Homework 8/26/25 - Pre-AP

Front

What is the range of the function f(x) = 20x + 4 when x represents the number of pairs of weight plates added?

Back

The range is {4, 24, 44, 64, 84, 104, 124}.

Front

What values of a and b will make the equation ax + 9 = 3(2x - b) have infinite solutions?

Back

a = 6 and b = -3.

Front

What is a function?

Back

A relation where each input (x) has exactly one output (y).

Front

How do you determine if a relation is a function?

Back

Use the vertical line test: if a vertical line intersects the graph at more than one point, it is not a function.

Front

What is the perimeter of a rectangle?

Back

The perimeter is the sum of all sides, P = 2(length + width).

Front

If a construction company has two plots of land with the same perimeter, what can be inferred about their dimensions?

Back

They can have different dimensions but the total length around each plot is the same.

Front

What does the function g(x) = 6(2x + 7) represent in the context of Sally's flower shop?

Back

It represents the total number of roses sold based on the variable x.

Front

How do you calculate g(20) for the function g(x) = 6(2x + 7)?

Back

g(20) = 6(2(20) + 7) = 282.

Front

What is the significance of infinite solutions in an equation?

Back

It means that there are countless pairs (x, y) that satisfy the equation.

Front

What is a linear equation?

Back

An equation that graphs to a straight line, typically in the form y = mx + b.