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