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 Seixeiroda
S
Seixeiroda
Community Contributor
Quizzes Created: 41 | Total Attempts: 25,291
Questions: 6 | Attempts: 220

Settings

Complete the following questions

• 1.

### Expand and simplify (3x + 4)(2x – 2)

• A.

6x^2 + 2x – 8

• B.

6x^2–14x–8

• C.

6x^2+14x+8

• D.

6x^2–8

A. 6x^2 + 2x – 8
Explanation
The given expression is a product of two binomials. To expand and simplify the expression, we can use the distributive property. By multiplying each term in the first binomial by each term in the second binomial, we get: (3x * 2x) + (3x * -2) + (4 * 2x) + (4 * -2). Simplifying this further, we get: 6x^2 - 6x + 8x - 8. Combining like terms, we have: 6x^2 + 2x - 8. Therefore, the answer is 6x^2 + 2x - 8.

Rate this question:

• 2.

### Evaluate 3(2x+3)2 for x = –2

• A.

–93

• B.

–69

• C.

3

• D.

147

C. 3
Explanation
To evaluate the expression 3(2x+3)2 for x = –2, we substitute x = –2 into the given expression. Plugging in x = –2, we have 3(2(-2)+3)2. Simplifying the expression within the parentheses, we get 3(-4+3)2. Further simplifying, we have 3(-1)2. Squaring -1 gives us 1, so the expression becomes 3(1), which is equal to 3. Therefore, the correct answer is 3.

Rate this question:

• 3.

### Which expression represents the area of the triangle?

• A.

(x^2+5x+3) / 2

• B.

(2x^2+7x–3) / 2

• C.

(2x^2+6x–3) / 2

• D.

(2x^2+5x–3)/2

D. (2x^2+5x–3)/2
Explanation
The expression (2x^2+5x–3)/2 represents the area of the triangle. It is derived from the formula for the area of a triangle, which is base multiplied by height divided by 2. In this case, the base is represented by 2x^2+5x–3 and the height is 2. Dividing the product of the base and height by 2 gives us the expression (2x^2+5x–3)/2 as the area of the triangle.

Rate this question:

• 4.

### A pendant has a radius of x + 10mm.  Which expression describes the area of the pendant?

• A.

πx^2+20x+100

• B.

2πx + 20π

• C.

πx^2+20πx+100π

• D.

100πx^2

C. πx^2+20πx+100π
Explanation
The expression πx^2+20πx+100π describes the area of the pendant. The first term, πx^2, represents the area of the circular part of the pendant with radius x. The second term, 20πx, represents the area of the curved part of the pendant with length x. The third term, 100π, represents the area of the circular part of the pendant with radius 10mm. Adding all these terms together gives us the total area of the pendant.

Rate this question:

• 5.

### Which describes the area of the figure as a simplified polynomial?

• A.

–x^2+8x+1

• B.

5x^2+3

• C.

5x^2+8x+3

• D.

8x^2+8x

B. 5x^2+3
Explanation
The correct answer, 5x^2+3, is a simplified polynomial that describes the area of the figure. This polynomial represents a quadratic equation with a leading coefficient of 5 and a constant term of 3. It is the only option that does not include any additional terms or variables, making it the simplest representation of the area of the figure.

Rate this question:

• 6.

### A fish pond has a diameter of x metres.  Which expression describes the area of the fish pond?

• A.

πx^2

• B.

(πx^2)/4

• C.

(πx^2)/2

• D.

4πx^2

B. (πx^2)/4
Explanation
The expression (πx^2)/4 describes the area of the fish pond. This can be determined by using the formula for the area of a circle, which is πr^2, where r is the radius of the circle. Since the diameter of the fish pond is x meters, the radius would be x/2. Substituting this into the formula gives us (π(x/2)^2), which simplifies to (πx^2)/4. Therefore, this expression represents the area of the fish pond.

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
• Aug 18, 2023
Quiz Edited by
ProProfs Editorial Team
• Sep 23, 2009
Quiz Created by
Seixeiroda