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?
إجابة
A
B
C
2
What is the result of (x + 4)(x - 4)?
إجابة
(C)
x^2 - 16
3
Which of the following can be factorized using the difference of two squares method?
إجابة
(B)
4x² - 25
4
Solve for x: 2x - 7 = 5.
إجابة
(D)
9
5
What is the sum of the interior angles of a triangle?
إجابة
(B)
180 degrees
6
What is the area of a circle with a radius of 7?
إجابة
(C)
49π
7
If a = 2 and b = 3, what is the value of 3a + 2b?
إجابة
(B)
11
8
What is the solution to the equation 3x + 1 = 7?
إجابة
(B)
2
9
Simplify the expression: 4a + 2b - a + 3b.
إجابة
(A)
3a + 5b
10
What is the simplified form of -5(x - 2)?
إجابة
(A)
-5x + 10
11
Simplify 2a - 3b + 5a + b
إجابة
(A)
7a - 2b
12
Which of the following are like terms?
إجابة
A
C
13
Which of the following is the simplified form of the expression 3x + 2x - x?
إجابة
(B)
5x
14
Solve for x: x/3 + 2 = 5
إجابة
(C)
9
15
What is the result of expanding (x + 5)^2?
إجابة
(C)
x^2 + 10x + 25
16
What's the simplified form of 3(x+y) - 2y?
إجابة
(A)
3x + y
17
What is the result of expanding (x - 4)(x + 2)?
إجابة
(A)
x^2 - 2x - 8
18
If a = 3, what is the value of 2a^2 - 4?
إجابة
(B)
18
19
Which rule is used when simplifying algebraic expressions?
إجابة
(C)
Collect all the positive terms and all the negative terms separately.
20
What is the meaning of "Factorizing an algebraic expression"?
إجابة
(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)?
إجابة
(A)
x^2 - 5x + 6
22
Which of the following is a factor of 15x + 9?
إجابة
(B)
3
23
What is the factored form of 4x^2 - 16?
إجابة
(B)
(2x+4)(2x-4)
24
Expand and simplify: 4(x - 1) - (2x + 3)
إجابة
(A)
2x - 7
25
What is the simplified form of 3(a+b) - (a-b)?
إجابة
(B)
2a + 2b
26
Which of the following is a simplified form of x + 2x - 3x?
إجابة
(A)
0
27
What is the perimeter of a rectangle with length 8 and width 5?
إجابة
(B)
26
28
What is the result of (3x + 2y) - (x - y)?
إجابة
(A)
2x + 3y
29
Which of the following is a factor of 10x + 20?
إجابة
(B)
5
30
What is the area of a triangle with base b and height h?
إجابة
(B)
1/2bh
31
Which of the following is a linear equation?
إجابة
(B)
2x + 3 = 7
32
Which of the following is the expansion of (2x - 1)(x + 4)?
إجابة
(A)
2x^2 + 7x - 4
33
Which of these expressions is a perfect square trinomial?
إجابة
(B)
x² - 4x + 4
34
Which statements are true about the use of completing the square method?
إجابة
A
B
C
D
35
What is the minimum value of the expression x² - 4x + 5?
إجابة
(A)
1
36
Expand (x + 2)(x + 2)
إجابة
(B)
x^2 + 4x + 4
37
Simplify: 4(x + 3).
إجابة
(B)
4x + 12
38
If a = 4, what is the value of 3a - 5?
إجابة
(B)
12
39
What is the result of expanding (a-b)^2?
إجابة
(C)
a^2 - 2ab + b^2
40
What is the area of a square with sides of length 's'?
إجابة
(C)
s^2
41
In the expression ax²+bx+c, how would you identify factors of the form if a != 1?
إجابة
(C)
Determine the factors of ac.
42
What expression does the following describe: If apples cost $2 each and you bought 'a' apples?
إجابة
(B)
2a
43
What is the result of simplifying 8x - 3y + 2y - x?
إجابة
(A)
7x - y
44
The formula for the area of a circle is πr^2. If r=3, find the area.
إجابة
(C)
9π
45
Which of the following is a factor of 6x + 9?
إجابة
(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?
إجابة
(D)
15
47
Which of the following is the simplified form of 5a * 2b?
إجابة
(B)
10ab
48
What is the formula for calculating the area of a parallelogram?
إجابة
(B)
base * height
49
Simplify: 2(3x + 4y) - (x - y).
إجابة
(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?
إجابة
(C)
5