Simplify each expression.
1.
2z - 3y - 8z + y
2.
9 - 7t + 1 + 4t
3. For the summer, Tia buys 3 T-shirts and 2 pairs of shorts. Her brother buys 4 T-shirts and 1 pair of shorts. Define and use variables to represent the total cost.
I have no idea how to do this! Please help!
1.
2z - 3y - 8z + y
Combine like terms:
2z - 8z - 3y + y
-6z - 2y
Do the second problem the same way.
3. This problem isn't clear. Do we assume that all T-shirts cost the same? Do all shorts cost the same? Please clarify. You may need to ask your teacher about this one.
so is:
#2.
10 - 3t
Yay! You're right! :-)
Just thumb me up guys :)
No problem! Let's break each expression down step by step.
1. 2z - 3y - 8z + y
To simplify this expression, we can combine like terms. Like terms are terms that have the same variable raised to the same power.
First, let's group the terms with the same variable together:
(2z - 8z) + (-3y + y)
Now we can combine the like terms separately:
-6z + (-2y)
The simplified expression is -6z - 2y.
2. 9 - 7t + 1 + 4t
Again, let's group the terms with the same variable together:
(9 + 1) + (-7t + 4t)
Combine the like terms separately:
10 - 3t
The simplified expression is 10 - 3t.
3. To define and use variables to represent the total cost for Tia and her brother's purchases, we can assign variables to the cost of T-shirts and shorts. Let's say T represents the cost of a T-shirt and S represents the cost of a pair of shorts.
Tia buys 3 T-shirts and 2 pairs of shorts, so her total cost can be represented as: 3T + 2S.
Her brother buys 4 T-shirts and 1 pair of shorts, so his total cost can be represented as: 4T + S.
To find the combined total cost, we can add both expressions together:
Total cost = (3T + 2S) + (4T + S)
Simplifying this further, we can combine like terms:
Total cost = 3T + 2S + 4T + S
Now, combine the like terms:
Total cost = 7T + 3S
So the combined total cost for Tia and her brother's purchases is 7T + 3S.
I hope this helps! Let me know if you have any more questions.