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