Unit Test Answers

Factor –7x3 + 21x2 + 3x – 9 by grouping. What is the resulting expression?

A square has a perimeter of 12x + 52 units. Which expression represents the side length of the square in units?

Factor x3 – 7x2 – 5x + 35 by grouping. What is the resulting expression?

Which expression is equivalent to ?

What is the quotient?x + 1)3x2 − 2x + 7

Which binomial is a factor of 9x2 – 64?

Which terms could have a greatest common factor of 5m2n2? Select two options.m5n55m4n310m4n15m2n224m3n4

Which monomials are perfect squares? Select three options.6x29x817x925x1236x16

Tomas learned that the product of the polynomials (a + b)(a2 – ab + b2) was a special pattern that would result in a sum of cubes, a3 + b3. His teacher put four products on the board and asked the class to identify which product would result in a sum of cubes if a = 2x and b = y.

The equation shows the relationship between a planet’s orbital period, T, and the planet’s mean distance from the sun, A, in astronomical units, AU. If the orbital period of planet Y is twice the orbital period of planet X, by what factor is the mean distance increased?

Which expression is equivalent to ?

Zohar is using scissors to cut a rectangle with a length of 5x – 2 and a width of 3x + 1 out of a larger piece of paper. Which expression can be used to find the perimeter of the rectangle and what is the perimeter if x = 4?

Which expression is equivalent to ?

The formula for the area of a parallelogram is A = bh, where b is the base and h is the height.

Candy draws a square design with a side length of x inches for the window at the pet shop. She takes the design to the printer and asks for a sign that has an area of 16x2 – 40x + 25 square inches.

Which model represents the factors of x2 + 9x + 8?

The revenue, in dollars, of a company that produces jeans can be modeled by 2x2+17x−175. The cost, in dollars, of producing the jeans can be modeled by 2x2−3x−125. The number of pairs of jeans that have been sold is represented by x. If the profit is the difference between the revenue and the cost, which expression can be used to find profit and what is that profit when 75 pairs of jeans are sold?

What is the quotient?

How could Brent use a rectangle to model the factors of x2 – 7x + 6?

Which is the completely factored form of 4x2 + 28x + 49?

Which expression is equivalent to ?

The revenue, in dollars, of a company that makes toy cars can be modeled by the polynomial 3x2 + 4x – 60. The cost, in dollars, of producing the toy cars can be modeled by 3x2 – x + 200. The number of toy cars sold is represented by x.

What is the greatest common factor of 8x and 40y?

Which expression is equivalent to ?

Manuel's division is shown.