Question
Simplify the expression: 7 + 3(1 - 2x)
- 21 - 6x
- 10 - 2x
- 10 - 20x
- 10 - 6x
Hint:
Apply Distributive Law to reduce the expression and then reduce the like terms.
The correct answer is: 10 - 6x
Given Expression:
7 + 3(1 - 2x)
>>>First step is to evaluate 3(1 - 2x). Since, it is in the form of a(b+ c) we can apply Distributive law which produces ab+ ac as a result. Hence, By applying the Distributive Law to 3(1 - 2x) yields:
3(1 - 2x)
= 
= (3) + (-6x)
= 3-6x.
hence, 3(1-2x) becomes 3-6x after it's expansion.
>>> second step is to reduce the expression by reducing like terms:
7 + 3(1 - 2x)
= 7 + 3 -6x
= 10 -6x.
* Hence, the expression evaluation of 7 + 3(1 - 2x) yields 10 - 6x.
In Mathematics, general simplification of the expression is evaluated using the properties of the variables.
** Like terms can perform any operation defined in the expression.
** Unlike terms are remained unevaluated after the evaluation of the like terms present in the expression.
** Hence, Simplification of the expression should follow above rules.
Example to show expression evaluation: a + a = 2a ; 2a-a = a ; are the correct evaluation of the like terms where as
a-b = a-b is the example for evaluation for the evaluation of the unlike terms.
Related Questions to study
Add 2(x + 8) + 6x
Given Expression:
2(x + 8) + 6x
>> First step is to evaluate 2(x + 8). I t is in the form a(b+ c) then, we can apply Distributive Law which produces ab+ ac. Similarly, By applying the Distributive Law to 2(x + 8) :
2(x + 8)
= 
= 8x + 16.
Hence, 2(x+ 8) ~~ 8x+ 16.
>>> Second step is to reduce the like terms.
2(x + 8) + 6x
= 2x + 16 + 6x
= 8x + 16.
* Hence, the expression evaluation of 2(x + 8) + 6x becomes 8x +16.
Add 2(x + 8) + 6x
Given Expression:
2(x + 8) + 6x
>> First step is to evaluate 2(x + 8). I t is in the form a(b+ c) then, we can apply Distributive Law which produces ab+ ac. Similarly, By applying the Distributive Law to 2(x + 8) :
2(x + 8)
=
= 8x + 16.
Hence, 2(x+ 8) ~~ 8x+ 16.
>>> Second step is to reduce the like terms.
2(x + 8) + 6x
= 2x + 16 + 6x
= 8x + 16.
* Hence, the expression evaluation of 2(x + 8) + 6x becomes 8x +16.
Total terms are in the expression below expression is? 5a + 7a – 8
Given Expression:
5a + 7a – 8
In the Given expression we can see that there are 3 terms which are differentiated by 2 operators in between.
* The terms present in the given expression are 5a, 7a, -8.
Hence, the given Expression has exactly 3 terms in it.
Total terms are in the expression below expression is? 5a + 7a – 8
Given Expression:
5a + 7a – 8
In the Given expression we can see that there are 3 terms which are differentiated by 2 operators in between.
* The terms present in the given expression are 5a, 7a, -8.
Hence, the given Expression has exactly 3 terms in it.
Use the distributive property to expand the expression. 2(−2b+6)
Given Expression:
2(−2b+6)
Since, it is in the form a(b+ c) we can apply Distribution Law which produces ab + ac as result.
Similarly, By applying the distributive law to 2(−2b+6) :
2(−2b+6)
= 
= -4b +12.
Hence, The expression 2(−2b+6) yields -4b +12 after it's expansion.
Use the distributive property to expand the expression. 2(−2b+6)
Given Expression:
2(−2b+6)
Since, it is in the form a(b+ c) we can apply Distribution Law which produces ab + ac as result.
Similarly, By applying the distributive law to 2(−2b+6) :
2(−2b+6)
=
= -4b +12.
Hence, The expression 2(−2b+6) yields -4b +12 after it's expansion.
8y + 12 - 2z
for y = 4 and z = 2
8y + 12 - 2z
for y = 4 and z = 2
Identify the following is equivalent to 5(2x+6)
Given Expression:
5(2x+6)
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 5(2x+6) :
5(2x+6)
= 
= 10x + 30.
Hence, The expression 5(2x+6) yields 10x +30 after it's expansion.
Identify the following is equivalent to 5(2x+6)
Given Expression:
5(2x+6)
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 5(2x+6) :
5(2x+6)
=
= 10x + 30.
Hence, The expression 5(2x+6) yields 10x +30 after it's expansion.
There were 47 frogs in a pond. f of the frogs hopped away. Choose the expression that represents this.
There were 47 frogs in a pond. f of the frogs hopped away. Choose the expression that represents this.
Evaluate the expression. Let g = 3 h = 9
4h + 2g + 4
Evaluate the expression. Let g = 3 h = 9
4h + 2g + 4
Simplify the expression 11(9+d)
Given Expression:
11(9+d)
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 11(9+d) :
11(9+d)
= 
= 99 + 11d.
Hence, the expression 11(9+d) yields 99 + 11d after it's expansion.
Simplify the expression 11(9+d)
Given Expression:
11(9+d)
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 11(9+d) :
11(9+d)
=
= 99 + 11d.
Hence, the expression 11(9+d) yields 99 + 11d after it's expansion.
The expression 7h + 1.50d can be used to find the total earnings after h hours and d deliveries have been made. Sally make after working 10 hours and making 3 deliveries total is ?
The expression 7h + 1.50d can be used to find the total earnings after h hours and d deliveries have been made. Sally make after working 10 hours and making 3 deliveries total is ?
Use the distributive property to simplify the expression below:
−2(6n+3)
Given Expression:
−2(6n+3)
Distributive law states that every attribute inside the parenthesis can have same access of the attributes present outside the parenthesis.
Example: a(b+ c) yields ab + ac.
Hence, By applying Distributive Law to −2(6n+3) :
−2(6n+3)
=
=(-12n) + (-6)
= -12n - 6.
Hence, from distributive law −2(6n+3) yields -12n - 6.
Use the distributive property to simplify the expression below:
−2(6n+3)
Given Expression:
−2(6n+3)
Distributive law states that every attribute inside the parenthesis can have same access of the attributes present outside the parenthesis.
Example: a(b+ c) yields ab + ac.
Hence, By applying Distributive Law to −2(6n+3) :
−2(6n+3)
=
=(-12n) + (-6)
= -12n - 6.
Hence, from distributive law −2(6n+3) yields -12n - 6.
