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For the following questions, please select the answer that most correctly completes the equation.
Ones digit:
Tens digit: (leave the two at the tens, carry the one to the hundreds digit)
Hundreds digit: , add the one from the tens digit, so you get 5 + 1 = 6
Thousands digit:
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Find the sum.
First add the digits in the ones colume, this would be . Make sure to carry the 1 from the 17 to the tens colume.
Then add the digits in the tens colume, this would be .
Lastly, add the digits in the hundrends colume, this would be
Therefore the result is as follows:
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If I had in the bank and deposited an additonal
today, how much do I have in total?
1. Add the ones places:
2. Add the tens places:
***don't forget to put the 3 down and carry the one to the hundreds place***
3. Add the hundreds place:
This makes your total:
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What is the solution of the above operation?
We can see this because if we had 5 (represented by ) and add another 2 objects (represented by
) we should get 7 objects (
and
) total.
We have 7 objects total!
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What is the solution of the above equation?
If x represents objects.
For 5:
For 6:
We can see that 11 objects result.
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Roman is ordering uniforms for the tennis team. He knows how many people are on the team and how many uniforms come in each box. Which equation can be used to solve for how many boxes Roman should order?
The total number of uniforms needed equals the number of students divided by the number of uniforms per box.
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Dr. Jones charges a $50 flat fee for every patient. He also charges his patients $40 for every 10 minutes that he spends with him. If Mrs. Smith had an appointment that lasted 30 minutes, how much did she have to pay Dr. Jones?
We can express Dr. Jones's rate in a linear equation:
Since Mrs. Smith's appointment lasted 30 minutes, we have 3 10-minute intervals. Then, we can plug in that number into our above equation to find out how much the appointment cost.
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Jimmy had in lunch money for school. Everyday he spends
for food and drinks. What is the expression that shows how much money will he have after each day, where
is the days, and
is the total amount of money left?
Jimmy starts off with $60, and spends $3.50 everyday.
This means that he will have $56.50 after day 1, $53 after day 2, and so forth.
Only one equation satisfies this scenario. The rest are irrelevant.
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What is the solution of that satisfies both equations?
Reduce the second system by dividing by 3.
Second Equation:
We this by 3.
Then we subtract the first equation from our new equation.
First Equation:
First Equation - Second Equation:
Left Hand Side:
Right Hand Side:
Our result is:
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What is the solution of for the systems of equations?
We add the two systems of equations:
For the Left Hand Side:
For the Right Hand Side:
So our resulting equation is:
Divide both sides by 10:
For the Left Hand Side:
For the Right Hand Side:
Our result is:
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What is the solution of for the two systems?
We first multiply the second equation by 4.
So our resulting equation is:
Then we subtract the first equation from the second new equation.
Left Hand Side:
Right Hand Side:
Resulting Equation:
We divide both sides by -15
Left Hand Side:
Right Hand Side:
Our result is:
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What is the solution of for the two systems of equations?
We first add both systems of equations.
Left Hand Side:
Right Hand Side:
Our resulting equation is:
We divide both sides by 3.
Left Hand Side:
Right Hand Side:
Our resulting equation is:
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Evaluate the following:
When you subtract integers, it is the same thing as adding the inverse of the second integer. You can consider the following:
You can also consider the problem as asking for six less than negative four. This will also get you to the answer of .
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Kevin has won toys from a competition and decides to keep
toys for himself. He would like to give the rest of the toys to four of his close friends.
If each of Kevin's friends receive the same number of toys from Kevin, how many will be remaining?
The correct answer is 2 remaining toys. Kevin has 34 toys to start and he keeps 4 for himself. This means that he has 30 toys to give to four friends.
When we divide 30 by 4, we get 7.5. Since each friend cannot get half a toy, each friend can receive 7 toys.
This means that of the 30 toys, there will be 2 toys remaining.
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Please choose the best answer for the question below.
What is divided by
? Find a whole number and a remainder.
Simply divide to answer this question:
remainder
.
The maximum number of times can go into
is
, and you have
left over.
To put it another way, . If you subtract
from
, you are left with
, so that's your remainder.
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What is the result (with the remainder) in the above equation?
We divide the top by the bottom.
Test how many times 10 fits into 32 (try 3 times).
We subtract 30 from 32:
10 cannot fit into 2 so the remainder is 2.
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What is divided by
? Express your answer as a whole number with a remainder.
is not evenly divisible by
. As such, you want to first find out how many whole
's can go into
.
, so
is too many.
, which is as close to
as you can get.
, so that's your remainder.
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Carla and four of her friends are having a sleep over. Carla has seventeen blankets in her house. She wants to distribute her blankets evenly among all of the people at the sleepover (her included). How many blankets does each person get? How many are left over?
So, we have blankets, and
sleep over attendees.
can go into
a maxiumum of
times without going over, so each attendee gets
blankets.
,
, so there are
blankets left over.
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What is
When you are dealing with negative numbers, the following rules apply.
If there are no negative signs, the answer is positive.
If there is one negative sign, the answer is negative.
If there are two negative signs, the answer is positive.
, and since there is only one negative sign the answer is negative.
is the solution.
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Please choose the best answer for the question below.
What is
.
Use a calculator to check your work if allowed, but if not, then I'd reccommend the following method, breaking the problem down into smaller pieces.
And then add your results:
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