Algebra 1 Midterm

Front

What is an arithmetic sequence?

Back

An arithmetic sequence is a sequence of numbers in which the difference between consecutive terms is constant. For example, 2, 4, 6, 8 is an arithmetic sequence with a common difference of 2.

Front

Identify the common difference in the arithmetic sequence: 5, 10, 15, 20.

Back

The common difference is 5.

Front

What is a function?

Back

A function is a relation that assigns exactly one output for each input. For example, in the function f(x) = 2x + 3, each value of x corresponds to one value of f(x).

Front

How do you determine if a relation is a function?

Back

A relation is a function if every input (x-value) has exactly one output (y-value).

Front

What does the notation f(0) represent in a function?

Back

f(0) represents the output of the function when the input is 0.

Front

Calculate f(0) for the function f(x) = 2x + 3.

Back

f(0) = 2(0) + 3 = 3.

Front

What is an inequality?

Back

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

Front

Solve the inequality: 6x + 2 < 10 + 4x.

Back

x < 4.

Front

What does the graph of a ≥ 11 look like?

Back

The graph includes all points on and above the horizontal line at y = 11.

Front

What is the difference between 'greater than' and 'greater than or equal to'?

Back

'Greater than' (>) means the value is strictly above, while 'greater than or equal to' (≥) includes the value itself.