Yana B.

Chemistry Graduate - Bachelors

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Pre-Calculus

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Question:

Solve the inequality -2 < 3x+1 < 13

Yana B.

Answer:

Subtract 1 from each term. -2(-1) < 3x + 1 (-1) < 13 (-1) -3 < 3x < 12 Now divide each term by 3 -3(/3) < 3x (/3) < 12 (/3) -1 < x < 4 The solution is (-1,4)

Basic Math

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Question:

A car gets 40 kilometers per gallon of gasoline. How many gallons of gasoline would the car need to travel 180 kilometers?

Yana B.

Answer:

1 gallon = 40 kilometers You need to solve the following: x gallons = 180 kilometers Use proportional math to solve. 1gal/40km = x gal/180km -> Set up as fractions, hard to do on computer. Have a numerator and denominator to be able to cross multiple. Cross multiple: (1 gal x 180km) = 40x 180 = 40x x=180/40 x= 4.5 You need 4.5 gallons to travel 180 kilometers.

Algebra

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Question:

Solve -25x - 5y + 25 = 0 for y.

Yana B.

Answer:

Isolate the y variable to solve for y. Rule, what you do to one side you must do to the other side (shown in parenthesis). 1. -25x-5y + 25 (-25) = 0 (-25) -> -25x-5y = -25 2. (+25x) -25x -5y = -25 (+25x) -> -5y = -25+25x 3. -5y(/-5) = -25(/-5) + 25x(/-5) -> y = 5 - 5x Answer: y = 5-5x

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