- 1. Algebraic or symbolic computation is a branch of mathematics that deals with mathematical expressions and equations in symbolic form, rather than numerical form. It involves manipulating these expressions using rules of algebra to simplify, solve, or manipulate equations symbolically. This approach allows for the manipulation of variables and constants without needing specific numerical values, making it particularly useful in solving complex mathematical problems, computer algebra systems, and various scientific applications.
Which of the following is the multiplicative inverse of a?
A) -a
B) 1/a
C) a/2
D) a2
- 2. What is the solution to the equation 2x + 5 = 11?
A) x = 3
B) x = 5
C) x = 4
D) x = 2
- 3. Factor completely: x2 - 4.
A) (x + 4)(x + 1)
B) (x - 4)(x + 1)
C) (x + 4)(x - 1)
D) (x + 2)(x - 2)
- 4. What is the value of 2x3 - 5x3 + x - 2x when simplified?
A) -x3 + x
B) -3x3 + x
C) -3x3 - 3x
D) -x3 - 3x
- 5. Which property states that a + b = b + a for all real numbers a and b?
A) Associative Property of Addition
B) Distributive Property
C) Identity Property of Addition
D) Commutative Property of Addition
A) = 5.
B) Solve:
C) x = 8 or x = -2
D) x = -8 or x = -2
E) x - 3
F) x = 2 or x = -8
- 7. What is the result of x2 - 2x + 1 when factored?
A) (x - 1)(x + 1)
B) (x - 2)(x + 1)
C) x(x - 1)
D) (x - 1)2
- 8. What is the solution to the equation 4(x - 2) = 8?
A) x = 6
B) x = 8
C) x = 4
D) x = 2
- 9. Expand and simplify: (x - 2)2.
A) x2 + 4x - 4
B) x2 - 4x + 4
C) x2 - 2x + 4
D) x2 - 2x - 4
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