8MA Unit 2B Review

Front

What is the equation of a line with a slope of 5 and a y-intercept of 100?

Back

y = 5x + 100

Front

Define the domain and range of a function.

Back

Domain: Set of all possible input values (x). Range: Set of all possible output values (y).

Front

Create an equation to model the total cost of buying shirts (s) at $15 each and hoodies (h) at $20 each if the total spent is $150.

Back

15s + 20h = 150

Front

What does the slope of a line represent in a real-world context?

Back

The slope represents the rate of change; for example, $3 per 1 balloon means for every balloon bought, $3 is spent.

Front

Write an equation to model the total cost, y, for ordering x candles with a flat rate shipping of $7.50 and a base cost of $35 for 4 candles.

Back

y - 35 = 7.5(x - 4)

Front

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

Back

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

Front

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

Back

Slope (m) = (y2 - y1) / (x2 - x1).

Front

What is the meaning of the y-intercept in a linear equation?

Back

The y-intercept is the value of y when x = 0; it represents the starting point of the line on the y-axis.

Front

If the domain of a function is { x | 0 < x < 28 }, what does this mean?

Back

It means x can take any value between 0 and 28, not including 0 and 28.

Front

What is the range of a function if the output values are limited to { y | 0 < y < 9 }?

Back

The range indicates that y can take any value between 0 and 9, not including 0 and 9.