Evaluate 8a - b     if a = 10   and   b = 6.

6a - 3d
when a = 1, d = 2

In the expression below  the "d" labeled as?
4d-9

Let "p" represent the number of paper clips in a box.  If there are 76 boxes in a case, write an algebraic expression to show the total number of paper clips.

Write an expression for the product of 12 and a number.

Expand the expression using the distributive property. −4(2h+3)

Given Expression:
−4(2h+3)
Distributive law states that the each attribute inside a parenthesis have same right to access the attributes present outside the parenthesis.
Example : a(b + c) Yields ab + ac after distribution.
Hence, By applying the distribution law to −4(2h+3)  becomes:
−4(2h+3)
=
= (-8h) +(-12)
= -8h - 12.
Hence, From Distributive Law the expression −4(2h+3)  becomes -8h -12.

Use the distributive property to expand the expression: 3(t - 2)

Given Expression:
3(t - 2)
Since, it is in the form a(b+ c) we can apply Distributive Law which produces ab+ ac as a result.
*Similarly, by applying the Distributive Law to 3(t - 2) we get:
3(t - 2)
= () - ()
= 3t - 6.
Hence, the expression 3(t - 2) becomes 3t-6 after it's expansion.

Use the distributive property to expand the expression: 2(y + 5x)

Given Expression:
2(y + 5x)
Since, it is in the form of a(b+ c) we can apply distributive law which produces ab+ ac as  a result.
Then, By applying the Distributive Law to 2(y + 5x) we get:
2(y + 5x)
= () + ()
= 2y + 10x.
Hence, the expression 2(y + 5x) becomes 2y + 10x after it's expansion.

Expand the expression. 5(2 - 3y).

Given Expression:
5(2 - 3y).
Since, it is in the form a(b+ c) we can apply Distributive Law which produces ab + ac as a result.
Hence, By applying the Distributive Law  to 5(2 - 3y) we get:
5(2 - 3y)
= () - ()
= 10 - 15y.
Hence, the expression 5(2 - 3y) becomes 10 - 15y after it's expansion.

Expand the expression. 4(x + 4y - 8z)

Given Expression:
4(x + 4y - 8z)
Since, it is of the form a(b+ c+ d), we can apply Distributive Law which produces ab+ ac + ad as result.
Similarly, by applying the distributive law to 4(x + 4y - 8z):
4(x + 4y - 8z)
=() + () + ()
= 4x + 16y -32x.
Hence, the expression 4(x + 4y - 8z): becomes 4x + 16y -32z after it's expansion.

Expand the expression. 5(x - 3)

Given Expression :
5(x - 3)
Since, it is in the form a(b+ c), we can apply Distributive law, that produces ab + ac as a result.
Similarly, By applying the distributive law to 5(x - 3) becomes,
5(x - 3)
= () - ()
= 5x - 15.
Hence, the expression 5(x - 3) becomes 5x - 15 after it's expansion.

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

Given Expression:
-8(3a + 5b)
Since, it is in the form a(b+ c) we can apply distributive law which produces ab + ac as a result.
Similarly, by applying the Distributive Law, we get:
-8(3a + 5b)
=()+()
= (-24a) + (-40b)
= -24a - 40b.
Hence, the expression -8(3a + 5b) becomes -24a - 40b after it's expansion.

Expand the expression. 2(a + b)

Given Expression:
2(a+ b)
Since, it is in the form a(b+ c) we can apply distributive law which produces ab+ ac as a result.
Similarly, by applying the Distributive law We get:
2(a+ b)
=(2a) + (2b)
= 2a + 2b.
Hence, the expression 2(a+ b)becomes 2a + 2b after it's expansion. 

Expand the expression. 4(7x + 3).

Given Expression :
4(7x + 3)
Since, It is of the form a(b + c), we can apply distributive law which produces ab+ ac.
Then, By applying the distributive law to a  4(7x + 3), becomes
=  ( 47x) + (43)
= 28x +12.
Hence, the expression  4(7x + 3) becomes 28x + 12 after expansion. 

Expand the expression. 5(x + 2)

Given Expression :
5(x+2)
Then, we know distributive law is to be applied in order to remove the parentheses. Hence,
since, a(b + c) gives ab + ac. Similarly,
5(x+2) = 5x + (52)
= 5x + 10.
Hence, we can say that 5(x+2) = 5x + 10. 

Select the expression that contains only like terms.

We were asked to find the expression that contains only like terms. An expression is said to have only like terms if and only if it contains same variables with different coefficients.
let us consider options and verify the expression that it has only like terms.
Option 1 : 8t - 4t
The variables present in the expression is  only 't'. Hence, we can say that it is the required                          expression that has only like terms.
Hence, We can say that 8t-4t is the required expression that has only like terms.