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Simplify. 3/4−4z+5/4z−1/2+1/2z Enter your answer in the box.

User Kyuwon
by
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2 Answers

7 votes
Combine like terms:
3/4-1/2=1/4
-4z+5/4z+1/2z=-2 1/4z
so your answer is -2 1/4z+1/4
User Johnmerm
by
7.7k points
2 votes

Answer: Our simplified form is


(1)/(2)-(9)/(4)z

Explanation:

Since we have given that


(3)/(4)-4z+(5)/(4)z-(1)/(2)+(1)/(2)z

Gather the like terms:


(3)/(4)-4z+(5)/(4)z-(1)/(2)+(1)/(2)z\\\\=(3)/(4)-(1)/(2)-4z+(5)/(4)z+(1)/(2)z\\\\=(6-4)/(4)+(-16z+5z+2z)/(4)\\\\=(2)/(4)-(9)/(4)z\\\\=(1)/(2)-(9)/(4)z

Hence, our simplified form is


(1)/(2)-(9)/(4)z


User Maisie
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9.1k points