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