Expanding And Factorising Test 1
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Year 9&10 initial test on expanding and factorsing
Questions and Answers
- 1.
Expand 2x(x-9)
- A.
2x-18
- B.
2x^2 - 18x
- C.
2x-9
- D.
2x²-11
Correct Answer
B. 2x^2 - 18xExplanation
To expand the expression 2x(x - 9), you can use the distributive property. Multiply 2x by each term inside the parentheses: 2x(x - 9) = 2x * x - 2x * 9
Now, perform the multiplications: 2x^2 - 18x So, the expanded form of 2x(x - 9) is 2x^2 - 18x.Rate this question:
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- 2.
7(2x-5)
- A.
14x-35
- B.
72x-5
- C.
14x+5
- D.
14x-5
Correct Answer
A. 14x-35Explanation
The given expression is 7(2x-5). To simplify this expression, we distribute the 7 to both terms inside the parentheses, resulting in 14x-35. Therefore, the correct answer is 14x-35.Rate this question:
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- 3.
-6x(x+2)
- A.
-6x+12
- B.
-6x-12
- C.
-6x²-12
- D.
-6x²+12
Correct Answer
C. -6x²-12Explanation
The given expression is -6x(x+2). To simplify this expression, we need to distribute the -6x to both terms inside the parentheses. This gives us -6x times x, which is -6x², and -6x times 2, which is -12x. Therefore, the simplified expression is -6x²-12.Rate this question:
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- 4.
Factorise 12x+4
Correct Answer
4(3x+1)Explanation
The given expression, 12x+4, can be factorized by taking out the common factor of 4. When we factor out 4 from both terms, we get 4(3x+1). This means that 4 is a common factor of both 12x and 4, and when we divide both terms by 4, we are left with 3x+1 inside the parentheses. Therefore, the correct factorization of 12x+4 is 4(3x+1).Rate this question:
- 5.
Factorise fully 2x²-4x
- A.
2x(x-4)
- B.
X(2x-4)
- C.
2(x²-x)
- D.
2x(x-2)
Correct Answer
D. 2x(x-2)Explanation
The given expression is 2x²-4x. We can factor out the greatest common factor, which is 2x, from both terms. This gives us 2x(x-2), which is the fully factorized form of the expression.Rate this question:
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- 6.
Factorise 24a²+10a
Correct Answer
2a(12a+5)Explanation
The given expression, 24a²+10a, can be factorized by finding the greatest common factor (GCF) of the terms. In this case, the GCF is 2a. By factoring out the GCF, we get 2a(12a+5), which is the correct answer.Rate this question:
- 7.
Factorise 6ab-18a²b
Correct Answer
6ab(1-3a)Explanation
The given expression can be factorized by taking out the common factor of 6ab from both terms. This leaves us with 1-3a inside the parentheses. Therefore, the correct factorization is 6ab(1-3a).Rate this question:
- 8.
Factorise12kx+21k
Correct Answer
3k(4x+7)Explanation
The given expression, 12kx + 21k, can be factorized by taking out the common factor of 3k from both terms. This results in 3k(4x + 7), which is the simplified form of the expression.Rate this question:
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Current Version
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Oct 19, 2023Quiz Edited by
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Jul 20, 2009Quiz Created by
Ruthcallcott
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