ATI TEAS 7 Math Study Guide: Questions with Answers and
Explanations
1. 5,344 – 57
Simplify the expression above. Which of the following is correct?
2. 3(x − 4) = 18
Solve the equation above. Which of the following is correct?
3. (5x − 1) (3x + 2)
Simplify the expression above. Which of the following is correct?
4. Timmy can usually make six paper airplanes in an hour. However, if he gets interrupted by his parents,
he can only make four per hour. His friend John can make seven paper airplanes per hour. One day,
Timmy and John decide to have a three-hour long contest to see who can make the most paper
airplanes. During the contest, Timmy is interrupted once every hour. John also had to take a break and
do chores for an hour. How many more paper airplanes does the winner make?
5. If a car travels 360 kilometers in 5 hours, how far will it travel in 9 hours?
6. What degrees Fahrenheit is it at 30 degrees Celsius?
Note: °F = (°C * 9/5) + 32
7. 0.27 x 0.56
Simplify the expression above. Which of the following is correct?
,8. At a comic book store, Robert purchased three comics for $2.65 each. If he paid with a $20 bill, how
much change did he receive?
9.
10. Express 5/8 as its closest rounded percentage.
11. Amanda wants to paint the walls of a room. She knows that each can of paint contains one gallon. A
half gallon will cover a 55 square feet of wall. Each of the four walls is 10 feet high. Two of the walls
are 10 feet wide and two of the walls are 15 feet wide. How many 1-gallon buckets of paint does
Amanda need to buy in order to fully paint the room?
12. How many millimeters are there in 5 meters?
13. 0.67 x 0.09? Simplify the expression above.
14. 2 − 8 ÷ (24 ÷ 2) =
15. Which type of graph would best indicate the percentage of a school’s annual scholarship fund spent on
freshman students?
16. −1/4, π, 3/8, −0.2 Order the above list of numbers from least to greatest.
17. A certain number is 12 more than half a given number. Translate this phrase into a mathematical
expression equivalent to the given number if “c” represents the certain number.
, 18. | 2x − 5 | = 19
19. If Maria left a $10.16 tip on a breakfast that cost $86.89, approximately what percentage was the tip?
20. A nurse working at a medical clinic earns $17.81 per hour. The nurse works three 8-hour shifts and one
12-hour shift every week, and is paid weekly. Weekly deductions are: federal tax $102.80, state tax
$24.58, federal insurance $18.13, and family health insurance $52.15. What is the nurse's take-home
pay each week?
21. How many imperial gallons are there in 1,400 liters?
Note: 1 kiloliter = 220 imperial gallons
22. Derek purchased concert tickets in the month of June for $73, $66, $96, $17, and $66 dollars. Which of
the following is an accurate estimate of the total amount he spent on concert tickets in June?
23. 5y − 8 > 32
24. There are 48 students studying foreign language at the community college. If the only two foreign
languages offered are French and Spanish, and 28 students are studying French, which of the following
represents the ratio of students studying Spanish to the total number of foreign language students?
25. What is 181.5% of 18?
26. Which of the following is equivalent to 0.0009?
27. A father is planning a birthday party for his son. He is expecting a total attendance of 7 adults and 13
children. Food costs will be $11.00 for each adult and $5.00 for each child. He will also need to spend
$2.00 per child for party favors. Which of the following is the total cost of the birthday party?
28. 7 x 4 + (9 − 6) + 13
Explanations
1. 5,344 – 57
Simplify the expression above. Which of the following is correct?
2. 3(x − 4) = 18
Solve the equation above. Which of the following is correct?
3. (5x − 1) (3x + 2)
Simplify the expression above. Which of the following is correct?
4. Timmy can usually make six paper airplanes in an hour. However, if he gets interrupted by his parents,
he can only make four per hour. His friend John can make seven paper airplanes per hour. One day,
Timmy and John decide to have a three-hour long contest to see who can make the most paper
airplanes. During the contest, Timmy is interrupted once every hour. John also had to take a break and
do chores for an hour. How many more paper airplanes does the winner make?
5. If a car travels 360 kilometers in 5 hours, how far will it travel in 9 hours?
6. What degrees Fahrenheit is it at 30 degrees Celsius?
Note: °F = (°C * 9/5) + 32
7. 0.27 x 0.56
Simplify the expression above. Which of the following is correct?
,8. At a comic book store, Robert purchased three comics for $2.65 each. If he paid with a $20 bill, how
much change did he receive?
9.
10. Express 5/8 as its closest rounded percentage.
11. Amanda wants to paint the walls of a room. She knows that each can of paint contains one gallon. A
half gallon will cover a 55 square feet of wall. Each of the four walls is 10 feet high. Two of the walls
are 10 feet wide and two of the walls are 15 feet wide. How many 1-gallon buckets of paint does
Amanda need to buy in order to fully paint the room?
12. How many millimeters are there in 5 meters?
13. 0.67 x 0.09? Simplify the expression above.
14. 2 − 8 ÷ (24 ÷ 2) =
15. Which type of graph would best indicate the percentage of a school’s annual scholarship fund spent on
freshman students?
16. −1/4, π, 3/8, −0.2 Order the above list of numbers from least to greatest.
17. A certain number is 12 more than half a given number. Translate this phrase into a mathematical
expression equivalent to the given number if “c” represents the certain number.
, 18. | 2x − 5 | = 19
19. If Maria left a $10.16 tip on a breakfast that cost $86.89, approximately what percentage was the tip?
20. A nurse working at a medical clinic earns $17.81 per hour. The nurse works three 8-hour shifts and one
12-hour shift every week, and is paid weekly. Weekly deductions are: federal tax $102.80, state tax
$24.58, federal insurance $18.13, and family health insurance $52.15. What is the nurse's take-home
pay each week?
21. How many imperial gallons are there in 1,400 liters?
Note: 1 kiloliter = 220 imperial gallons
22. Derek purchased concert tickets in the month of June for $73, $66, $96, $17, and $66 dollars. Which of
the following is an accurate estimate of the total amount he spent on concert tickets in June?
23. 5y − 8 > 32
24. There are 48 students studying foreign language at the community college. If the only two foreign
languages offered are French and Spanish, and 28 students are studying French, which of the following
represents the ratio of students studying Spanish to the total number of foreign language students?
25. What is 181.5% of 18?
26. Which of the following is equivalent to 0.0009?
27. A father is planning a birthday party for his son. He is expecting a total attendance of 7 adults and 13
children. Food costs will be $11.00 for each adult and $5.00 for each child. He will also need to spend
$2.00 per child for party favors. Which of the following is the total cost of the birthday party?
28. 7 x 4 + (9 − 6) + 13
