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