Review First Semester Exam Part I

Front

What is a linear equation?

Back

A linear equation is an equation that makes a straight line when graphed. It can be written in the form y = mx + b, where m is the slope and b is the y-intercept.

Front

What does the slope of a line represent?

Back

The slope of a line represents the rate of change of y with respect to x. It indicates how much y changes for a unit change in x.

Front

How do you find the slope between two points (x1, y1) and (x2, y2)?

Back

The slope (m) is calculated using the formula m = (y2 - y1) / (x2 - x1).

Front

What is the y-intercept of a linear equation?

Back

The y-intercept is the point where the line crosses the y-axis, represented by the value of b in the equation y = mx + b.

Front

What is 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 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 two expressions to be equivalent?

Back

Two expressions are equivalent if they have the same value for all values of the variables involved.

Front

How do you expand the expression (n − 4)(2n + 7)?

Back

To expand, use the distributive property: (n − 4)(2n + 7) = n(2n + 7) - 4(2n + 7) = 2n² + 7n - 8n - 28 = 2n² - n - 28.

Front

What is a function?

Back

A function is a relation that assigns exactly one output (y) for each input (x).

Front

What is the significance of integer coordinates in graphing?

Back

Integer coordinates indicate that both x and y values are whole numbers, which can simplify calculations and interpretations of the graph.