Quiz about EOC Review Warm-up #2: Exponents and Polynomials

Question 1

Which expression is equivalent to $$\frac{60m^{-2}n^6}{5m^{-4}n^{-2}}$$ for all values of m and n where the expression is defined?

Accepted Answer

$$12m^2n^8$$

Answer

$$\frac{12n^5}{m^6}$$

Answer

$$\frac{12n^3}{m^2}$$

Answer

$$55m^2n^8$$

Question 2

Which of the following is NOT equivalent to $$x^{18}$$ ?

Accepted Answer

$$\left(x^9\right)^9$$

Answer

$$\frac{\left(x^8\right)\left(x^{16}\right)^{\frac{1}{2}}}{x^{-2}}$$

Answer

$$\frac{x^{-6}}{x^{-24}}$$

Answer

$$\left(x^3y\right)^3\ \cdot\ x^9y^{-3}$$

Question 3

Trinity collects rainwater in a cylinder rain barrel. The area of the base of the cylinder is $$2x^2-7x+3$$ square feet and the height of the cylinder is $$x+5$$ feet. The volume of the rain barrel can be found using the equation shown below. Which of the following represents the volume of the cylinder?

$$V=\left(2x^2-7x+3\right)\left(x+5\right)$$

Accepted Answer

$$2x^3+3x^2-32x+15\ \ ft^3$$

Answer

$$2x^3+17x^2+38x+15\ \ ft^3$$

Answer

$$2x^3-7x^2+15\ \ ft^3$$

Answer

$$2x^3+4x^2-25x+8\ \ ft^3$$

Question 4

Carlos is digging a pond in his backyard as shown. The area of the rectangular backyard is $$6x^2+14x-12$$ square yards. The circular pond will cover an area of $$3x^2-4x+5$$ square yards. Which expression represents the area of the gray region, the area of the land remaining in the backyard?

Accepted Answer

$$3x^2+18x-17\ \ \ yd^2$$

Answer

$$9x^2+10x-7\ \ \ yd^2$$

Answer

$$3x^2+10x-17\ \ \ yd^2$$

Answer

$$3x^2+10x+7\ \ \ yd^2$$

Question 5

Which of the following is equivalent to the expression below?

$$\frac{12x^{-3}y^7}{2x^2}\ \ \cdot\ \ \frac{y^{-3}}{x}$$

Accepted Answer

$$\frac{6y^4}{x^6}$$

Answer

$$\frac{10x^4}{y^6}$$

Answer

$$\frac{6y^4}{x^5}$$

Answer

$$\frac{6}{x^6y^4}$$

Question 6

Mrs. Riley simplified the expression as shown. Which of the following is the missing coefficient for x?

Accepted Answer

7

Answer

3

Answer

6.6

Answer

1

Question 7

Two students multiplied binomials as shown. Which student(s) multiplied correctly?

Accepted Answer

Both Conrad and Shira

Answer

Conrad only

Answer

Shira only

Answer

Neither Conrad nor Shira

Question 8

The lid of a cooler is shaped like a rectangle with a width of $$4x-7$$ inches and an area of $$16x^2-49$$ square inches. Which of the following expressions could represent the length of the cooler lid?

Accepted Answer

$$4x+7$$ inches

Answer

$$4x-7$$ inches

Answer

$$4x-49$$ inches

Answer

$$8x+7$$ inches

Question 9

Which of the following expressions represents the quotient of the expression shown below?

$$\frac{2x^2+11x-6}{x+6}$$

Accepted Answer

$$2x-1$$

Answer

$$2x+17$$

Answer

$$x-1$$

Answer

$$2x-6$$

EOC Review Warm-up #2: Exponents and Polynomials

10 questions

Mrs. Riley simplified the expression as shown. Which of the following is the missing coefficient for x?

Two students multiplied binomials as shown. Which student(s) multiplied correctly?

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