9 Weeks Final Exam Study Guide Show Work to Receive Full Credit

Front

What is an inequality?

Back

An inequality is a mathematical statement that compares two expressions and shows that one is less than, greater than, less than or equal to, or greater than or equal to the other.

Front

How do you solve the inequality -2x + 3 < 7?

Back

To solve -2x + 3 < 7, subtract 3 from both sides to get -2x < 4, then divide by -2 (remember to flip the inequality sign) to find x > -2.

Front

What is the square root of a number?

Back

Front

What does it mean to simplify an expression?

Back

Simplifying an expression means to reduce it to its simplest form by combining like terms and performing operations.

Front

What is a common difference in an arithmetic sequence?

Back

The common difference is the difference between consecutive terms in an arithmetic sequence. It is constant throughout the sequence.

Front

How do you find the common difference in the sequence 29, 21, 13, 5?

Back

To find the common difference, subtract the first term from the second: 21 - 29 = -8. The common difference is d = -8.

Front

What is a geometric sequence?

Back

A geometric sequence is a sequence of numbers where each term after the first is found by multiplying the previous term by a fixed, non-zero number called the common ratio.

Front

What is the common ratio in the geometric sequence 512, 256, 128?

Back

The common ratio is found by dividing any term by the previous term. For example, 256 / 512 = 1/2.

Front

How do you find the next terms in a geometric sequence?

Back

To find the next terms, multiply the last known term by the common ratio.

Front

Back