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Mth – Half Book 1

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Question 1 of 20 0% read

1. The property illustrated by the equation a + (b + c) = (a + b) + c is called:

A Commutative Property of Addition

B Associative Property of Addition

C Distributive Property

D Additive Identity

2. What is the radius of a circle if its sector has an arc length of 15 cm and a central angle of 3 radians?

A 5 cm

B 45 cm

C 3 cm

D 10 cm

3. Which property is used in 7 × (8 × 9) = (7 × 8) × 9?

A Commutative

B Associative

C Distributive

D Identity

4. If A = {1, 2, 3} and B = {2, 4, 6}, what is A ∩ B?

A {2}

B {1, 3}

C {4, 6}

D {1, 2, 3, 4, 6}

5. What is the logarithm of a number less than 1?

A Positive

B Negative

C Zero

D Undefined

6. Simplify: (x² + 4x + 3)/(x² - 1) × (x - 1)/(x + 3)

A 1

B x + 1

C x - 1

D (x + 1)/(x - 1)

7. What is the reciprocal of -5?

A -1/5

B 1/5

C 5

D -5

8. What is the value of log₄(64)?

A 2

B 3

C 4

D 8

9. Simplify: 3√5 + 2√5.

A 5√5

B 6√5

C √5

D 5√10

10. Find the LCM of x² + 6x + 9 and x² - 9.

A (x + 3)²(x - 3)

B (x + 3)(x - 3)

C (x + 3)²

D (x - 3)²(x + 3)

11. What is the union of A = {1, 2, 3} and the empty set?

A {1, 2, 3}

B ∅

C {1, 2, 3, ∅}

D U

12. What is (a²)³ equal to?

A a⁶

B a⁵

C a⁸

D a⁹

13. Simplify: (a/b)⁻³

A b³/a³

B a³/b³

C b/a

D a/b

14. If log₁₀(5) = 0.6990, what is log₁₀(50)?

A 0.6990

B 1.6990

C 2.6990

D 3.6990

15. Which of the following is a rational number?

A π

B √2

C 0.75

D √3

16. What is the solution of √(2x - 1) = 3?

A 5

B 4

C 6

D 8

17. The associative property for union of sets states that:

A A ∪ B = B ∪ A

B (A ∪ B) ∪ C = A ∪ (B ∪ C)

C A ∪ (B ∩ C) = (A ∪ B) ∩ (A ∪ C)

D A ∪ ∅ = A

18. Simplify: (3²)³.

A 3⁵

B 3⁶

C 3⁸

D 3⁹

19. Simplify: 4⁻²

A 1/16

B 16

C -16

D -1/16

20. Solve: |3x - 6| = 0

A 2

B -2

C 0

D 6

Mth – Half Book 1

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