Algebra 1 SOL Review #2

Front

What is a function?

Back

A function is a relation where each input (x-value) has exactly one output (y-value).

Front

How can you determine if a graph represents 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 slope of a line?

Back

The slope of a line is a measure of its steepness, calculated as the change in y divided by the change in x (rise/run).

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.

Front

How do you find the slope from an equation in standard form?

Back

Convert the equation Ax + By = C to slope-intercept form (y = mx + b) to identify the slope (m).

Front

What does it mean to factor a polynomial?

Back

Factoring a polynomial means expressing it as a product of its factors, which are simpler polynomials.

Front

What is the factored form of 3x^2 + 8x - 16?

Back

(3x - 4)(x + 4) is the factored form of 3x^2 + 8x - 16.

Front

What is the range of a relation?

Back

The range of a relation is the set of all possible output values (y-values) that correspond to the input values.

Front

How do you find the range from a set of ordered pairs?

Back

Identify all the unique y-values from the ordered pairs to determine the range.

Front

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

Back

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