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