Rational Equations — Cumulative exam Answers

What are the coefficients for the binomial expansion of (a + b)3?

If f(–5) = 0, what are all the factors of the function ? Use the Remainder Theorem.

Tyna simplified the expression to . What was Tyna’s mistake?

The graph shows the distance in miles of a runner over x hours. What is the average rate of speed over the interval [9, 11]?

The side length, s, of a cube is 3x + 2y. If V = s3, what is the volume of the cube?

Which expression is equivalent to (4 + 6i)2?

What are the values of x in the equation x2 – 6x + 9 = 25?

Which statement about the simplified binomial expansion of (a + b2)n, where n is a positive integer, is true?

What are the solutions of the equation (x + 2)2 + 12(x + 2) – 14 = 0? Use u substitution and the quadratic formula to solve.

Adam is using the equation (x)(x + 2) = 255 to find two consecutive odd integers with a product of 255. When Adam solves the problem using the zero product property, what do those solutions represent?

Which system of equations can be graphed to find the solution(s) to 4x2 = x2 + 7?

When graphed, which parabola opens downward?

Use the zero product property to find the solutions to the equation x2 – 9 = 16.

Lupe can ride her bike at a rate of 20 mph when there is no wind. On one particular day, she rode 2 miles against the wind and noticed that it took her the same amount of time as it did to ride 3 miles with the wind. How fast was the wind blowing that day?

Which is the graph of the function f(x) = x3 – x2 – 17x – 15?

Solve for in the equation .

Which expression has the same value as –y–4?

What is the ninth term in the binomial expansion of (x – 2y)13?

Subtract 15mn – 22m +2n from 14mn – 12m +7n.

What is the domain of the relation graphed below?