2024 Fall Final Exam Review: Composite

Front

What is the equation to determine the total cost, c, for installing a car part for h hours if the part costs $96.00 and the mechanic charges $72.00 per hour?

Back

c = 72h + 96

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

Front

What does the slope of a linear function represent?

Back

The slope represents the rate of change of the function; in the equation y = mx + b, m is the slope.

Tags

CCSS.8.EE.B.5

Front

What is the y-intercept of the function y = -5x - 2?

Back

The y-intercept is -2, which is the value of y when x = 0.

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

Front

How do you find the value of a function at a specific point, such as f(2) for f(x) = \frac{1}{2}x + 3?

Back

Substitute x = 2 into the function: f(2) = \frac{1}{2}(2) + 3 = 4.

Tags

CCSS.HSF.IF.A.2

Front

What is exponential growth?

Back

Exponential growth occurs when the growth rate of a value is proportional to its current value, leading to growth that accelerates over time.

Tags

CCSS.HSF-LE.A.1A

Front

What is the formula for calculating the balance remaining on a gift card after purchasing drinks?

Back

b = 40 - 2d, where b is the balance, 40 is the initial amount, and d is the number of drinks purchased.

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

Front

What does it mean for a function to be linear?

Back

A linear function is a function that graphs to a straight line, characterized by a constant rate of change.

Tags

CCSS.8.F.A.3

Front

How can you determine if a set of data exhibits exponential growth?

Back

If the ratio of consecutive values remains constant or increases, the data exhibits exponential growth.

Tags

CCSS.HSF-LE.A.1A

Front

What is the significance of the point (0, -2) in the graph of the function y = -5x - 2?

Back

It is the y-intercept, indicating where the graph crosses the y-axis.

Tags

CCSS.HSF-IF.C.7A

Front

What is the general form of a linear equation?

Back

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

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3