Mathematics for IGCSE & O level - Algebraic Manipulation (Section 6)
1
What is the correct factorization of 7x + 14?
คำตอบ
(B)
7(x + 2)
2
If the sales tax is 8% on a $50 item, what is the total cost?
คำตอบ
(B)
$58
3
Simplify 6x - 4y + 2x + 9y
คำตอบ
(A)
8x + 5y
4
What does it mean to expand an expression?
คำตอบ
(B)
To remove parentheses by multiplying.
5
What is the greatest common factor (GCF) of 24 and 36?
คำตอบ
(D)
12
6
If x= -2, what is the value of x^2 - 3x?
คำตอบ
(C)
10
7
What expression represents the area of a triangle?
คำตอบ
(C)
1/2 * base * height
8
What is the simplified form of (2x + 1) + (3x - 2)?
คำตอบ
(A)
5x - 1
9
What is the result of (x + 2)(x - 2)?
คำตอบ
(B)
x^2 - 4
10
Which of these is the expanded form of (x + 2)(x + 1) ?
คำตอบ
(A)
x^2 + 3x + 2
11
Which of these expressions are equivalent?
คำตอบ
A
C
D
12
What is the coefficient of x in the expression 5x - 3?
คำตอบ
(D)
5
13
When factorizing x² + bx + c and 'c' is positive, what is the rule for the signs of the factors?
คำตอบ
(D)
Both factors have the same sign as the coefficient of 'b'.
14
If x = -3, what is the value of x + 5?
คำตอบ
(B)
2
15
What is the simplified expression for: 5(2x + 3) + 2x?
คำตอบ
(B)
12x + 15
16
If a square has a perimeter of 20, what is its area?
คำตอบ
(C)
25
17
If a pentagon has five sides, and each side has length 3, what is its perimeter?
คำตอบ
(C)
15
18
Solve for x: 4x + 7 = 27
คำตอบ
(A)
5
19
If a = 2 and b = 3, what is the value of 2a + b?
คำตอบ
(B)
7
20
In the expression ax² + bx + c, if the coefficient of 'a' is not 1, what is the first step to factorize?
คำตอบ
(B)
Find two numbers that multiply to ac and add to b.
21
What is the result of completing the square for x² - 4x + 5?
คำตอบ
(A)
(x - 2)² + 1
22
Which of the following is an example of like terms?
คำตอบ
(C)
5x and -x
23
Which expression represents the total cost if apples cost $1.50 each and you buy 'n' apples?
คำตอบ
(B)
1.50n
24
If the coefficient of x in the middle term of a quadratic expression is negative, what does that indicate about the resulting factors when completing the square?
คำตอบ
(B)
The sign in the bracket will be negative.
25
What is the expansion of 4(2x - 1)?
คำตอบ
(A)
8x - 4
26
What is the expanded form of (x+y)(x-y)?
คำตอบ
(B)
x^2 - y^2
27
If x + y = 7 and x - y = 3, what is the value of x?
คำตอบ
(C)
5
28
When completing the square, what must be added and subtracted to an expression of the form x² + bx?
คำตอบ
(C)
(b/2)² and -(b/2)²
29
If the perimeter of a rectangle is 2l + 2w, and the length is 7 and the width is 3, what is the perimeter?
คำตอบ
(C)
20
30
If a car travels at 60 miles per hour, how far will it travel in 'h' hours?
คำตอบ
(A)
60h miles
31
Which of the following expressions are correctly expanded?
คำตอบ
A
B
D
32
Which is the expanded form of (2x + 1)(x - 2)?
คำตอบ
(A)
2x^2 - 3x - 2
33
What is the simplified form of 4(x - 1) + 2x?
คำตอบ
(A)
6x - 4
34
What is the value of 2(x + 1) when x = 4?
คำตอบ
(C)
10
35
What is the result of (x + 2)(x + 3)?
คำตอบ
(A)
x^2 + 5x + 6
36
Which methods can be applied in order to factorize the quadratic expressions?
คำตอบ
A
B
C
D
37
Simplify: 7x - 3y + 2x + 5y.
คำตอบ
(A)
9x + 2y
38
What is the product of (2x + 1) and (x - 3)?
คำตอบ
(A)
2x^2 - 5x - 3
39
Which of the following is the correct factorization of 3x + 9?
คำตอบ
(A)
3(x + 3)
40
Which of the following simplifies to the expression 3x + 9?
คำตอบ
(A)
3(x + 3)
41
If a square has a side length of 'a', what expression represents its perimeter?
คำตอบ
(B)
4a
42
What is the expanded form of (x-1)(x+3)?
คำตอบ
(A)
x^2 + 2x - 3
43
Expand and simplify: (x+1)(x-5)
คำตอบ
(A)
x^2 - 4x - 5
44
When factorizing x² + bx + c and 'c' is negative, what is the rule for the signs of the factors?
คำตอบ
(C)
The factors must have different signs.
45
When factorizing 3x² - 6x - 9, which is the correct step to start with?
คำตอบ
(B)
Look for the common factor.
46
Expand (x+4)(x+1)
คำตอบ
(A)
x^2 + 5x + 4
47
Which expression is equivalent to x/4 = 7?
คำตอบ
(C)
x = 28
48
What's the area of a rectangle with a length of 9 and a width of 4?
คำตอบ
(C)
36
49
What expression is equivalent to 3(x + 2)?
คำตอบ
(C)
3x + 6
50
What is the simplified expression of 2x + 3y - x + y?
