Algebra Bootcamp 2

What is (are) the solution(s) to the equation (𝒙 + 𝟏𝟐) ^𝟐 = 𝟒?

• 𝑥 = 14 only

• 𝑥 = 10 and 𝑥 = 14

• 𝑥 = −14 only

• 𝑥 = −14 and 𝑥 = −10

• 15

• 11

• −11

• −15

• 𝑦 < −3𝑥 + 9

• 𝑦 ≤ −3𝑥 + 9

• 𝑦 > −3𝑥 + 9

• 𝑦 ≥ −3𝑥 + 9

A manager of a deli gathers data about the number of sandwiches sold based on the number of customers who visited the deli over several days. The table shows the data the manager collects, which can be approximated by a linear function.

Customers 𝟏𝟎𝟒 𝟏𝟏𝟏 𝟏𝟕𝟎 𝟏𝟗𝟗 𝟏𝟔𝟑 𝟏𝟑𝟏

Sandwiches 𝟕𝟎 𝟕𝟒 𝟏𝟏𝟒 𝟏𝟑𝟑 𝟏𝟎𝟗 𝟗𝟎

If, on one day, 𝟏𝟕𝟖 customers visit the deli, about how many sandwiches should the deli manager anticipate selling?

• 119 sandwiches

• 124 sandwiches

• 178 sandwiches

• 253 sandwiches

Which two statements are true?

• The sum of 𝜋 and 0 is irrational.

• The sum of √16 and 2 5 is irrational.

• The sum of 8 and √21 is rational.

• The product of 9/5 and √19 is irrational.

• The product of 𝜋 and 5 is rational.

• 𝐴(𝑡) = 1.02(750)^t

• 𝐴(𝑡) = 750 − 1.02t

• 𝐴(𝑡) = 750 + 1.02t

• 𝐴(𝑡) = 750(1.02)^t

• 0

• 0. 3̅

• 1

• 9. 8

Use the information given to answer the next two questions. A homeowner hires a carpenter for a project replacing kitchen cabinets. The homeowner pays a flat cost for materials and a price per hour, 𝒉, for the installation of the cabinets.

The function 𝑻(𝒉) = 𝟑𝟓𝒉 + 𝟕𝟎𝟎 represents the total cost of the project. Which statement is true?

• The value 35 is the slope of the function, and it represents the flat cost for materials.

• The value 35 is the slope of the function, and it represents the price per hour for the installation of the cabinets.

• The value 35 is the 𝑦-intercept of the function, and it represents the flat cost for materials.

• The value 35 is the 𝑦-intercept of the function, and it represents the price per hour for the installation of the cabinets.

The homeowner also purchases 𝒙 handles for the new cabinets for $𝟑.𝟐𝟓 each and pays tax on the purchase. The function 𝑯(𝒙) = 𝟏.𝟎𝟕𝟓(𝟑.𝟐𝟓𝒙) represents the total cost of the handles. What does 𝟏.𝟎𝟕𝟓 represent?

• the increase in cost based on a tax rate of 7.5%

• the increase in cost based on a tax rate of 75%

• the total cost per handle after tax

• the total cost per handle before tax

• Both plans represent exponential functions.

• Both plans represent linear functions.

• Plan 1 represents a linear function, while Plan 2 represents an exponential function.

• Plan 1 represents an exponential function, while Plan 2 represents a linear function.