Answer:
6. 4x
7. 3y
8. y - 4.5
9. 7/2x + 2
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