USA #2 Review

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SY 24-25 Edition

​USA #2 Review!

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Multiple Choice

Select the solution to the compound inequality:

$$7>x+4\ge5$$

Hotspot

Match the values in the expression $$\frac{a}{b}$$ that would make the expression $$\left(\frac{4}{7}\right)^{-3}$$ equivalent.

Multiple Choice

Which expression is equivalent to $$\sqrt[]{12}+\sqrt[]{147}$$ ?

• $$5\sqrt[]{3}$$

• $$9\sqrt[]{3}$$

• $$11\sqrt[]{3}$$

• $$13\sqrt[]{3}$$

Hotspot

Match the situation with the inequality that represents it...

Multiple Select

Choose all of the expressions that are equivalent to $$\left(9\right)^{\frac{2}{5}}$$

• $$\left(\sqrt[]{9}\right)^{\frac{1}{5}}$$

• $$\left(3^2\right)^{\frac{2}{5}}$$

• $$\left(3^2\right)^{\frac{1}{3}}$$

• $$\left(\sqrt[]{3^2}\right)^{\frac{1}{5}}$$

• $$\left(\sqrt[5]{3^2}\right)^2$$

Multiple Choice

Francis travels at 𝟏𝟑 miles per hour when biking and at 𝟔 miles per hour when jogging, on average. Francis is planning a trip where he wants to travel at least 𝟐𝟓 miles, and can spend at most 𝟑 hours. If 𝒃 represents the number of hours spent biking, and 𝒋 represents the number of hours spent jogging, which system of inequalities can be used to find the possible number of hours Francis might spend biking and jogging?

Multiple Choice

Simplify the expression shown:

$$\left(\frac{5x^3yz^{-2}}{2x^{-1}yz}\right)^{-3}$$

Multiple Choice

A dairy factory deals with the production of only whey protein and cheese. The cost of each pound of whey protein is $𝟖 and each pound of cheese is $𝟐, and the factory can invest a maximum of $𝟒, 𝟎𝟎𝟎 in its production. Which graph correctly represents the number of pounds of whey protein and the number of pounds of cheese produced, given the inequality 𝟖𝒙 + 𝟐𝒚 ≤ 𝟒𝟎𝟎𝟎?

Multiple Select

Select the TWO linear inequalities whose solution is shown on the graph.

• $$y\ge2x-3$$

• $$y<\frac{2}{3}x-3$$

• $$y<\frac{3}{2}x+1$$

• $$y<\frac{2}{3}x+1$$

• $$y\le4x-3$$