not qualify as an inequality since it presents a definitive value rather than a comparative relationship.

Test your understanding of inequalities in Algebra 1 with this quiz. Explore definitions, symbols, and key terms related to inequalities. Perfect for reinforcing your knowledge through flashcards.