Test on Algebraic Modeling and Basic Geometry
Algebraic Modeling & Basic Geometry: Master Key Concepts
Test: School Algebra Problems
20 questions
Question 1: The provided study materials include a function for the area 'a' of the shape, expressed in terms of 'L', as A = 8L + 18 cm².
A. Ano
B. Ne
Explanation: The study materials contain the statement 'Find a function for a in terms of L' and subsequently provide 'A = 8L + 18 cm²' directly after this prompt.
Question 2: The cost function for buying theatre tickets, including a booking fee, can be represented as C = 12t + 3, where t is the number of tickets.
A. Ano
B. Ne
Explanation: The study materials provide 'Theatre tickets cost $12 each plus a booking fee of $3' and demonstrate with '4 tickets = $51', which is consistent with the formula C = 12(4) + 3 = 48 + 3 = 51.
Question 3: The algebraic expression for the perimeter 'p' of the given shape is p = L + 22 cm.
A. Ano
B. Ne
Explanation: The study materials explicitly state that the perimeter 'p' is shown to be p = 2L + 22 cm, not p = L + 22 cm.
Question 4: The total cost for 8 family size pizzas, including delivery, is $192.
A. Ano
B. Ne
Explanation: The study materials state the cost for pizzas is C = 24p + 5, where p is the number of pizzas. For 8 pizzas, the cost would be (24 * 8) + 5 = 192 + 5 = $197. The materials incorrectly calculate 8 pizzas as $192, implying a formula of C = 24p without the delivery fee, or a different fee.
Question 5: The total cost for Aron to buy 5 books online is $30.
A. Ano
B. Ne
Explanation: The cost for each book is $6 and postage is $4. So, for 5 books, the cost would be (6 * 5) + 4 = 30 + 4 = $34.