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Mathematics for IGCSE & O level - Algebraic Manipulation (Section 8)

1
Which of the following shows the correct way to factor 3x + 6?
Answer
(B)
3(x+2)
2
What is the result of expanding the expression 2(x + 3)?
Answer
(B)
2x + 6
3
What is the area of a rectangle with length 7 and width 5?
Answer
(C)
35
4
Which of the following is a factor of 4x - 8?
Answer
(C)
2
5
What is the value of 3x^2 + 2x - 1 when x = 2?
Answer
(A)
15
6
Which expressions are equivalent?
Answer
A
C
7
Simplify the expression: 5x + 3y - 2x + y.
Answer
(B)
3x + 4y
8
What is the value of x in the equation 2x + 5 = 11?
Answer
(A)
3
9
Which expression represents the area of a rectangle with length 5x and width 2?
Answer
(A)
10x
10
Which of the following is the expansion of (3x+1)^2?
Answer
(B)
9x^2 + 6x + 1
11
What is the perimeter of a triangle with sides 5, 7, and 9?
Answer
(B)
21
12
Which is equivalent to 2(x + 3) - x?
Answer
(A)
x + 6
13
Identify the correct statement regarding the factors of an expression.
Answer
(B)
Factors are numbers or letters which will divide into an expression.
14
Solve for x: 2(x+3) = 10
Answer
(B)
3
15
What is the first step in factorizing an expression of the form x² + bx + c?
Answer
(A)
Identify the factors of 'c'
16
The formula for the volume of a rectangular prism is V = lwh. If l=2, w=3 and h=4, what is V?
Answer
(C)
24
17
Which expression represents a difference of two squares?
Answer
(B)
x² - 4
18
Which operation is used to remove brackets?
Answer
(A)
multiplication
19
Find the value of x when x/2 = 8
Answer
(C)
16
20
What is the correct simplification of -3(x - 4)?
Answer
(B)
-3x + 12
21
Which expression is equivalent to 5x - 10?
Answer
(A)
5(x - 2)
22
What is the value of 'x' in the equation x/4 + 2 = 7?
Answer
(C)
20
23
Which of the following is the factored form of x²-16?
Answer
(D)
(x-4)(x+4)
24
Simplify: 9x - 2y - 4x + 7y.
Answer
(A)
5x + 5y
25
What is the value of y if 3y - 2 = 10?
Answer
(D)
8
26
Which of the following correctly describes the order of operations when factorizing a quadratic expression?
Answer
(A)
Factor out common factors, then identify factors of 'c'.
27
What is the value of the expression 2x - 1, when x = 3?
Answer
(C)
5
28
What is the next step in simplifying 3x + 5x - 2x?
Answer
(D)
Add all coefficients and keep the x
29
What is the solution of the equation 4x - 5 = 11?
Answer
(B)
4
30
If the perimeter of a rectangle is 28 and the length is 10, what is the width?
Answer
(B)
8
31
What is the correct factorization of 2x + 4?
Answer
(A)
2(x + 2)
32
Which expression represents the area of a square with side length s?
Answer
(C)
s^2
33
What is the correct factorization of 5x + 15?
Answer
(B)
5(x + 3)
34
Expand and simplify: 3(x + 2) - 2x
Answer
(A)
x + 6