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