Can You Factorise The Following Equation: Trivia Quiz!

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| By Sajones7668

Sajones7668

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1/10 Questions

Factor the Greatest Common Factor:
- 5x^2 (5x - 7xy)
- 5x^2 (2x - 7y)
- 5x (2x^2 - 7xy)
- 5x^2y (2x - 7)

About This Quiz

Can you factorize the given equation? There are many of us that have a huge problem when it comes to mathematical problems, and the quiz below is specifically designed to help them when it comes to all problems surrounding factorization problems. Give it a try and take a look at the other math-related quizzes on this page. All the best!

Can You Factorise The Following Equation: Trivia Quiz! - Quiz

2.

Factor the trinomial:
- (y - 5)(y + 7)
- (y - 5)(y - 7)
- (y - 2)(y + 1)
- (y + 5)(y - 7)
Correct Answer

A. (y + 5)(y - 7)

Explanation

The given trinomial can be factored as (y + 5)(y - 7) by using the FOIL method. FOIL stands for First, Outer, Inner, Last, which means multiplying the first terms, then the outer terms, then the inner terms, and finally the last terms. In this case, the first terms are y and y, the outer terms are y and -7, the inner terms are 5 and y, and the last terms are 5 and -7. When simplified, the product of these terms results in y^2 - 7y + 5y - 35, which simplifies further to y^2 - 2y - 35. Therefore, the correct answer is (y + 5)(y - 7).

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3.

Factor using the Difference of Two Squares:
- (4x - 3y)(x + 3y)
- (2x + 3y)(2x - 3y)
- (2x + 3)(2x - 3)
- (4x + y)(x - 9)
Correct Answer

A. (2x + 3y)(2x - 3y)

Explanation

The given expression can be factored using the difference of two squares formula, which states that a^2 - b^2 can be factored as (a + b)(a - b). In this case, we have (2x)^2 - (3y)^2, which can be rewritten as (2x + 3y)(2x - 3y). Therefore, the correct answer is (2x + 3y)(2x - 3y).

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4.

Factor Completely:
- (x + 10)(x + 10)
- 2(x + 20)(x + 5)
- 4(x + 10)(x + 10)
- 4(x + 2)(x + 10)
Correct Answer

A. 4(x + 10)(x + 10)

Explanation

The given expression can be factored completely as 4(x + 10)(x + 10). This is because both terms inside the parentheses are the same, which means they can be combined and written as (x + 10)(x + 10). Additionally, the coefficient 4 in front of the parentheses can be distributed to both terms inside, resulting in 4(x + 10)(x + 10).

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5.

Factor using slide and divide:
- (2x - 1)(x + 7)
- (2x + 1)(x - 7)
- (x + 14)(x - 1)
- 2(x - 7)(x + 1)
Correct Answer

A. (2x - 1)(x + 7)

Explanation

The given expression can be factored using the slide and divide method. By multiplying the first terms of each binomial and the last terms of each binomial, we get (2x * x) + (2x * 7) - (1 * x) - (1 * 7), which simplifies to 2x^2 + 14x - x - 7. Combining like terms, we get 2x^2 + 13x - 7. Since this does not match any of the given answer choices, the correct answer is (2x - 1)(x + 7).

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6.

Simplify/Reduce: Answer Choices: A. B. C. D.
- A
- B
- C
- D
Correct Answer

A. C
7.

Simplify/Reduce: . Answer Choices: A. B. C. D.
- A
- B
- C
- D
Correct Answer

A. D
8.

Multiply Answer Choices: A. B. C. D.
- A
- B
- C
- D
Correct Answer

A. C
9.

Subtract: Answer Choices: A. B. C. D.
- A
- B
- C
- D
Correct Answer

A. B
10.

Exchange Rates Robyn spent two months traveling in New Zealand. The day she arrived the exchange rate was 1.4 New Zealand dollars per every 1 U.S. dollar. If she exchanged $500 U.S. dollars when she arrived, how much in New Zealand dollars did she receive?
- $384.62
- $650
- $700
- $822.15
Correct Answer

A. $700

Explanation

Robyn exchanged $500 U.S. dollars when she arrived in New Zealand. The exchange rate was 1.4 New Zealand dollars per every 1 U.S. dollar. To find out how much she received in New Zealand dollars, we need to multiply the amount she exchanged by the exchange rate. Therefore, $500 multiplied by 1.4 equals $700. Hence, Robyn received $700 in New Zealand dollars.

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