ACT Math › Operations
A car averages 29 miles per gallon. If gas costs $3.75 per gallon how much money would need to be spent on gas to travel 1464.5 miles?
$189.38
$5491.88
$108.75
$50.5
None of the other answers
The question is asking for the amount of money that would need to be spent on gas. Using the value given for the miles per gallon of the car and the amount of miles traveled it is possible to determine the gallons of fuel that will be required. This will be set up as 1464.5 miles travelled divided by the 29 miles per gallon that the car gets. This leaves us with 50.5 gallons of fuel used. From this point we can multiply the amount of fuel used, 50.5 gallons, by the price of fuel per gallon, $3.75, to obtain the amount of money that will spent on fuel, $189.38.
If ,
, and
, what does
equal?
To answer this question, we must substitute our given values into an equation and solve, remembering our order of operations.
First, we must take our values for each variable and substitute them into the equation given. Therefore, since we are told that ,
, and
,
Now that we have our values plugged in, we need to remember the order of operations in order to solve this problem. The order of operations goes as follows: parentheses, exponents, multiplication and division, and finally addition and subtraction. The first order of operations is to carry out any operations that are within parenthesis. Therefore, for this data:
We can now simply multiply these numbers together.
Our answer is .
If ,
, and
, what does
equal?
To answer this question, we must substitute our given values into an equation and solve, remembering our order of operations.
First, we must take our values for each variable and substitute them into the equation given. Therefore, since we are told that ,
, and
,
Now that we have our values plugged in, we need to remember the order of operations in order to solve this problem. The order of operations goes as follows: parentheses, exponents, multiplication and division, and finally addition and subtraction. The first order of operations is to carry out any operations that are within parenthesis. Therefore, for this data:
We can now simply multiply these numbers together.
Our answer is .
A car averages 29 miles per gallon. If gas costs $3.75 per gallon how much money would need to be spent on gas to travel 1464.5 miles?
$189.38
$5491.88
$108.75
$50.5
None of the other answers
The question is asking for the amount of money that would need to be spent on gas. Using the value given for the miles per gallon of the car and the amount of miles traveled it is possible to determine the gallons of fuel that will be required. This will be set up as 1464.5 miles travelled divided by the 29 miles per gallon that the car gets. This leaves us with 50.5 gallons of fuel used. From this point we can multiply the amount of fuel used, 50.5 gallons, by the price of fuel per gallon, $3.75, to obtain the amount of money that will spent on fuel, $189.38.
Connie's car gets 35 miles per gallon of gas. How much gas will she need to take a 525 mile trip? Round to the nearest gallon.
25
20
15
17
23
This becomes a division problem: 525 miles ÷ 35 miles per gallon = 15 gallons
Connie's car gets 35 miles per gallon of gas. How much gas will she need to take a 525 mile trip? Round to the nearest gallon.
25
20
15
17
23
This becomes a division problem: 525 miles ÷ 35 miles per gallon = 15 gallons
is equivalent to which of the following?
To answer this question, we must remember how to distribute a negative when we are subtracting an entire expression.
To distribute a negative, you change the sign of everything within the expression being subtracted from positive to negative or negative to positive. You then add the resulting expression. So, for this data:
We can then add the like expressions normally (combine with
,
with
, and
with
). Therefore, for this data:
Therefore, our answer is .
is equivalent to which of the following?
To answer this question, we must remember how to distribute a negative when we are subtracting an entire expression.
To distribute a negative, you change the sign of everything within the expression being subtracted from positive to negative or negative to positive. You then add the resulting expression. So, for this data:
We can then add the like expressions normally (combine with
,
with
, and
with
). Therefore, for this data:
Therefore, our answer is .
Sam is paid $15 per hour for laying bricks. If he lays 3,000 bricks at a rate of 5 bricks per minute, how much will he be paid?
$150
$200
$300
$1,500
$9,000
First we need to convert some units. If Sam lays 5 bricks per minute, then multiply that figure by 60 to find that he lays 300 bricks per hour. 3,000 bricks divided by 300 bricks/hour means he worked for 10 hours. Therefore, when we mutiply $15/hour by 10 hours, we see he makes $150.
Solve the following equation.
This question is testing the order of operations. For the equation , you must do the division problem first, then addition.
.