ACT Math : Arithmetic
Study concepts, example questions & explanations for ACT Math
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Example Questions
Example Question #4 : How To Divide Integers
At the end of December, Abraham adds the average number of stamps he has been collecting over the year to his album, how many stamps will he have at the end of December?
In 11 months, Abraham has collected 155 stamps, or an average of 
Example Question #1 : How To Subtract Integers
On an airline flight of 250 people there is a choice of pasta, salad, or pizza for dinner. If 113 passengers choose pasta and 30% choose salad, how many passengers choose pizza?
62
53
75
100
62
30% of 250 is 75. Therefore, 250 – 75 – 113 = 62
Example Question #2 : How To Subtract Integers
At a store, a t-shirt costs 
If one shirt costs 
Example Question #3 : How To Subtract Integers
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 
Therefore, our answer is 
Example Question #1 : Operations
A hockey team wants to purchase uniforms for its 26 players, 2 of which are goalies. It costs $40 for a one-time designing fee. It costs $24 for goalie jerseys and $20 for all other jerseys. How much does it cost to purchase all of the uniforms?
$568
$664
$528
$608
$520
$568
There are 24 normal players and 2 goalies. Thus we can represent the sum in the equation 24($20) + 2($24) + $40 = $568.
Example Question #2 : Operations
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?
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.
Example Question #3 : How To Multiply Integers
Joey is beginning to invest in the stock market. He purchased 150 shares of a cell phone company. The company pays a dividend of $2.55 per share. What is his total dividend?
$280.25
$255.00
$451.75
$301.25
$382.50
$382.50
The words "per share" clues us into a multiplication problem, 150 * 2.55 = 382.50
Example Question #1 : How To Multiply Integers
George is buying his first car. He has $500 for a downpayment and can afford monthly payments of $175 for three years. What is the most expensive car he can purchase?
$8,000
$5,250
$4,750
$6,800
$7.500
$6,800
The most expensive car he can purchase is given by the total of all monthly payments and the down payment: $175 per month * 12 months per year * 3 years + $500 down = $6,800
Example Question #1732 : Act Math
Given 
Using the factor-label method we get:
approximately equals
The units are treated like numbers and are cancelled when they are in both the numerator and denominator.
Example Question #1 : How To Multiply Integers
Which of the following expressions must be an even integer if x is an integer?
x/8
3x
x + 3
x6
x6
An integer raised to an even power always yields an even integer. All of the other expressions could yield odd integers.
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