Simplify expressions involving series of operations.

1. Perform the indicated operations: 2[3 + (-1) - 4]

A. -2

B. -3

C. -4

D. -5

2. Simplify: ½[5 - (-1)] + (-6)

A. -1

B. -3

C. -5

D. -7

3. Perform the indicated operations: 2³ + (-7 + 11)²

A. 14

B. 24

C. 34

D. 44

4. Simplify: -9+3²/2²-1

A. 7

B. 4

C. 3

D. 0

For numbers 5-9, consider the functions below:

f (x) = 3x² + 4x - 5

g (x) = 3x + 9

h (x) = x + 3

5. What is (f + g) (x)?

A. 3x² + 7x - 4

B. 3x² + 7x + 4

C. 3x² - 7x - 4

D. 3x² - 7x + 4

6. What is (h - f) (x)?

A. 3x² - 3x + 8

B. -3x² + 3x + 8

C. 3x² - 3x - 8

D. -3x² - 3x + 8

7. What is (h/g) (x)?

A. ⅓

B. 3

C. x + 3

D. 3x + 9

8. Evaluate f (0) + g(-1)

A. 1

B. 4

C. 5

D. 8

9. Evaluate [g(2)][h(-1)]

A. 15

B. 30

C. 45

D. 60

10. What is the sum of x + 7 and -4x - 5?

A. x + 3

B. 2x + 8

C. -5x + 12

D. -3x + 2

11. Simplify: (2x + 1)(x - 4)

A. 2x²

B. x² - 7x

C. 2x² - 7x - 4

D. x² - 7x - 4

12. Simplify: (5x⁴ + 2x³ -x² + 3x - 4) + (-2x³ - 3x + 4)

A. 5x⁴ - x²

B. 5x⁴ - x² + 8

C. 5x⁴ -x² + 6x

D. 5x⁴ + 4x³ - x²

13. What is the remainder of x² + 4x - 5 divided by x + 2?

A. x+2

B. 9/x+2

C. - 9/x+2

D. -1

14. What is the quotient of 15x² - 17x - 4 divided by 5x + 1?

A. 3

B. 3x

C. -3x

D. 3x - 4

15. Perform the indicated operations: 6-(-2)/2

A. 3

B. 4

C. 5

D. 6