Alg 2 - End of Q3 Review Spring 2025

Solve:
3 | 2x + 7| - 7 < -4

• x < -3 and x > -5/3
• x < -3 and x > -4
• all real numbers
• no solution

What inequality is graphed?

• x > 2 and x < 4
• x ≥ 2 and x ≤ 4
• x > 2 or x < 4
• x ≥ 2 or x ≤ 4

Solve:  -3 ≤ 2x - 1 ≤ 5

• -1 ≤ x ≤ 3
• -1 < x < 3
• 1 < x < 3
• 1 ≤ x ≤ 3

Solve for x:

2x - 3 + 4x = 27

• x = 12

• x = 4

• x = 5

• x = 15

Solve for x:

7(2x - 4) = 42

• x = 5

• x = 8

• x = 2

• x = 9

Solve for b:
-11 + 3(b + 5) = 7

• b = 1
• b = -1
• b = 3
• b = -3

Find the common difference: -34, -29, -24, -19, ...

• d = -5
• d = 5
• d = -6
• d = 6

Find the next three terms in the arithmetic sequence: -33, -24, -15, -6, ...

• -1, 7, 15
• -5, 2, 9
• 3, 12, 21
• -65, -73, -81

Write the recursive formula for the following sequence?
6, 4, 2, 0, . . .

• a_n = -2n + 8
• a₁ =6, a_n = a_n - 1 - 2
• a₁ = 6, a_n = a_n-1 + 2
• a₁ = 6, a_n = a_n-1 - 2

What is the common ratio for the sequence:
28, 14, 7, 3.5...

• 2
• 1/2
• -14
• -7