Algebra 2 - Semester 1 Review

Front

Identify the domain of the relation: (-6,14), (0,32), (2,38), (4,44)

Back

The domain is the set of all first elements in the ordered pairs: -6, 0, 2, 4.

Front

Solve for x: 3(-x+6) - 8 = -2(-2x-3) - 3

Back

x = 1.

Front

What is the range of the graph that includes all real numbers?

Back

The range is all real numbers.

Front

Write the equation in point-slope form of the line that passes through (4, -7) with slope m = -1/4.

Back

y + 7 = -1/4(x - 4).

Front

Solve for x: -5x + 2 = 10x - 28

Back

x = 2.

Front

Define the domain of a function.

Back

The domain of a function is the set of all possible input values (x-values) for which the function is defined.

Front

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

Back

The point-slope form is given by y - y1 = m(x - x1), where (x1, y1) is a point on the line and m is the slope.

Front

How do you find the slope of a line given two points (x1, y1) and (x2, y2)?

Back

The slope m is calculated as m = (y2 - y1) / (x2 - x1).

Front

What does it mean for a function to be one-to-one?

Back

A function is one-to-one if it assigns a unique output for every unique input, meaning no two different inputs produce the same output.

Front

What is the difference between domain and range?

Back

The domain is the set of all possible input values, while the range is the set of all possible output values of a function.