Algebra 1 | Unit 2 | Lesson 4: Equations and Their Solutions | Practice Problems

An artist is selling children's crafts. Necklaces cost $2.25 each, and bracelets cost $1.50 per each. Select all the combinations of necklaces and bracelets that the artist could sell for exactly $12.00.

• 5 necklaces and 1 bracelet

• 2 necklaces and 5 bracelets

• 3 necklaces and 3 bracelet

• 4 necklaces and 2 bracelets

• 3 necklaces and 5 bracelets

An artist is selling children's crafts. Necklaces cost $2.25 each, and bracelets cost $1.50 per each. Select all the combinations of necklaces and bracelets that the artist could sell for exactly $12.00.

• 6 necklaces and no bracelets

• No necklaces and 8 bracelets

• If 12 cars go, then 2 vans are needed.

• If 6 cars go and 11 vans go, there will be extra space.

• 10 cars and 8 vans isn’t enough to transport all the students.

• If 20 cars go, no vans are needed.

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The drama club is printing t-shirts for its members. The printing company charges a certain amount for each shirt plus a setup fee of $40. There are 21 students in the drama club. If there are 21 students in the club and the t-shirt order costs a total of $187, how much does each t-shirt cost? Show your reasoning.

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The box plot represents the distribution of the number of children in 30 different families. After further examination, the value of 12 is removed for having been recorded in error. The box plot represents the distribution of the same data set, but with the maximum, 12, removed. The median is 2 children for both plots. Explain why the median remains the same when 12 was removed from the data set. When 12 is removed from the data set, does mean remain the same? Explain your reasoning.

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The number of points Jada's basketball team scored in their games have a mean of about 44 and a standard deviation of about 15.7 points. Interpret the mean and standard deviation in the context of Jada's basketball team.

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