Distributivity

Q.

If Δ is an operation such that for integers a, b and c we have a Δ b Δ c = (ab + bc) – (b + c) × c, then find the value of (25) Δ (25) Δ (-5).

1. 400
2. 600
3. -400
4. -600

Q. Find the product, using suitable properties.
$7\times (50-2)$

1. $336$
2. $-348$
3. $348$
4. $none$

Q.

Expansion and simplification of $8(3h-4)+5(h-2)$ gives :

1. $24h-37$

2. $36-4h$

3. $29h-42$

4. $38+42h$

Q.

[5-5 X 9 X {(-36) /(-3 X 3 )}]3+1

Q.

Simplification of $\frac{(p+a)}{5}=3p$ yields

1. $12\frac{p}{a}$

2. $a+\frac{p}{5}$

3. $a=15p$

4. $a=14p$

Q. Expansion and simplification of 8(3h - 4) + 5(h - 2) gives :

1. 24h - 37
2. 36 - 4h
3. 29h - 42
4. 38 + 42h

Q. Find the value of:
(i) $(-6)/\frac{2}{3}$
(ii) $\frac{-4}{5}/2$
(iii) $\frac{3}{13}/\left(\frac{-4}{65}\right)$
(iv) $\frac{-2}{8}/\frac{-2}{8}$

Q. If A=(x2+y2=16)and B=(9x2+25y2=225)then n(AintersectionB)

Q.

Which of the following are correct?

1. a (b+c) = b a + a c

2. b (a+c) = b a + b c

3. (a+c) b = a b + c b

4. All of these

Q. Expansion of $-8(3a+5b)$ yields

1. $-24a-40b$
2. $20a-30b$
3. $-24a-41b$
4. $-22a+80b$

Q. Expansion of $-8(3a+5b)$ yields

1. $-24a-40b$
2. $-24a-41b$
3. $20a-30b$
4. $-22a+80b$

Q. Simplification of $\frac{(p+a)}{5}=3p$ yields

1. $a=14p$
2. $a=15p$
3. $a=\frac{p}{5}$
4. $12\times \frac{p}{a}=5$

Q.

$\text{Using an identity, evaluate}166\times 94.$

1. 14551

2. 14562

3. 13552

4. 15604

Q. Simplify $8(3h-4)+5(h-2)$.

1. $36-4h$
2. $29h-42$
3. $38+42h$
4. $24h-37$

Q.

Which of the following is/are correct?

1. a (b+c) = b a + a c

2. b (a+c) = b a + b c

3. (a+c) b = a b + c b

4. All of these

Q.

What is (a + b)/c if a = 3, b = 2 and c = 5?

1. 1.1

2. 2.2

3. 2.4

4. 3.3

Q. The suitable property applied to evaluate 1763 × (-2) + (-1763)×98 is a) Commutative b) associative c) distributive d) closure

Q. WHAT IS THE UNDER ROOT OF 169

Q. Multiply:
$\frac{27}{28}$ and $-14$

Q.

Which of the following correctly explains distributive law?

1. All of these

2. $a\times (b+c)=b\times a+a\times c$

3. $b\times (a+c)=b\times a+b\times c$

4. $(a+c)\times b=a\times b+c\times b$

Q. Evaluate :
$\frac{-2}{5}+\frac{3}{5}+\frac{-1}{5}$

Q. Multiply:
$35$ and $\frac{-18}{25}$