Foundations of Algebra Test 12-10-24 Single

Front

What is the slope of a line?

Back

The slope of a line is a measure of its steepness, typically represented as 'm' in the equation of a line (y = mx + b). It is calculated as the change in y divided by the change in x (rise/run).

Front

How do you find the outputs for a function f(x)?

Back

To find the outputs for a function f(x), substitute the given x-values into the function and calculate the corresponding y-values.

Front

What is a sequence in mathematics?

Back

A sequence is an ordered list of numbers that follow a specific pattern or rule.

Front

How do you identify the pattern in a sequence?

Back

To identify the pattern in a sequence, look for a consistent operation (addition, subtraction, multiplication, etc.) applied to the terms.

Front

What does it mean to subtract a number in a sequence?

Back

Subtracting a number in a sequence means to decrease each term by that number to find the next term.

Front

How do you find the next terms in a sequence?

Back

To find the next terms in a sequence, apply the identified pattern to the last known term.

Front

What are coordinates in the coordinate plane?

Back

Coordinates are pairs of numbers (x, y) that define a point's position on the coordinate plane.

Front

How do you plot a point on the coordinate plane?

Back

To plot a point on the coordinate plane, start at the origin (0,0), move along the x-axis to the x-coordinate, and then move vertically to the y-coordinate.

Front

What is the difference between (8,7) and (7,8) in coordinates?

Back

(8,7) means move 8 units right and 7 units up; (7,8) means move 7 units right and 8 units up. The order of coordinates matters.

Front

What is a linear function?

Back

A linear function is a function that graphs to a straight line, typically in the form f(x) = mx + b.