Q: If the sales tax on a $$60 item is 1.80$$, what is the sales tax rate as a percentage?

$$\frac{1.80}{60} \times 100 = 3\%$$

Q: At a dinner party, $$\frac{2}{3} of $$the guests ordered a salad and $$\frac{1}{4} of $$those who ordered salad also ordered soup. What percentage of all diners at the party ordered both salad and soup? (Round to integer)

$$\frac{2}{3} \times \frac{1}{4} = \frac{2}{12} = \frac{1}{6} \approx 17\%$$

Q: Gordon purchased a television with an original price of $500 at a 40\% discount. What was the final sale price?

$$500 - (0.40 \times 500) = 500 - 200 = 300$$

Q: A number is divided by 7. The result is divided by 3, for a final result of 2. What was the original number?

$$x = 2 \times 3 \times 7 = 42$$

Q: Solve for $$q in$$ $$\frac{3}{5} = \frac{18}{q + 2}.$$

$$3(q + 2) = 5 \times 18 \implies 3q + 6 = 90 \implies 3q = 84 \implies q = 28$$

Question 1

If the sales tax on a $$60 item is 1.80$$, what is the sales tax rate as a percentage?

Accepted Answer

$$\frac{1.80}{60} 	imes 100 = 3\%$$

Question 2

At a dinner party, $$\frac{2}{3} of $$the guests ordered a salad and $$\frac{1}{4} of $$those who ordered salad also ordered soup. What percentage of all diners at the party ordered both salad and soup? (Round to integer)

Accepted Answer

$$\frac{2}{3} 	imes \frac{1}{4} = \frac{2}{12} = \frac{1}{6} \approx 17\%$$

Question 3

Gordon purchased a television with an original price of $500 at a 40\% discount. What was the final sale price?

Accepted Answer

$$500 - (0.40 	imes 500) = 500 - 200 = 300$$

Question 4

Dividing by $$\frac{2}{5}$$ gives the same result as multiplying by what number?

Accepted Answer

$$\frac{5}{2}$$

Question 5

Simplify $$\frac{120}{105} as $$much as possible:

Accepted Answer

$$\frac{120}{105} = \frac{24}{21} = \frac{8}{7}$$

Question 6

Factorize $$q 	imes p - c by$$ $$q$$:

Accepted Answer

$$q(p - \frac{c}{q})$$

Question 7

A number is divided by 7. The result is divided by 3, for a final result of 2. What was the original number?

Accepted Answer

$$x = 2 	imes 3 	imes 7 = 42$$

Question 8

Half a number plus 3 is 11. What is the number?

Accepted Answer

$$\frac{x}{2} + 3 = 11 \implies \frac{x}{2} = 8 \implies x = 16$$

Question 9

Solve for the positive value of $$x in$$ $$\frac{x^2$ - 5}{4} = 5.$$

Accepted Answer

$$x^2 - 5 = 20$$ \implies $$x^2 = 25$$ \implies x = 5$$

Question 10

Solve for $$q in$$ $$\frac{3}{5} = \frac{18}{q + 2}.$$

Accepted Answer

$$3(q + 2) = 5 	imes 18 \implies 3q + 6 = 90 \implies 3q = 84 \implies q = 28$$

Question 11

Given the line $$y = mx + b$$ shown in the graph ($$image_7$$), what is the value of $$b$$?

Accepted Answer

$$b = 18$$

Question 12

Given the line $$y = mx + b$$ shown in the graph ($$image_7$$), what is the value of $$m$$?

Accepted Answer

$$m = \frac{0 - 18}{6 - 0} = -3$$

Question 13

Given the line $$y = -3x + 18$$, what is the value of $$x$$ when $$y = 14$$?

Accepted Answer

$$14 = -3x + 18 \implies -3x = -4 \implies x = \frac{4}{3}$$

Question 14

Which of the following best describes the economic concept of 'making decisions at the margin'?

Accepted Answer

Evaluating the additional benefit and cost of a small change in an activity

Question 15

A government imposes a two-hour daily time limit on social media usage to reduce negative effects on teenagers. Which economic agent's goal is most directly reflected in this policy?

Accepted Answer

Government

Question 16

Which of the following is an example of an economic constraint faced by firms?

Accepted Answer

Limited access to capital for investment

Question 17

Suppose a new AI tool is introduced in schools. According to the study materials, what is a potential negative economic consequence of heavy AI use in education?

Accepted Answer

Reduced critical thinking skills among students

Question 18

A company faces a legal settlement requiring it to change its product features, such as limiting addictive design elements. Which economic concept does this scenario best illustrate?

Accepted Answer

Government intervention to address negative externalities

Question 19

If Nvidia invests $$105$$ billion in a new data center to support AI development, what economic principle is most directly illustrated?

Accepted Answer

Firms responding to incentives and competition

Microeconomics Foundations: Math Review and Economic Models

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