ATI TEAS 7 Math Study Guide Questions with Answers and Explanations Latest

NB: Answers and Explanations are after the Questions 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 Answers Question 1 Explanation: The correct answer is (C). Remember that calculators are not permitted on the TEAS math test, so make sure you are able to subtract large numbers without using a calculator. (subtraction by regrouping) Question 2 Explanation: The correct answer is (D). First divide both sides by 3: 3(x − 4) = 18 x − 4 = 18/3 x − 4 = 6 Then solve for x: x − 4 = 6 x = 6 + 4 x = 10 Question 4 Explanation: The correct answer is (B). The “FOIL method” is the easiest way to remember how to multiply two-termed expressions. Multiply the First two terms, then the Outer two terms, then the Inner two terms, and then the Last two terms, then sum all four to arrive at the answer: 15x2 + 10x − 3x − 2 = 15x2 + 7x – 2 Question 5 Explanation: The correct answer is (B). Because Timmy is interrupted during each hour, he can only make four paper airplanes per hour, multiplied by 3 hours, for a total of 12 airplanes. John makes seven paper airplanes during the two hours he works without chores, for a total of 14 airplanes. 14 airplanes minus 12 airplanes equals 2. Question 6 Explanation: The correct answer is (D). Given that it took 5 hours to travel 360km, we can set up a ratio equation to figure out how far the car will travel in 9 hours. 360/5 = x/9 72 = x/9 72*9 = x x = 648 Question 7 Explanation: The correct answer is (A). Plug in °C = 30 into the given formula and solve for °F: °F = (°C * 9/5) + 32 °F = (30 * 9/5) + 32 °F = 54 + 32 °F = 86 Question 8 Explanation: The correct answer is (C). The product of two decimals will always have the same number of decimal places as the sum of the number of decimal places that the multiplicand and the multiplier have. 27*56=1512. The multiplicand is .27 and has 2 decimal places. The multiplier is .56 and has 2 decimal places. Our product should have 4 decimal places. Therefore, our answer is .1512. Question 9 Explanation: The correct answer is (B). Three comics at $2.65 would equal a total of $7.95. The change would equal $20 − $7.95 = $12.05. Question 10 Explanation: The correct answer is (C). 7¼ can be expressed as 29/4. 29/4 x 1/18 = 29/(4 x 18) = 29/72. Question 11 Explanation: The correct answer is (C). 5 ÷ 8 = 0.625, which equals 62.5%. Rounding up gives us 63%. Question 12 Explanation: The correct answer is (B). First, we must calculate the area of the walls Amanda wants to paint. Two of the walls are 10 x 10 and two of the walls are 10 x 15: 2 (10 x 10) = 200 2 (10 x 15) = 300 So the total square footage of the walls is 500. If a half gallon of paint will cover 55 square feet, then each gallon will cover 110 square feet. Four gallons would only cover 440 square feet. Five gallons will cover 550 square feet, which will be enough for all 500 square feet of walls. uestion 13 Explanation: The correct answer is (B). The prefix “milli-” means 1,000. There are 1,000 millimeters in 1 meter, so there are 5,000 millimeters in 5 meters. Question 14 Explanation: The correct answer is (C). The product of two decimals will always have the same number of decimal places as the sum of the number of decimal places that the multiplicand and the multiplier have. 67*9=603. The multiplicand is .67 and has 2 decimal places. The multiplier is .09 and has 2 decimal places. Our product should have 4 decimal places. Therefore, our answer is .0603. Don't get tripped up by the extra zeros. Zeros before our answer and after the decimal point increase the number of decimal places. Zeros after our answer and after the decimal point do not increase the number of decimal places. Question 15 Explanation: The correct answer is (C). Remember your order of operations: Complete operations within parentheses first. Calculate exponents. Then multiply and divide in order from left to right. Then add and subtract in order from left to right. 2 − 8 ÷ (24 ÷ 2) = 2 − 8 ÷ (16 ÷ 2) = 2 − 8 ÷ 8 = 2 − 1 = 1 Question 16 Explanation: The correct answer is (A). A pie chart represents percentages of a total, and would thus be the best graphic representation of a budget breakdown. Question 17 Explanation: The correct answer is (B). The smallest number is the greatest negative value: −1/4 (−0.25). The next smallest is −0.2 (−1/5). The largest value is π, or approximately 3.14. Question 18 Explanation: The correct answer is (D). Let’s say x = “a given number.” The word “more” means in addition to, and “half” means divided by 2. Therefore, the correct translation is (x/2) + 12 = certain number. The correct answer will be equal to the “given” number, so let’s solve for it: (x/2) + 12 = c x/2 = c − 12 x = 2(c − 12) Question 19 Explanation: The correct answer is (C). Absolute value equations can be rewritten in two ways to solve: 2x − 5 = 19 and 2x − 5 = −19. Solve both: 2x − 5 = 19 2x = 24 X = 12 2x − 5 = −19 2x = −14 x = −7 The two solutions and −7 and 12. Question 20 Explanation: The correct answer is (A). The easiest way to answer this question is to round the numbers. Let’s say the tip is $10 and the total was $87. $10/$87 = approximately 11%. (A) is the closest answer to our approximation. Question 21 Explanation: The correct answer is (B). First you must calculate how many hours the nurse works each week. Three 8-hour shifts plus one 12-hour shift equals 36 hours per week. Beginning Salary = 36 x $17.81 = $641.16 Deductions = $102.80 + $24.58 + $18.13 + $52.15 = $197.66 Take-Home Pay = $641.16 − $197.66 = $443.50 Question 22 Explanation: The correct answer is (A). There are 1,000 liters in 1 kiloliter: 1,400 liters = 1.4 kiloliters. 1.4 x 220 = 308 imperial gallons Question 23 Explanation: The correct answer is (B). The easiest way to make an estimate is to round each number so there is only one nonzero digit. Then you can easily add up the numbers: 73 ≈ 70 66 ≈ 70 96 ≈ 100 17 ≈ 20 66 ≈ 70 Adding these numbers together yields $330. Question 24 Explanation: The correct answer is (A). To solve an inequality, simply treat the inequality symbol as if it’s an equals sign: 5y − 8 > 32 5y > 40 y > 8 Question 25 Explanation: The correct answer is (D). If there are 48 total, and 28 study French, then 20 study Spanish. The ratio of 20 to 48 = 10/24 = 5/12. Question 26 Explanation: The correct answer is (C). First you must convert the fraction to a decimal by moving the decimal point 2 places to the left, which gives you 1.815. Then multiply this by 18. 1.815 x 18 = 32.67