Unit 4 Test Review

Front

What is a linear equation?

Back

A linear equation is an equation that makes a straight line when graphed. It can be written in the form y = mx + b, where m is the slope and b is the y-intercept.

Front

What does the slope of a line represent?

Back

The slope of a line represents the rate of change of y with respect to x. It indicates how much y changes for a unit change in x.

Front

What is the y-intercept?

Back

The y-intercept is the point where the line crosses the y-axis. It is the value of y when x is 0.

Front

How do you determine if a relationship is a function?

Back

A relationship is a function if each input (x-value) has exactly one output (y-value). This means no x-value can be paired with more than one y-value.

Front

What is the formula to find the total cost based on the price per item?

Back

The total cost can be calculated using the formula c = p * n, where c is the total cost, p is the price per item, and n is the number of items.

Front

If Cecily's savings account starts with $500 and she adds $40 each month, what is the equation for her balance after x months?

Back

The equation is y = 40x + 500, where y is the balance and x is the number of months.

Front

What is the significance of ordered pairs in a function?

Back

Ordered pairs (x, y) represent the relationship between the input x and the output y. In a function, each x must correspond to one unique y.

Front

How can you eliminate options when determining the equation of a graph?

Back

You can eliminate options by checking if they fit the characteristics of the graph, such as slope and y-intercept, without performing calculations.

Front

What is the cost per piece if Lola spent $3.75 for 25 pieces of gum?

Back

The cost per piece is calculated as c = 3.75 / 25 = 0.15, so c = 0.15g, where g is the number of pieces.

Front

What does it mean for a relationship to remain functional when adding ordered pairs?

Back

It means that the new ordered pairs must not repeat any x-values already present in the function, ensuring each x-value has a unique y-value.