Factoring Polynomials: Sum and Difference of Cubes — Cumulative exam Answers

Which number in the monomial 125x18y3z25 needs to be changed to make it a perfect cube?

Solve the radical equation. Which solution is extraneous?

Which linear function represents the line given by the point-slope equation y – 2 = 4(x – 3)?

The table represents a function.

The crew of a garbage truck takes 5 hours to empty all the bins in one neighborhood on pickup day. The city assigned a second garbage truck to this neighborhood. During their training, it took the crew from the second truck 8 hours to empty all the bins.

What is the product of , , and , where x0 and y0?

Which is the graph of y – 3 = (x + 6)?

Two solutions of different concentrations of acid are mixed creating 40 mL of a solution that is 32% acid. One-quarter of the solution is made up of a 20% acid solution. The remaining three-quarters is made up of a solution of unknown concentration, c.Which equation can be used to determine c, the unknown concentration?

On a coordinate plane, a curved line with minimum values of (negative 2, 0) and (2.4, negative 51) and a maximum value of (negative 0.75, 6), crosses the x-axis at (negative 2, 0), (0, 0), and (3.5, 0), and crosses the y-axis at (0, 0).

The inverse of the function f(x) = is shown. h(x) = 2x-What is the missing value?

Which expression is equivalent to 7a2b + 10a2b2 + 14a2b3?

Which rational expression has a value of 1 when x = –1?

What is the solution to the equation ?

Which shows all the values of x that make the rational expression undefined?

On a coordinate plane, a curved line, labeled f of x, with a minimum value of (negative 1.9, negative 5.7) and a maximum value of (0, 2) crosses the x-axis at (negative 2.5, 0), (negative 0.75, 0), and (0.75, 0), and crosses the y-axis at (0, 2).

Which polynomial is prime?

What is the quotient of ? Assume a3 and a–3.

Which term can be added to the list so that the greatest common factor of the three terms is 12h3?36h3, 12h6, __________