Maths

Question 1

What is the process of expanding brackets in algebra?

Answer 1

The process of multiplying out the terms inside brackets to simplify an expression.

Question 2

True or False: Expanding brackets always results in a more complex expression.

Answer 2

False

Question 3

Expand the expression: 3(x + 4).

Answer 3

3x + 12

Question 4

Fill in the blank: To expand (a + b)(c + d), you use the __________ method.

Answer 4

FOIL

Question 5

What does FOIL stand for in the context of expanding brackets?

Answer 5

First, Outside, Inside, Last

Question 6

Expand the expression: 2(x - 3) + 4.

Answer 6

2x - 6 + 4, which simplifies to 2x - 2

Question 7

Which of the following is the correct expansion of (x + 5)(x - 2)? A) x^2 + 3x - 10 B) x^2 + 3x + 10 C) x^2 - 3x - 10

Answer 7

A) x^2 + 3x - 10

Question 8

What is the expanded form of 5(2x + 3y)?

Answer 8

10x + 15y

Question 9

True or False: The distributive property is used in expanding brackets.

Answer 9

True

Question 10

Expand the expression: (x + 2)(x + 3).

Answer 10

x^2 + 5x + 6