Mathematics for IGCSE & O level - Algebraic Manipulation (Section 7)

1
What do you need to check when factorizing expressions of the form ax² + bx + c?
คำตอบ
A
B
C
2
What is the result of (x + 4)(x - 4)?
คำตอบ
(C)
x^2 - 16
3
Which of the following can be factorized using the difference of two squares method?
คำตอบ
(B)
4x² - 25
4
Solve for x: 2x - 7 = 5.
คำตอบ
(D)
9
5
What is the sum of the interior angles of a triangle?
คำตอบ
(B)
180 degrees
6
What is the area of a circle with a radius of 7?
คำตอบ
(C)
49π
7
If a = 2 and b = 3, what is the value of 3a + 2b?
คำตอบ
(B)
11
8
What is the solution to the equation 3x + 1 = 7?
คำตอบ
(B)
2
9
Simplify the expression: 4a + 2b - a + 3b.
คำตอบ
(A)
3a + 5b
10
What is the simplified form of -5(x - 2)?
คำตอบ
(A)
-5x + 10
11
Simplify 2a - 3b + 5a + b
คำตอบ
(A)
7a - 2b
12
Which of the following are like terms?
คำตอบ
A
C
13
Which of the following is the simplified form of the expression 3x + 2x - x?
คำตอบ
(B)
5x
14
Solve for x: x/3 + 2 = 5
คำตอบ
(C)
9
15
What is the result of expanding (x + 5)^2?
คำตอบ
(C)
x^2 + 10x + 25
16
What's the simplified form of 3(x+y) - 2y?
คำตอบ
(A)
3x + y
17
What is the result of expanding (x - 4)(x + 2)?
คำตอบ
(A)
x^2 - 2x - 8
18
If a = 3, what is the value of 2a^2 - 4?
คำตอบ
(B)
18
19
Which rule is used when simplifying algebraic expressions?
คำตอบ
(C)
Collect all the positive terms and all the negative terms separately.
20
What is the meaning of "Factorizing an algebraic expression"?
คำตอบ
(A)
Factoring means to factor fully to make sure you have found all the common factors and that the expression in the brackets will not factorize further.
21
What is the expanded form of (x - 2)(x - 3)?
คำตอบ
(A)
x^2 - 5x + 6
22
Which of the following is a factor of 15x + 9?
คำตอบ
(B)
3
23
What is the factored form of 4x^2 - 16?
คำตอบ
(B)
(2x+4)(2x-4)
24
Expand and simplify: 4(x - 1) - (2x + 3)
คำตอบ
(A)
2x - 7
25
What is the simplified form of 3(a+b) - (a-b)?
คำตอบ
(B)
2a + 2b
26
Which of the following is a simplified form of x + 2x - 3x?
คำตอบ
(A)
0
27
What is the perimeter of a rectangle with length 8 and width 5?
คำตอบ
(B)
26
28
What is the result of (3x + 2y) - (x - y)?
คำตอบ
(A)
2x + 3y
29
Which of the following is a factor of 10x + 20?
คำตอบ
(B)
5
30
What is the area of a triangle with base b and height h?
คำตอบ
(B)
1/2bh
31
Which of the following is a linear equation?
คำตอบ
(B)
2x + 3 = 7
32
Which of the following is the expansion of (2x - 1)(x + 4)?
คำตอบ
(A)
2x^2 + 7x - 4
33
Which of these expressions is a perfect square trinomial?
คำตอบ
(B)
x² - 4x + 4
34
Which statements are true about the use of completing the square method?
คำตอบ
A
B
C
D
35
What is the minimum value of the expression x² - 4x + 5?
คำตอบ
(A)
1
36
Expand (x + 2)(x + 2)
คำตอบ
(B)
x^2 + 4x + 4
37
Simplify: 4(x + 3).
คำตอบ
(B)
4x + 12
38
If a = 4, what is the value of 3a - 5?
คำตอบ
(B)
12
39
What is the result of expanding (a-b)^2?
คำตอบ
(C)
a^2 - 2ab + b^2
40
What is the area of a square with sides of length 's'?
คำตอบ
(C)
s^2
41
In the expression ax²+bx+c, how would you identify factors of the form if a != 1?
คำตอบ
(C)
Determine the factors of ac.
42
What expression does the following describe: If apples cost $2 each and you bought 'a' apples?
คำตอบ
(B)
2a
43
What is the result of simplifying 8x - 3y + 2y - x?
คำตอบ
(A)
7x - y
44
The formula for the area of a circle is πr^2. If r=3, find the area.
คำตอบ
(C)
9π
45
Which of the following is a factor of 6x + 9?
คำตอบ
(C)
3
46
The perimeter of a rectangle is given by the formula 2(l+w). If l=5 and w=3, what is the perimeter?
คำตอบ
(D)
15
47
Which of the following is the simplified form of 5a * 2b?
คำตอบ
(B)
10ab
48
What is the formula for calculating the area of a parallelogram?
คำตอบ
(B)
base * height
49
Simplify: 2(3x + 4y) - (x - y).
คำตอบ
(B)
5x + 7y
50
If a quadratic expression can be written as the difference of two squares, which of these expressions CANNOT be a term in it?
คำตอบ
(C)
5