Algebra Unit 3 Review

Front

What is a function in mathematics?

Back

A function is a relation that assigns exactly one output for each input from a set of inputs.

Front

What does f(5) represent in a function?

Back

f(5) represents the output of the function when the input is 5.

Front

Evaluate f(5) for f(x)=4(2-x)^2.

Back

36

Front

What is the cost of a Wyatt if 7 Wyatt's and 5 Travis's cost $0.40 and 11 Wyatt's and 8 Travis's cost $0.63?

Back

$0.05

Front

What is a linear inequality?

Back

A linear inequality is an inequality that involves a linear function, typically expressed in the form ax + by < c, ax + by > c, etc.

Front

What does it mean to solve a system of equations?

Back

To solve a system of equations means to find the values of the variables that satisfy all equations in the system simultaneously.

Front

What is the solution to the system: 3x - y = 5 and y = (-4x - 5)/2?

Back

(.5, -3.5)

Front

What is the difference between a function and a relation?

Back

A function is a specific type of relation where each input is associated with exactly one output.

Front

How do you evaluate a function at a specific point?

Back

To evaluate a function at a specific point, substitute the input value into the function's equation and simplify.

Front

What is the graphical representation of a linear inequality?

Back

The graphical representation of a linear inequality is a shaded region on one side of the line, indicating all the solutions that satisfy the inequality.