Question

Consider the expression 2 3 (14x − 3) − 3x( 4 5 + 5). Which statements are true about simplifying this expression? Check all that apply. Using the distributive property, the Two-thirds would be multiplied to 14x and to –3. Combining Four-fifths + 5 can be done before multiplying it by 3x. Using the distributive property, 3x times Four-fifths is subtracted, but the 3x times 5 is added. Combining 14x – 3 can be done before multiplying by Two-thirds. Subtracting 3x is the same as adding –3x.

Answer 1

To simplify the expression, the distributive property is used correctly, addition before multiplication is applied, and subtraction of 3x is equivalent to adding -3x.

Step-by-step explanation:

When simplifying the given expression 2/3 (14x − 3) − 3x(4/5 + 5), several statements need to be considered. Firstly, using the distributive property, the fraction 2/3 would indeed be multiplied by both 14x and -3. Secondly, the terms 4/5 + 5 are indeed combinable before multiplying by 3x, which is an application of the order of operations where addition comes before multiplication. Thirdly, when you use the distributive property with 3x across (4/5 + 5), both terms are affected by multiplication, so 3x times 4/5 is added and 3x times 5 is also added since they are both products of two numbers. Furthermore, the expression 14x − 3 cannot be combined before multiplication by 2/3, as they are not like terms. Lastly, subtracting 3x is indeed the same as adding -3x, which is a basic property in algebra for handling the addition and subtraction of variables.

Answer 2

1. using the distributive property, the two-thirds would be multiplied to 14x and to –3. 2. combining four-fifths + 5 can be done before multiplying it by 3x. 3. subtracting 3x is the same as adding –3x. (A, B, & E)

Step-by-step explanation:

just finished this lesson lol