Algebra 1 Semester 1 Final Review Part 1

Front

What is a function?

Back

A function is a relation between a set of inputs and a set of possible outputs where each input is related to exactly one output.

Front

What is the range of a function?

Back

The range of a function is the set of all possible output values (y-values) that the function can produce.

Front

What does it mean for a function to have a range of all real numbers greater than or equal to -6?

Back

It means that the lowest output value of the function is -6, and it can take any value above -6.

Front

What is a linear function?

Back

A linear function is a function that can be graphically represented as a straight line, defined by the equation y = mx + b, where m is the slope and b is the y-intercept.

Front

How do you determine if a graph represents a function?

Back

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

Front

What does the inequality y ≤ -4x represent graphically?

Back

It represents the region on or below the line y = -4x, including the line itself.

Front

How do you find the equation of a linear function from a table of values?

Back

Identify two points from the table, calculate the slope (m), and use the point-slope form to find the equation.

Front

What is the solution to the equation 34x + 95 = 3(14x + 9)?

Back

The solution is x = 8.5.

Front

How do you solve the equation 4(0.5n - 3) = n - 0.25(12 - 8n)?

Back

Distribute and simplify both sides, then isolate n to find n = -9.

Front

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

Back

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