# Can You Factorise The Following Equation: Trivia Quiz!

Approved & Edited by ProProfs Editorial Team
The editorial team at ProProfs Quizzes consists of a select group of subject experts, trivia writers, and quiz masters who have authored over 10,000 quizzes taken by more than 100 million users. This team includes our in-house seasoned quiz moderators and subject matter experts. Our editorial experts, spread across the world, are rigorously trained using our comprehensive guidelines to ensure that you receive the highest quality quizzes.
| By Sajones7668
S
Sajones7668
Community Contributor
Quizzes Created: 12 | Total Attempts: 5,146
Questions: 10 | Attempts: 902

Settings

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!

• 1.

### Factor the Greatest Common Factor:

• A.

5x^2 (5x - 7xy)

• B.

5x^2 (2x - 7y)

• C.

5x (2x^2 - 7xy)

• D.

5x^2y (2x - 7)

B. 5x^2 (2x - 7y)
Explanation
The given expression can be factored by finding the greatest common factor (GCF). The GCF of the terms in the expression is 5x^2. By factoring out the GCF, we get 5x^2 multiplied by the remaining terms inside the parentheses, which are (2x - 7y). Therefore, the correct answer is 5x^2 (2x - 7y).

Rate this question:

• 2.

### Factor the trinomial:

• A.

(y - 5)(y + 7)

• B.

(y - 5)(y - 7)

• C.

(y - 2)(y + 1)

• D.

(y + 5)(y - 7)

D. (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).

Rate this question:

• 3.

### Factor using the Difference of Two Squares:

• A.

(4x - 3y)(x + 3y)

• B.

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

• C.

(2x + 3)(2x - 3)

• D.

(4x + y)(x - 9)

B. (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).

Rate this question:

• 4.

### Factor Completely:

• A.

(x + 10)(x + 10)

• B.

2(x + 20)(x + 5)

• C.

4(x + 10)(x + 10)

• D.

4(x + 2)(x + 10)

C. 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).

Rate this question:

• 5.

### Factor using slide and divide:

• A.

(2x - 1)(x + 7)

• B.

(2x + 1)(x - 7)

• C.

(x + 14)(x - 1)

• D.

2(x - 7)(x + 1)

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).

Rate this question:

• 6.

• A.

A

• B.

B

• C.

C

• D.

D

C. C
• 7.

• A.

A

• B.

B

• C.

C

• D.

D

D. D
• 8.

• A.

A

• B.

B

• C.

C

• D.

D

C. C
• 9.

• A.

A

• B.

B

• C.

C

• D.

D

B. 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?

• A.

\$384.62

• B.

\$650

• C.

\$700

• D.

\$822.15

C. \$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.

Rate this question:

Quiz Review Timeline +

Our quizzes are rigorously reviewed, monitored and continuously updated by our expert board to maintain accuracy, relevance, and timeliness.

• Current Version
• Mar 20, 2023
Quiz Edited by
ProProfs Editorial Team
• Jun 18, 2013
Quiz Created by
Sajones7668

Related Topics