Algebra 2 Unit 1 Test - Honors

Describe the pattern in the sequence. Find the next three terms. 13, 15, 17, 19, ...

• Add 2; 23, 25, 27.

• Multiply by 2; 38, 76, 152.

• Add -2; 11, 15, 13.

• Add 2; 21, 23, 25.

Write a recursive formula for the sequence 8, 10, 12, 14, 16, ... Then find the next term.

• a_n = a_n-1 + 2,

  where a₁ = 8; 18

• a_n = a_n-1 + 2,

  where a₁ = 18; 8

• a_n = a_n-1 - 2,

  where a₁ = 8; 18

• a_n = a_n-1 - 2,

  where a₁ = 2; -2

Write an explicit formula for the sequence 7, 2, -3, -8, -13, ... Then find a₁₄.

• a_n = -5n + 12; -53

• a_n = -5n + 7; -58

• a_n = -5n + 12; -58

• a_n = -5n + 7; -63

Is the sequence arithmetic? If so, identify the common difference.

• Yes, 7

• Yes, -7

• Yes, 14

• No

The table shows the predicted growth of a particular bacteria after various numbers of hours. Write an explicit formula for the sequence of the number of bacteria.

• a. a_n = 19n + 19

• b. a_n = n + 19

• d. a_n = 19n

6. Find the maximum value of F = -30x + 50y in the feasible region shown below.

• A) 1100

• B) 90

• C) 660

• D) 200

• E) 330

Which point is NOT a corner point of the feasible region of the following systems of inequalities?

4x + 3y ≤ 15

x + 6y ≤ 9

x ≥ 0

y ≥ 0

• (0, 5)

• (3, 1)

• (3.75, 0)

• (0, 0)

• (0, 1.5)

The maximum daily production of an oil refinery is 1400 barrels. The refinery can produce two types of fuel: gasoline and heating oil. The production cost per barrel is $6 for gasoline and $8 for heating oil. The daily production budget is $9600. The profit is $3.50 per barrel on gasoline and $4 per barrel on heating oil. What is the maximum total profit, given these constraints?

• $4800

• $4900

• $5000

• $5200

• $5300

• x > 3 or x < 1

• x > 3 and x < 1

• x < 3 or x > 1

• x < 3 and x > 1