# Quiz On Quadratic Equations For Class 10 Chapter 4

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Hey, class 10th students, do you think your algebra is good? If yes, take up this quiz on quadratic equations created for class 10, consisting of Chapter 4 questions and answers. A quadratic equation can be arranged in a standard form ax^{2}+bx+c=0, where x represents an unknown number and a,b, and c represents known numbers. Here, you'll be asked questions based on factors and factorization. If you want to try this quiz and check how sharp your memory is, go ahead then. Play it now.

• 1.

### The excluded value(s) for y2 + y + 5 / y + 4 is (are) ___.

• A.

Y = -4

• B.

Y = 4

• C.

Y = 0 ; y = -1

• D.

Y = 5 and y = 1

A. Y = -4
Explanation
The excluded value for y in the expression y^2 + y + 5 / y + 4 is y = -4. This is because when y = -4, the denominator of the expression becomes 0, which is undefined. Therefore, y = -4 is excluded from the possible values for y in this expression.

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• 2.

### The greatest common factor of x5y and x4 y2 is ___.

• A.

X5y2

• B.

X4y

• C.

Xy

• D.

X2y

B. X4y
Explanation
The greatest common factor of x^5y and x^4y^2 is x^4y because it is the highest power of x and y that both terms have in common.

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• 3.

### The factorization of 14a + 7b is ___

• A.

2(7a + 3b)

• B.

7a(2 + b)

• C.

7(2a + b)

• D.

14(a + b)

C. 7(2a + b)
Explanation
The given expression, 14a + 7b, can be factorized by taking out the common factor of 7. This leaves us with 7(2a + b), which is the correct answer.

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• 4.

### Find the trinomial product of (4x + 3) (-2x - 5) : ___.

• A.

12x2 - 26x + 15

• B.

-8x2 + 14x - 15

• C.

-8x2 - 26x - 15

• D.

6x2 - 14x - 15

C. -8x2 - 26x - 15
Explanation
The given trinomial product can be found by multiplying the first terms of both binomials (4x and -2x), then multiplying the outer terms (-5 and 4x), and finally multiplying the last terms (3 and -5). The sum of these three products gives us the trinomial product. In this case, the trinomial product is -8x^2 - 26x - 15.

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• 5.

### Find the product of (4a + 3) (4a - 3) : ___.

• A.

12a2 - 9

• B.

8a2 + 9

• C.

16a2 - 9

• D.

16a2 + 2a - 9

C. 16a2 - 9
Explanation
The given expression is a product of two binomials. To find the product, we can use the formula for the difference of squares, which states that (a + b)(a - b) = a^2 - b^2. In this case, a = 4a and b = 3. Substituting these values into the formula, we get (4a + 3)(4a - 3) = (4a)^2 - 3^2 = 16a^2 - 9. Therefore, the correct answer is 16a^2 - 9.

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• 6.

### The binomial factors of 2x2 + 7x + 3 are ___.

• A.

(x + 3) (2x + 1)

• B.

(2x + 3) (x + 1)

• C.

(x + 3) (2x - 1)

• D.

(2x - 1) (x - 3)

A. (x + 3) (2x + 1)
Explanation
The given expression is a quadratic trinomial. To factorize it, we need to find two binomial factors that when multiplied together, give us the original expression. The correct answer, (x + 3) (2x + 1), is obtained by factoring the trinomial using the distributive property.

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• 7.

### Factor 81n2 - 100 : ___.

• A.

(9n - 10)2

• B.

(81n + 10) (n - 10)

• C.

(9n - 10) (9n + 10)

• D.

(9n + 10)2

C. (9n - 10) (9n + 10)
Explanation
The given expression can be factored using the difference of squares formula, which states that a^2 - b^2 = (a + b)(a - b). In this case, a = 9n and b = 10. Therefore, the expression can be factored as (9n - 10)(9n + 10).

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• 8.

### The factors of 2 - 98n2 are ___.

• A.

-2(7n - 1) (7n + 1)

• B.

2(1 - 7n) (1 + 7n)

• C.

2(7n - 1)2

• D.

-2(49n2 - 1)

A. -2(7n - 1) (7n + 1)
Explanation
The given expression can be factored as -2(7n - 1) (7n + 1). This can be determined by applying the distributive property and factoring out the common factor of -2 from each term.

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• 9.

### The factors of 16y3 + 68y2 + 42y are ___.

• A.

2(4y + 7) (2y + 3)

• B.

(4y2 + 14y) (4y + 3)

• C.

4y(2y + 5) (2y + 2)

• D.

2y(2y + 7) (4y + 3)

D. 2y(2y + 7) (4y + 3)
Explanation
The given expression can be factored as 2y(2y + 7) (4y + 3). This can be found by looking for common factors and using the distributive property to simplify the expression.

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• 10.

### The formula for area is A = lw. If a rectangle has an area of 2x2 + x - 3, its dimensions are ___.

• A.

l: 2x - 1 w: x + 3

• B.

L: 2x - 3 w: x + 1

• C.

l: 2x + 1 w: x - 3

• D.

l: 2x + 3 w: x - 1

D. l: 2x + 3 w: x - 1
Explanation
The correct dimensions of the rectangle are l: 2x + 3 and w: x - 1. This can be determined by substituting these values into the formula for area, A = lw, and simplifying.

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• 11.

### A person purchased 5k + 2 items for a total cost of 35k2 + 29k + 6. The average cost per item was ___.

• A.

6k + 2

• B.

6k + 3

• C.

7k + 2

• D.

7k + 3

D. 7k + 3
Explanation
The person purchased 5k + 2 items for a total cost of 35k2 + 29k + 6. To find the average cost per item, we divide the total cost by the number of items. Therefore, the average cost per item is (35k2 + 29k + 6)/(5k + 2). Simplifying this expression, we get 7k + 3.

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• 12.
• A.

A

• B.

B

• C.

C

• D.

D

D. D
• 13.

### The indicated sum of y/3 + 5y/3 - 4y/3 is _________>

• A.

Y

• B.

2y/3

• C.

Y/3

• D.

10y/3

B. 2y/3
Explanation
The indicated sum of y/3 + 5y/3 - 4y/3 simplifies to (1/3)y + (5/3)y - (4/3)y, which can be further simplified to (6/3)y - (4/3)y. Combining like terms, we get (2/3)y, which is equivalent to 2y/3.

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• 14.

### The indicated quotient of ( - 1/3xy) ÷ (-3xy) is ____________.

• A.

1/3

• B.

1

• C.

- 1/9xy

• D.

1/ 9x2y2

D. 1/ 9x2y2
Explanation
The given expression is a quotient of two negative terms, (-1/3xy) and (-3xy). When dividing negative terms, the negative signs cancel out, resulting in a positive quotient. The expression simplifies to 1/3xy divided by 3xy, which can be further simplified to 1/9x^2y^2. Therefore, the correct answer is 1/9x^2y^2.

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• 15.
• A.

A

• B.

B

• C.

C

• D.

D

D. D

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• Current Version
• Mar 31, 2023
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• Mar 21, 2022
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