Question

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Answer 1

6. 4x
7. 3y
8. 1/2 x (2y-9)
9. 7/2x + 2

Answer 2

Answer:

6. 4x

7. 3y

8. y - 4.5

9. 7/2x + 2

Step-by-step explanation:

6.

x + x + x + x

Combine like terms by adding

4x

7.

4y - y

Combine like terms by subtracting

3y

8.

7y - 4.5 - 6y

Combine like terms by subtracting

1y - 4.5

y - 4.5

4.5 does not have the same variable as the other term in the expression, therefore we cannot do anything further to it

9.

4x + 2 - 1/2x

Combine like terms by subtracting

One like term is a fraction so we must convert the whole number into a fraction with the same denominator

4/1x = ?/2

Cross multiply

4 × 2 = 1x × ?

8 = 2x

This is our new fraction: 8/2x because 4x = 8/2x

Substitute this new fraction into the expression

8/2x + 2 - 1/2x

Combine like terms by subtracting the numerators

7/2x + 2

Neither are like terms so they cannot be added together