Algebra Midterm Practice Test

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

What does the symbol '<' represent?

Back

The symbol '<' means 'less than' in an inequality.

Front

How do you graph the inequality 3x - 2y < 10?

Back

To graph the inequality, first graph the line 3x - 2y = 10 as a dashed line (since it's a strict inequality). Then shade the region below the line.

Front

What is the product of √28 and √3?

Back

The product of √28 and √3 is √(28*3) = √84, which can be simplified to 2√21.

Front

What is the simplified form of √28?

Back

The simplified form of √28 is 2√7.

Front

What is an arithmetic sequence?

Back

An arithmetic sequence is a sequence of numbers in which the difference between consecutive terms is constant.

Front

Is the sequence 3, 5, 7 an arithmetic sequence?

Back

Yes, it is an arithmetic sequence with a common difference of 2.

Front

What is the common difference in the arithmetic sequence 26, 22, 18, 14?

Back

The common difference is -4.

Front

How do you determine if a sequence is arithmetic?

Back

To determine if a sequence is arithmetic, check if the difference between consecutive terms is the same.

Front

What is the formula for the nth term of an arithmetic sequence?

Back

The nth term of an arithmetic sequence can be found using the formula: a_n = a_1 + (n-1)d, where a_1 is the first term and d is the common difference.