Tutor profile: Shernia J.
Subject: Basic Math
The answer to an equation is $$2x^2$$. Which of the following expressions will yield this answer? A) $$2x+x$$ B) $$2x+(x+x)$$ C) $$2x(x)$$
The correct answer is Option C: $$2x(x)$$ . This simplifies to $$2*x*x$$ , where $$x*x$$ can be simplified to $$x^2$$. This is demonstrated below: $$2x(x)$$ = $$2*x*x$$ = $$2*x^2$$ = $$2x^2$$ Option A is INCORRECT, as the expression $$2x+x$$ yields $$3x$$. Recall that $$x+x=2x$$, such that: $$2x+x$$ = $$x+x+x$$ = $$3x$$ Option B is INCORRECT, as the expression $$2x+(x+x)$$ yields $$4x$$. This equation requires similar logic to Option A above. Here, we adhere to the rule that the elements within parentheses are always solved first. Thus, $$(x+x)$$ = $$2x$$. The expression becomes $$2x+2x$$. From here, we can work out that: $$2x+2x$$ = $$x+x+x+x$$ =$$4x$$
A person is able to find employment, but chooses to remain unemployed because he is unwilling to work at the current wage level. Which type of unemployment is illustrated here? A) Cyclical unemployment B) Voluntary unemployment C) Frictional unemployment
The answer is voluntary employment. Voluntary employment occurs when people are able to find jobs, but opt to remain unemployed because wages are too low. Voluntary unemployment has become more widespread since the COVID-19 pandemic, especially in the restaurant industry. Wages are set so low that employees have opted to stay home and, in some cases, apply for unemployment benefits which are often greater than their wages. Cyclical unemployment is INCORRECT. Cyclical unemployment is unemployment resulting from changes in the business or economic cycle. When the economy is in recession, persons will spend less, causing businesses to earn less. As a result, businesses may seek to reduce staff, causing unemployment to rise. Contrarily, when the economy is booming, businesses are likely to hire more staff to meet increasing consumer demand, so unemployment falls. Frictional unemployment is INCORRECT. Frictional unemployment (sometimes called "search unemployment") is usually the the period of unemployment when a person is in the process of switching from one job to another or when a person is searching for a new job.
Read the following sentence and observe the word written in upper case letters. Which of the options below best replaces the highlighted word? If the highlighted word is used correctly in the sentence, select option D for "no change". The university alumni would have been on time for the press conference AND Tom had not been late. A) THOUGH B) IF C) BUT D) NO CHANGE
The correct answer to this question is IF. Here, the conditional tense is being used in a type 3 conditional sentence. This is indicated by the phrase "would have been." Here, his tense creates a hypothetical about what could have happened, but it may also describe what might have happened or what we hope to happen. To summarize, the conditional tense usually begs the question "what if?" and as such, a common indicator of the conditional tense is the use of the word "if." When studying the sentence, we see that the university alumni were NOT on time, but in a hypothetical situation, they COULD have been, IF Tom had not been late.
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