Practice 12-19-24

Front

What is the slope of the line represented by the equation 12x - 6y = 30?

Back

The slope is 2.

Front

Solve the inequality k - 13 > -51 and graph the solution.

Back

The solution is k > -38, which is represented on the graph as all values greater than -38.

Front

What are the domains for the given graph?

Back

The domains are -6, 0, 2, 3, 4.

Front

How do you find the zero(s) of a function?

Back

To find the zero(s) of a function, set the function equal to zero and solve for the variable. For example, if f(x) = 0, solve for x.

Front

Evaluate the expression |10p - 7q| when p = 9 and q = 2.

Back

The result is 76.

Front

What is the definition of a slope in mathematics?

Back

The slope is a measure of the steepness of a line, calculated as the rise over run between two points on the line.

Front

What does it mean for a function to have a zero?

Back

A zero of a function is a value of x that makes the function equal to zero.

Front

How do you graph an inequality like k - 13 > -51?

Back

To graph the inequality, first solve for k, then plot the boundary line and shade the region that satisfies the inequality.

Front

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

Back

The formula is slope = (y2 - y1) / (x2 - x1).

Front

What is the absolute value of a number?

Back

The absolute value of a number is its distance from zero on the number line, regardless of direction.