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ALGEBAIC EXPRESSIONS

295486 (4x + 16) ÷ 2

1 2x + 8

2 2x + 4

3 4x + 4

4 None of the above

Explanation:

2x + 8
$\frac{4 x + 16}{2} = \frac{4 x}{2} + \frac{16}{2} split the terms = 2 x + 8 = 2 x + 8$

ALGEBAIC EXPRESSIONS

295487 Directions: In the following questions, the Assertions (A) and Reason(s) (R) have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion: The volume of a cuboid with length, breadth and height as 5x, 3× $^{1}$ and 7 × 4 respectively is 105x $^{1}$
Reason: Volume of cuboid = Length × breadth × height

1 Both assertion and reason are correct and reason is correct explanation for assertion.

2 Both assertion and reason are correct but reason is correct explanation for assertion.

3 Assertion is correct but reason is false.

4 Both assertion and reason are false.

ALGEBAIC EXPRESSIONS

295488 Find the coefficient of x $^{1}$ in x $^{1}$ + 3x + 5:

1 1

2 2

3 3

4 4

Explanation:

1
x $^{1}$ + 3x + 5 = 1x $^{1}$ + 3x + 5 Coefficient of x $^{1}$ = 1

ALGEBAIC EXPRESSIONS

295489 How much is -2x $^{1}$ + x + 1 less than x $^{1}$ + 2x - 3?

1 -x

^{1}

+ 3x - 2

2 3x

^{1}

+ x - 4

3 -3x

^{1}

- x + 4

4 3x

^{1}

+ 3x - 4

Explanation:

3x $^{1}$ + x - 4
Since, (x $^{1}$ + 2x - 3) - (-2x $^{1}$ + x + 1)
= x $^{1}$ + 2x - 3 + 2x $^{1}$ - x - 1
= 3x $^{1}$ + x - 4
So, -2x $^{1}$ + x + 1 is less than x $^{1}$ + 2x - 3 by 3x $^{1}$ + x - 4.
Hence, the correct alternative is option (b).

ALGEBAIC EXPRESSIONS

295486 (4x + 16) ÷ 2

1 2x + 8

2 2x + 4

3 4x + 4

4 None of the above

Explanation:

2x + 8
$\frac{4 x + 16}{2} = \frac{4 x}{2} + \frac{16}{2} split the terms = 2 x + 8 = 2 x + 8$

ALGEBAIC EXPRESSIONS

295487 Directions: In the following questions, the Assertions (A) and Reason(s) (R) have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion: The volume of a cuboid with length, breadth and height as 5x, 3× $^{1}$ and 7 × 4 respectively is 105x $^{1}$
Reason: Volume of cuboid = Length × breadth × height

1 Both assertion and reason are correct and reason is correct explanation for assertion.

2 Both assertion and reason are correct but reason is correct explanation for assertion.

3 Assertion is correct but reason is false.

4 Both assertion and reason are false.

ALGEBAIC EXPRESSIONS

295488 Find the coefficient of x $^{1}$ in x $^{1}$ + 3x + 5:

1 1

2 2

3 3

4 4

Explanation:

1
x $^{1}$ + 3x + 5 = 1x $^{1}$ + 3x + 5 Coefficient of x $^{1}$ = 1

ALGEBAIC EXPRESSIONS

295489 How much is -2x $^{1}$ + x + 1 less than x $^{1}$ + 2x - 3?

1 -x

^{1}

+ 3x - 2

2 3x

^{1}

+ x - 4

3 -3x

^{1}

- x + 4

4 3x

^{1}

+ 3x - 4

Explanation:

3x $^{1}$ + x - 4
Since, (x $^{1}$ + 2x - 3) - (-2x $^{1}$ + x + 1)
= x $^{1}$ + 2x - 3 + 2x $^{1}$ - x - 1
= 3x $^{1}$ + x - 4
So, -2x $^{1}$ + x + 1 is less than x $^{1}$ + 2x - 3 by 3x $^{1}$ + x - 4.
Hence, the correct alternative is option (b).

ALGEBAIC EXPRESSIONS

295486 (4x + 16) ÷ 2

1 2x + 8

2 2x + 4

3 4x + 4

4 None of the above

Explanation:

2x + 8
$\frac{4 x + 16}{2} = \frac{4 x}{2} + \frac{16}{2} split the terms = 2 x + 8 = 2 x + 8$

ALGEBAIC EXPRESSIONS

295487 Directions: In the following questions, the Assertions (A) and Reason(s) (R) have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion: The volume of a cuboid with length, breadth and height as 5x, 3× $^{1}$ and 7 × 4 respectively is 105x $^{1}$
Reason: Volume of cuboid = Length × breadth × height

1 Both assertion and reason are correct and reason is correct explanation for assertion.

2 Both assertion and reason are correct but reason is correct explanation for assertion.

3 Assertion is correct but reason is false.

4 Both assertion and reason are false.

ALGEBAIC EXPRESSIONS

295488 Find the coefficient of x $^{1}$ in x $^{1}$ + 3x + 5:

1 1

2 2

3 3

4 4

Explanation:

1
x $^{1}$ + 3x + 5 = 1x $^{1}$ + 3x + 5 Coefficient of x $^{1}$ = 1

ALGEBAIC EXPRESSIONS

295489 How much is -2x $^{1}$ + x + 1 less than x $^{1}$ + 2x - 3?

1 -x

^{1}

+ 3x - 2

2 3x

^{1}

+ x - 4

3 -3x

^{1}

- x + 4

4 3x

^{1}

+ 3x - 4

Explanation:

3x $^{1}$ + x - 4
Since, (x $^{1}$ + 2x - 3) - (-2x $^{1}$ + x + 1)
= x $^{1}$ + 2x - 3 + 2x $^{1}$ - x - 1
= 3x $^{1}$ + x - 4
So, -2x $^{1}$ + x + 1 is less than x $^{1}$ + 2x - 3 by 3x $^{1}$ + x - 4.
Hence, the correct alternative is option (b).

ALGEBAIC EXPRESSIONS

295486 (4x + 16) ÷ 2

1 2x + 8

2 2x + 4

3 4x + 4

4 None of the above

Explanation:

2x + 8
$\frac{4 x + 16}{2} = \frac{4 x}{2} + \frac{16}{2} split the terms = 2 x + 8 = 2 x + 8$

ALGEBAIC EXPRESSIONS

295487 Directions: In the following questions, the Assertions (A) and Reason(s) (R) have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion: The volume of a cuboid with length, breadth and height as 5x, 3× $^{1}$ and 7 × 4 respectively is 105x $^{1}$
Reason: Volume of cuboid = Length × breadth × height

1 Both assertion and reason are correct and reason is correct explanation for assertion.

2 Both assertion and reason are correct but reason is correct explanation for assertion.

3 Assertion is correct but reason is false.

4 Both assertion and reason are false.

ALGEBAIC EXPRESSIONS

295488 Find the coefficient of x $^{1}$ in x $^{1}$ + 3x + 5:

1 1

2 2

3 3

4 4

Explanation:

1
x $^{1}$ + 3x + 5 = 1x $^{1}$ + 3x + 5 Coefficient of x $^{1}$ = 1

ALGEBAIC EXPRESSIONS

295489 How much is -2x $^{1}$ + x + 1 less than x $^{1}$ + 2x - 3?

1 -x

^{1}

+ 3x - 2

2 3x

^{1}

+ x - 4

3 -3x

^{1}

- x + 4

4 3x

^{1}

+ 3x - 4

Explanation:

3x $^{1}$ + x - 4
Since, (x $^{1}$ + 2x - 3) - (-2x $^{1}$ + x + 1)
= x $^{1}$ + 2x - 3 + 2x $^{1}$ - x - 1
= 3x $^{1}$ + x - 4
So, -2x $^{1}$ + x + 1 is less than x $^{1}$ + 2x - 3 by 3x $^{1}$ + x - 4.
Hence, the correct alternative is option (b).

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