# MATH: Arithmetic Number Theory and Business Math

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