Algebra 1 Review #3

Front

What is the value of f(-8) if f(x) = 2x + 8?

Back

f(-8) = 2(-8) + 8 = -16 + 8 = -8.

Front

What is the equation of a line with a slope of 1 and a y-intercept of 0?

Back

y = 1x + 0 or simply y = x.

Front

What is the slope of a line that is horizontal?

Back

The slope of a horizontal line is 0.

Front

What is the range of the relation defined by the set of points {(1, -4), (2, 0), (3, 2), (4, 4)}?

Back

The range is {-4, 0, 2, 4}.

Front

What is the solution to the system of equations: y = 2x + 1 and y = -x + 4?

Back

The solution is (1, 3).

Front

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

Back

The slope represents the rate of change between the two variables.

Front

What is the formula for finding the slope between two points (x1, y1) and (x2, y2)?

Back

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

Front

What is the definition of a function?

Back

A function is a relation where each input has exactly one output.

Front

What is the y-intercept of the line represented by the equation y = 3x - 5?

Back

The y-intercept is -5.

Front

How do you determine if a relation is a function from a set of ordered pairs?

Back

A relation is a function if no two ordered pairs have the same first element.