Algebra 1 A Semester 1 Review

Front

What is a function?

Back

A function is a relation that assigns exactly one output for each input. It can be tested using the Vertical Line Test: if a vertical line intersects the graph at more than one point, it is not a function.

Front

Calculate f(-3) for the function f(x) = -5x - 6.

Back

f(-3) = -5(-3) - 6 = 15 - 6 = 9.

Front

What is the slope of a line?

Back

The slope of a line is a measure of its steepness, calculated as the rise over run (change in y over change in x). For example, a slope of 3/4 means for every 4 units moved horizontally, the line rises 3 units.

Front

What does the inequality y > mx + b represent?

Back

This represents a region above the line defined by the equation y = mx + b, where m is the slope and b is the y-intercept.

Front

Identify the terms in the expression 15v - 13r.

Back

The terms are 15v and -13r.

Front

What are coefficients in algebra?

Back

Coefficients are the numerical factors in front of variables in an expression. In 15v, 15 is the coefficient of v.

Front

What is the difference between a variable and a constant?

Back

A variable is a symbol that represents an unknown value, while a constant is a fixed value that does not change.

Front

How do you determine if a relation is a function using the Vertical Line Test?

Back

If any vertical line drawn on the graph intersects the graph at more than one point, the relation is not a function.

Front

What is the y-intercept of the line represented by the equation y = 2x + 3?

Back

The y-intercept is the point where the line crosses the y-axis, which is (0, 3) in this case.

Front

What does it mean for a function to be linear?

Back

A linear function is a function that graphs to a straight line, which can be expressed in the form y = mx + b, where m is the slope and b is the y-intercept.