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Annie C.

Teacher and Tutor for two years

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Pre-Algebra

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Question:

Danielle is 17 years old. She is 3 years older than twice Zack's age. What is Zack's age?

Annie C.

Answer:

Zack is 7 years old. This can be solved by creating an equation, with the unknown number representing Zack's age.

Basic Math

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Question:

In a parking lot, 1/8 of the cars were red, 1/2 of the cars were blue, 1/5 of the cars were white, and the rest of the cars were gray. Which was the least common color in the parking lot?

Annie C.

Answer:

You would have to find a common denominator in order to compare the fractions and know exactly how many cars of each color were in the parking lot. After seeing that there were cars in the parking lot (possible common denominator), you could conclude that 5 cars were red, 20 cars were blue, 8 cars were white, and 7 cars were gray. Therefore, blue was the most common color in the parking lot.

Algebra

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Question:

Phone Company 1 charges a flat rate of $25.00 a month for local calling, and $0.05 per minute for each long distance call. Phone Company 2 charges a flat rate of $20.00 a month for local calling, and $0.10 per minute for long distance calling. After how many minutes of long distance calling do the phone companies charge an equal amount?

Annie C.

Answer:

Phone Company 1 and Phone Company 2 will charge equal amounts after 100 minutes of long distance calling. Phone Company 1 will charge $25 for the month plus $5 for 100 minutes for a total of $30. Phone Company 2 will charge $20 for the month plus $10 for 100 minutes, also for a total of $30. You can solve this by creating an expression for each Phone Company and then setting them equal to each other to solve as an equation, with x representing the number of minutes for long distance calling.

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