How to solve one-step equations - HSPT Math
Card 1 of 1316
If
, solve for
.
If , solve for
.
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First, subtract 3 from both sides:
4x+3-3=15-3
4x=12
Now divide by 4 on both sides:
$\frac{4x}{4}$=\frac{12}{4}$
x=3
First, subtract 3 from both sides:
4x+3-3=15-3
4x=12
Now divide by 4 on both sides:
$\frac{4x}{4}$=\frac{12}{4}$
x=3
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To solve:
First, solve both equations on each end, keeping the variable.


Then, subtract 15 from each side of the equation.


Finally, divide each side by 3 so that only the variable remains.


To solve:
First, solve both equations on each end, keeping the variable.
Then, subtract 15 from each side of the equation.
Finally, divide each side by 3 so that only the variable remains.
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Solve for
:

Solve for :
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Divide both sides by
:



Divide both sides by :
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Solve for
:

Solve for :
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Subtract 19, then divide by 7:





Subtract 19, then divide by 7:
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A bicycle originally costs $120.00. If it is on sale for 30% off, what is the sale price of the bicycle?
A bicycle originally costs $120.00. If it is on sale for 30% off, what is the sale price of the bicycle?
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First multiply the original price by 30%.

Then subtract that amount from the original price.

The sale price is $84.00
First multiply the original price by 30%.
Then subtract that amount from the original price.
The sale price is $84.00
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First solve the parentheses.

Then solve from left to right since multiplication and division are interchangeable:

The answer is 20.
First solve the parentheses.
Then solve from left to right since multiplication and division are interchangeable:
The answer is 20.
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First, convert each mixed number into an improper fraction.

Then, reduce where possible and multiply.
Finally, convert your answer into a mixed-number fraction.

First, convert each mixed number into an improper fraction.
Then, reduce where possible and multiply.
Finally, convert your answer into a mixed-number fraction.
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First, convert each mixed number into an improper fraction and flip the second fraction. Then, change the operation to multiplication:

Reduce where possible and multiply. Convert your answer into a mixed fraction.
First, convert each mixed number into an improper fraction and flip the second fraction. Then, change the operation to multiplication:
Reduce where possible and multiply. Convert your answer into a mixed fraction.
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First find the exponent value for each number:

Then divide accordingly. The answer is 128.
First find the exponent value for each number:
Then divide accordingly. The answer is 128.
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Solve for the variable:

Solve for the variable:
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First, combine the integers on the left side of the equation, and then do the same on the right:


Then subtract 16 from each side:

8 = 4a
Finally, divide both sides by 4 to isolate the variable:


First, combine the integers on the left side of the equation, and then do the same on the right:
Then subtract 16 from each side:
8 = 4a
Finally, divide both sides by 4 to isolate the variable:
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First follow order of operations and solve on each side.


Then, subtract 40 from each side to leave only the variable:


Finally, divide both sides by 2.

The answer is 
First follow order of operations and solve on each side.
Then, subtract 40 from each side to leave only the variable:
Finally, divide both sides by 2.
The answer is
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First solve with order of operations on each side:


Then subtract 15 from each side:


Finally, divide each side by 5:


The answer is 5.
First solve with order of operations on each side:
Then subtract 15 from each side:
Finally, divide each side by 5:
The answer is 5.
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Solve inside the parentheses first:

Follow order of operations to solve:

The answer is 21.
Solve inside the parentheses first:
Follow order of operations to solve:
The answer is 21.
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Melissa is going on a road trip to her mother's house in another state. On a full tank of gas, she can travel 230 miles. At least how many times will she need to fill up her gas tank if her mother lives 950 miles away?
Melissa is going on a road trip to her mother's house in another state. On a full tank of gas, she can travel 230 miles. At least how many times will she need to fill up her gas tank if her mother lives 950 miles away?
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Divide the total distance (950) by the number of miles per full tank of gas (230).

Therefore, she will have to fill up her tank with gas at least 5 times.
Answer is at least 5 times.
Divide the total distance (950) by the number of miles per full tank of gas (230).
Therefore, she will have to fill up her tank with gas at least 5 times.
Answer is at least 5 times.
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First solve what is inside parentheses and follow the order of operations:




Then, add 18 to each side:


Finally, divide each side my 14:


The answer is 4.
First solve what is inside parentheses and follow the order of operations:
Then, add 18 to each side:
Finally, divide each side my 14:
The answer is 4.
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First, convert each fraction into an improper fraction.

Then, change the operation to multiplication and flip the second fraction.

Reduce and multiply.

First, convert each fraction into an improper fraction.
Then, change the operation to multiplication and flip the second fraction.
Reduce and multiply.
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First, convert each mixed number into an improper fraction:

Then, change the operation to multiplication and flip the second fraction:

Reduce and multiply:

First, convert each mixed number into an improper fraction:
Then, change the operation to multiplication and flip the second fraction:
Reduce and multiply:
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Nelson received $64.00 in holiday gifts. If he would like to buy a baseball bat for $16.00, a glove for $34.00, and a cap for $11.00, how much money will he have left over?
Nelson received $64.00 in holiday gifts. If he would like to buy a baseball bat for $16.00, a glove for $34.00, and a cap for $11.00, how much money will he have left over?
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First, add up all the items on his wish list:

Then, subtract that amount from the original amount:

First, add up all the items on his wish list:
Then, subtract that amount from the original amount:
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First, convert each fraction into an improper fraction. Then, change the operation to multiplication and flip the second fraction. Reduce and multiply.

First, convert each fraction into an improper fraction. Then, change the operation to multiplication and flip the second fraction. Reduce and multiply.
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Angelina leaves her home at 6 AM. If she drives 65 miles per hour, what time will she arrive to her grandfather's home, 195 miles away?
Angelina leaves her home at 6 AM. If she drives 65 miles per hour, what time will she arrive to her grandfather's home, 195 miles away?
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First, divide
.
Then, calculate what time Angelina will arrive by adding 3 hours to 6:00.

The answer is 9:00 AM.
First, divide .
Then, calculate what time Angelina will arrive by adding 3 hours to 6:00.
The answer is 9:00 AM.
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