Expanding And Factorising Test 1

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| By Ruthcallcott

Ruthcallcott

Community Contributor

Quizzes Created: 1 | Total Attempts: 8,428

Questions: 8 | Attempts: 8,428 | Updated: Jul 4, 2024

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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 - 18x

Explanation
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.

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18
20
2.

7(2x-5)
- A.
  
  14x-35
- B.
  
  72x-5
- C.
  
  14x+5
- D.
  
  14x-5
Correct Answer
A. 14x-35

Explanation
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.

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8
1
3.

-6x(x+2)
- A.
  
  -6x+12
- B.
  
  -6x-12
- C.
  
  -6x²-12
- D.
  
  -6x²+12
Correct Answer
C. -6x²-12

Explanation
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.

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4
0
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
4 1
5.

Factorize 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)
6.

Factorize 24a²+10a

Correct Answer
2a(12a+5)
7.

Factorize 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).

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10
4 0
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:

12
4 2

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Current Version
Jul 04, 2024

Quiz Edited by
ProProfs Editorial Team
Jul 20, 2009

Quiz Created by
Ruthcallcott

Expanding And Factorising Test 1

Expand 2x(x-9)

7(2x-5)

-6x(x+2)

Factorise 12x+4

Factorize fully 2x²-4x

Factorize 24a²+10a

Factorize 6ab-18a²b

Factorise12kx+21k