TEAS practice 2024: math

The sum of two consecutive integers is no more than 209. What is the larger of the two integers? Enter your answer in the box.

105

Answer this problem: At the amusement park, Jill and her friends have just ridden the Ferris wheel and now want to go to the nearby bookstore to get their books signed by a famous author. If the distance between the Ferris wheel and the bookstore is 20 feet, and the group plans to run for 10 minutes, how fast should they run? (use formula s=d/t)

2

Let d represent the number of days. A local charity earns money to donate to flood victims. It receives $200 per day in cash donations and $150 in pledges but must spend $75 per day in operating costs. Which inequality represents after how many days the charity will have enough money to make at least a $1000 donation?

200d+150−75d≥1000

To get on the top players' list, Don needs to have a minimum average score of 225 after playing four games. His scores in his first three games were 192, 214, and 250. What is the minimum score Don needs to earn on his fourth game? Enter your answer in the box.

244

Which inequality models this problem? The length of a rectangle is four times its width. If the perimeter is at most 130 centimeters, what is the greatest possible value for the width?

2w+2⋅(4w) ≤ 130

What inequality models this problem? The length of a rectangle is five times its width. If the perimeter is at most 96 centimeters, what is the greatest possible value for the width?

2w+2⋅(5w) ≤96

25 less than twice a number is equal to the number. What is the number?

2x - 25 = x / x = 25

48 less than 3 times a number is equal to the number. What is the number?

3x - 48 = x/ x = 24

From 1508 to 1512, Michelangelo painted the Sistine Chapel ceiling at the commission of Pope Julius II. For how long did he paint his famous artwork?

4 years

93 less than four times a number is equal to the number. What is the number?

4x - 93 = x / x = 31

What inequality models this problem? Josephine started a business selling cosmetics. She spent $4500 to obtain her merchandise, and it costs her $200 per week for general expenses. She earns $550 per week in sales. What is the minimum number of weeks it will take for Josephine to make a profit?

550w > 4500+200w

Jenny is eight years older than twice her cousin Sue's age. The sum of their ages is less than 32. What is the greatest age that Sue could be?

7

Mia is three years older than twice her sister Brooke's age. The sum of their ages is less than 30. What is the greatest age Brooke could be?

8

Let d represent time in days. Ono opens a small seafood restaurant. Start-up costs total $24,000. Each day she spends $500 on daily operating costs. She earns $850 per day in sales. When will Ono begin to make a profit? Which inequality models the problem?

850d>24000+500d

Which inequality models this problem? Eduardo started a business selling sporting goods. He spent $7500 to obtain his merchandise, and it costs him $300 per week for general expenses. He earns $850 per week in sales. What is the minimum number of weeks it will take for Eduardo to make a profit?

850w>7500+300w

It took Alan 8 hour to drive to a football game. On his way home he was able to increase his average speed by 10 mph and make the return trip in only 6 hours. Find his average speed on his way home.

8x = 6(x+10)/ x=30-speed on the way home is 40

The sum of two consecutive integers is at least 185. What is the smaller of the two integers? Enter your answer in the box.

92

A 3-oz serving of corned beef hash supplies 155 calories. Approximately how many calories will be supplied in a 5-oz serving? A. 258 B. 274 C. 248 D. 93

A

If 80% of the 130 students enrolled in a class earned passing grades, how many did not? A. 26 B. 30 C.104 D.130

A

One ounce of cheese contains 96 calories. How many calories are in 2 1/2 oz of cheese? A. 240 B. 230 C. 48.5 D. 38.4

A

Solve x + 2[3-5(1-x)] = 3(x-3)+5 A. x = 0 B. x = 2 C. x = 4 D. x = 8

A

The ratio of substance A to substance B in a mixture is 2:3. If the mixture contains 12 mg of substance A, how much is there of substance B? A. 18 mg B. 16 mg C. 9 mg D. 8 mg

A

20% of the residents of a certain area are expected to become ill this year. If 25,000 people live in this area, how many are expected to become ill? A. 6,250 B. 5,000 C. 1,250 D. 500

B

Of 60 patients treated with a certain medication, 24 showed no improvement. What percentage of patients improved? A.24% B.60% C.36% D.40%

B

What is the maximum number of 1 1/2 inch strips of tape that can be cut from a 480 inch roll of tape? A.240 B.320 C.160 D.720

B

A rectangle is three times as long as it is wide and has an area of 48 square units. What is the length in units of the rectangle? A. 4 B. 16 C. 12 D. 48

C

At the start of a diet, Mr. Smith weighed 184 lbs. Eight days later, he weighed 179 lbs. What was his average weight loss per day? A. 3/4 lbs B. 5 lbs C. 5/8 lbs D. 1/2 lb

C

Two out of five males in the U.S. between the ages of 18 and 29 live with their parents. If there are 60 million males in that age group in the U.S., how many of them live with their parents? A. 15,000,000 B. 23,000,000 C. 24,000,000 D. 35,000,000

C

A fraction equals 8/9. Its numerator is 7 less than its denominator. Find the numerator of this fraction. A. 24 B. 29 C. 40 D. 56

D

A man estimates that 1/5 of his salary is spent for taxes, 1/4 for rent, and 1/10 for insurance. What fraction of his salary is left for other expenses and savings? A. 3/19 B.16/19 C.11/20 D. 9/20

D

A patient needs 500 milligrams of a certain drug each day. For a 30-day supply of drugs administered at this rate, how many grams are needed? A. 1,500 B. 35 C. 30 D. 15

D

How many liters are in 375 mL? A. 0.000375 B. 0.00375 C. 0.0375 D. 0.375

D

There are 5 g of salt dissolved in 25mL of water. What percentage solution is it? A. 5% B. 12.5% C. 20% D. 25%

D

Let c represent the number of quarters or dimes. Jan has an equal number of quarters and dimes. If the value of her change is less than $2. What is the greatest number of quarters and dimes she can have?

Jan has no more than 5 quarters and 5 dimes.

Luther starts a small business making video recordings of weddings. He spent $2953 on video equipment. For each wedding, he spends $10 on media. If Luther charges $275 per wedding, when will he begin to make a profit?

Luther will make a profit after his 12th wedding.

In Nico's math class, a student's overall average is the mean of the scores on four chapter exams and the final exam, which counts twice. A student who earns an overall average of at least 90 gets an A in the class. Nico has scored 96, 82, 87, and 89 on the four chapter exams. He is now preparing for the final exam. What is the minimum score Nico needs to earn on the final exam to get an A in the class?

Nico needs to earn at least a 93 on the final exam.

Nate needs a part-time job to cover the cost of insurance and maintenance on his truck. Each month he pays $120 for insurance and $60 for maintenance. He wants at least $40 of gas money each week. If he gets a job earning $11/h, then what is the fewest number of hours he would need to work each month? (Assume 4 weeks per month.)

The fewest number of hours Nate needs to work each month is 31.

Josie is making a rectangular sign to advertise her garage sale. She has 65 in. of a shiny border that she wants to use around the edges, so the perimeter can be no more than 65 in. If she wants the length of the poster to be one and one-half times the width, what is the greatest possible width she can have?

The greatest possible width is 13 in.

Let c represent the number of calls. Brea invested $500 in stocks. She continues to invest the same amount every time she calls her stockbroker. For every transaction she completes, she must pay $11 to her broker. This amount is deducted from her investment. Write an inequality to show how many calls she must make to invest at least $2000.

c≥4.08997

Let h represent the number of home runs in season 6. Sam wants to be named the greatest home run hitter of his baseball league. In the past five seasons he has hit 24, 20, 23, 20, and 21 home runs, respectively. To qualify for the home run trophy he must average at least 22 home runs in six seasons. How many home runs must he hit this season to qualify? Which inequality models the problem?

h+24+20+23+20+21/6≥22

Let m represent the minimum amount of money Jamie needs to earn to pay his bills. Jamie works part time at an accounting firm. He gets paid by the task: the more difficult the job, the more money he earns. Jamie needs to make $500 to pay his bills. This week, he completed five tasks that paid $50, $75, $120, $100, and $80. Jamie has one more task to complete. What is the minimum amount he needs to earn on his last task to pay his bills?

m≥75

Let n represent the lesser of the consecutive integers. The sum of two consecutive integers is at least 55. Write an inequality to find the least possible pair of integers.

n+(n+1)≥55

Let r represent the number of inches of rain the farmer would like to see. A farming region is in the midst of a drought. Rainfall totals for this season are 1 in., 2.5 in., 3 in., and 1.7 in., respectively. The farmers would like to see a total rainfall amount of at least 15 in. How many more inches of rain would the farmers like to see?

r≥6.8

Dorene buys a bike for $187.50. The bike was marked down 25%. What was the original price of the bike?

x - .25x = $187.50 or .75x = $187.50 / x = $250.00

Darrald buys a book for $13.30. The book was on sale with a 30% discount off the original price. What was the original price?

x - .30x = $13.30 or .70x = $13.30 / x = $19.00

Answer the following equation (write as "x=..."): 13−0.5(2x−6)+2x=17

x=1