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