Unit Test — Unit test Answers

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

Which shows one way to determine the factors of 4x3 + x2 – 8x – 2 by grouping?

Adi used algebra tiles to represent the product .

Which algebraic expression is a polynomial with a degree of 4?

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

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

Which is true about the polynomial –3xy2 + 5x2y?

Simplify the expression –2(p + 4)2 – 3 + 5p. What is the simplified expression in standard form?

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?

What is the factored form of the polynomial?x2 – 16x + 48

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.

Which algebraic expression is a polynomial with a degree of 2?

The diagram represents a difference of squares.

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

What is the sum of the polynomials?(7x3 – 4x2) + (2x3 – 4x2)

What is the difference of the polynomials?(8r6s3 – 9r5s4 + 3r4s5) – (2r4s5 – 5r3s6 – 4r5s4)

A square with an area of A2 is enlarged to a square with an area of 25A2. How was the side of the smaller square changed?

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 greatest common factor of 8x and 40y?

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