Mathematics for IGCSE & O level - Algebraic Manipulation (Section 3)
1
What are the terms of the bracket (x+5) which when multiplied give x²+10x+25?
3
Which expressions can be factored using the difference of squares?
4
What expression results from completing the square of x² + 6x + 5?
6
What is the result of factorizing x² - 16?
7
In the factorization of x² - 5x + 6, what are the two numbers that multiply to 6 and add up to -5?
8
What is the factored form of 10x + 15?
9
Which expression is equivalent when factorizing 18r - 30s?
10
If the expansion of a bracket resulted in the expression x² + 2x + 1, what were the original brackets?
11
What is the result of expanding 2(x + 3)?
13
Simplify 7u - 4u + 8v - 2v
14
What are the factors of x² - 25?
15
Which is the complete square form for x² + 2x - 3?
16
Simplify: 2y + 5z - y - 3z
17
When factoring quadratic expressions of the form x² + bx + c where 'c' is positive, what can be inferred about the signs of the factors?
Trả lời(B)
The factors have the same sign.
18
What is the factored form of x² - 16?
21
If the perimeter of a rectangle is given by 2l + 2w, what is the perimeter of a rectangle with l = 5 and w = 3?
22
What is the result of completing the square on the expression x² + 12x + 30?
23
If you have an equation x² - 6x + 9 = 0, what are the solutions to this quadratic equation?
25
A rectangle has a length of 'a' and a width of 'b'. What is the formula for the area of the rectangle?
26
Which of the following options can be used when simplifying more complex brackets?
27
What is the purpose of using algebraic expressions?
Trả lời(B)
To represent mathematical relationships and solve problems.
28
What is the expanded form of (5x + 2)(3x - 4)?
29
To factor the expression 4x² - 9, what method is applied?
30
Which algebraic expression represents '5 less than a number x'?
31
What is 5(x - 1) when expanded?
32
What is the simplified form of a + a + b + b + b?
33
What is the result of expanding -3(x + 5)?
34
Simplify: 8a - 5b + 2a + 7b
36
What is the correct procedure for simplifying algebraic expressions?
37
What is the complete square form of x² + 6x + 5?
38
A triangle has a base of 'b' and a height of 'h'. What is the formula for its area?
39
Which of the following statements is true when factoring an expression using the form ax² + bx + c?
40
Which of these is a perfect square trinomial?
41
What is the standard form of a quadratic equation?
43
Which of these expressions is a difference of squares?
45
What is the equivalent expression after correctly factorizing 50x - 75?
46
For the expression 2x² + 7x + 3, what numbers are required to factor by trial and error?
47
What is the expanded form of (3x - 4)(x + 2)?
48
What type of expression is represented by a² + 2ab + b²?
49
The expression x²-14x+49 can be obtained by multiplying a bracket by itself, what is that bracket?
50
Which expression is correct when expanding (2x - 1)(x + 4)?
