Topic 3 Review

Front

What is the effect of moving a linear equation up by a certain number of units?

Back

To move a linear equation up by 'k' units, add 'k' to the y-intercept of the equation. For example, if the original equation is y = mx + b, the new equation after moving up 'k' units is y = mx + (b + k).

Front

How do you determine the total cost if you know the cost per item and the number of items?

Back

Total Cost = Cost per Item × Number of Items. For example, if each item costs $250 and 35 items are bought, the total cost is 250 × 35 = $8750.

Front

What does a positive association in a graph indicate?

Back

A positive association indicates that as one variable increases, the other variable also increases. This is typically represented by an upward sloping line on a graph.

Front

How do you find the domain of a function?

Back

The domain of a function is the set of all possible input values (x-values) for which the function is defined. For example, if a function is defined for x = {-4, -1, 0, 2, 7}, then the domain is {-4, -1, 0, 2, 7}.

Front

What is a recursive rule in a sequence?

Back

A recursive rule defines each term of a sequence based on the previous term(s). For example, in the sequence 15, 8, 1, the recursive rule is a_1=15, a_n=a_{n-1}-7.

Front

What is the slope-intercept form of a linear equation?

Back

The slope-intercept form is given by y = mx + b, where 'm' is the slope and 'b' is the y-intercept.

Front

How do you calculate the slope between two points (x1, y1) and (x2, y2)?

Back

The slope (m) is calculated using the formula m = (y2 - y1) / (x2 - x1).

Front

What is the difference between independent and dependent variables?

Back

The independent variable is the one that is manipulated or changed, while the dependent variable is the one that is measured or affected.

Front

What is a linear equation?

Back

A linear equation is an equation that forms a straight line when graphed. It can be written in the form y = mx + b.

Front

What does it mean for a function to be defined?

Back

A function is defined for a set of inputs (domain) and produces outputs (range). If an input is not in the domain, the function is not defined for that input.