Quiz about 11/18 ~ Test 2 Review (USA02)

Question 1

Write the two linear inequalities whose solution is shown on the graph.

Accepted Answer

$$y\ge-2x+2$$

Accepted Answer

$$y>\frac{5}{2}x-1$$

Answer

$$y>-2x+2$$

Answer

$$y\le\frac{5}{2}x-1$$

Answer

$$y>2x+2$$

Question 2

Richard can buy a KitKat bar for $4, and a Crunch bar for $3. He wants to buy at least 8 candy bars in total but only has $25 to spend. If k and c represent the number of KitKat bars and Crunch bars that Richard will buy, respectively, which of the following systems of inequalities can be used to determine exactly how many of each he could buy?

Accepted Answer

$$k+c\ge8$$

$$4k+3c\le25$$

Answer

$$k+c>8$$

$$4k+3c\le25$$

Answer

$$k+c\ge8$$

$$3k+4c\le25$$

Answer

$$k+c\ge8$$

$$3k+4c\ge25$$

Question 3

Choose ALL expressions that are equivalent to $$\sqrt[4]{16^9}$$

Accepted Answer

$$\left(4^2\right)^{\frac{9}{4}}$$

Accepted Answer

$$\left(16^{\frac{1}{4}}\right)^9$$

Accepted Answer

$$\sqrt[4]{16^7}\cdot\sqrt[]{16}$$

Accepted Answer

$$\frac{1}{16^{-\frac{9}{4}}}$$

Answer

$$\sqrt[9]{2^4}$$

Question 4

Select the expression that is equivalent to $$6^{\left(3x+4\right)}$$

Accepted Answer

$$(1296)216^x$$

Answer

$$216^x+1296$$

Answer

$$216(10^x)$$

Answer

$$216x+1296$$

Question 5

Match the values of the variables in the expression $$\frac{a}{b}$$ that would make the expression $$\left(\frac{2}{7}\right)^{-3}$$ equivalent

Accepted Answer

a = 343, b = 8

Answer

a = 64, b = 27

Answer

a = 128, b = 3

Answer

a = 81, b = 9

Question 6

Write an inequality that represents the situation:

A) A rectangular yard with length x and width y. The perimeter is at least 400 feet.

Accepted Answer

$$2x+2y\ge400$$

Answer

$$4x\le400$$

Answer

$$2x-4y<400$$

Answer

$$4x-2y<400$$

Question 7

Write an inequality that represents the situation:

C) A square arena with side lengths $$x$$ . The perimeter is no more than 400 feet.

Accepted Answer

$$4x\le400$$

Answer

$$4x\ge400$$

Answer

$$2x-4y>400$$

Answer

$$4x-2y<400$$

Question 8

Simplify the following radical expression: $$\sqrt{9}6+4\sqrt{216}$$

Accepted Answer

$$28\sqrt{6}$$

Answer

$$10\sqrt{6}$$

Answer

$$5\sqrt{312}$$

Answer

$$4\sqrt{312}$$

Question 9

Divide the following polynomial: $$(84x^5-6x^4+36x)\div(12x^2)$$ No Negative power!

Accepted Answer

$$7x^3-\frac{1}{2}x^2+\frac{3}{x}$$

Answer

$$7x^3-\frac{1}{2}x^2+3x$$

Answer

$$7x^3-0.5x^2+\frac{2}{x}$$

Answer

$$7x^3-0.5x+2$$

Question 10

In which step did Ryan make his first error in simplifying the expression $$\left(\frac{1}{4}m^5-8+3m\right)-\left(\frac{2}{3}m^5+\frac{3}{2}m-6\right)?$$

Accepted Answer

Step 3

Answer

Step 1

Answer

Step 2

Answer

Step 4

Question 11

Multiply the following binomials

$$\left(3x-\frac{3}{5}\right)\left(\frac{1}{2}x+4\right)$$

Hint ~ Use the AREA Model.

Accepted Answer

$$\frac{3}{2}x^2+\frac{117}{10}x-\frac{12}{5}$$

Answer

$$\frac{3}{2}x^2+\frac{123}{10}x-\frac{12}{5}$$

Answer

$$\frac{3}{2}x^2-\frac{12}{5}$$

Answer

$$\frac{3}{2}x^2-\frac{117}{10}x+\frac{12}{5}$$

Question 12

Find the quotient of $$\left(-3+8.4x^3+6x^2\right)\div\left(-0.4x\right)$$

Accepted Answer

$$\frac{15}{2x}-21x^2+15x$$

Answer

$$-\frac{15}{2x}+21x^2+15x$$

Answer

$$15x-21x^2+15x$$

Answer

$$\frac{15}{2}x+21x^4-15x^3$$

Question 13

Mr. Baker will throw a pizza party for one of his classes. He will buy a certain number of cheese pizzas and a certain number of veggie pizzas. Cheese pizzas cost $9 each and veggie pizzas cost $12 each. Mr. Baker has $84 to spend. Which graph correctly represents the number of cheese and veggie pizzas Mr. Baker can buy, given the inequality $$9x+12y\le84$$ ?

Accepted Answer

Create a free account and access millions of resources

Similar Resources on Wayground

Popular Resources on Wayground

Discover more resources for Mathematics