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