Math TEAS

A customer at a restaurant leaves $80 on the table to pay for the food, a 15% tip, and 8% sales tax. If both tip and sales tax were calculated from the cost of the food, which of the following was the cost of the food, rounded to the nearest cent?

$65.04 This is the result of representing the cost of the food as x, the tip as 0.15x, and the tax as 0.08x, then setting up and solving the equation x + 0.15x + 0.08x = 80. or 80x100/123 which is 65.04

Which of the following is the percent of people who speak a language other than English or Spanish in this particular community?

This problem can be solved two ways. 100% - 34% - 11% = 55% or 19% + 16% + 6% + 14% = 55%.

A bike rental shop rents bikes for a basic fee plus an additional cost per hour. The above table shows the cost of renting a bike for different amounts of time. If the dependent variable (y) is the rental cost and the independent variable (x) is the number of hours of renting a bike, which of the following statements is true about the relationship between the rental cost and the number of hours renting a bike?

Time (hr) 0 1 2 3 4 Cost ($) 3.00 4.50 6.0 07.50 9.00 Because there is a positive correlation and a constant rate of change, the graph will be a line with a positive slope.

A jogger on a treadmill is jogging at 5 miles per hour. Which of the following is the time it will take them to jog 1 mile?

12 min This is obtained by multiplying 1 mile by 1 hr/5 mi, or 1/5 hr, and then converting to minutes by multiplying 1/5 by 60. set up as a proportion

A homeowner wants to install vinyl siding on the exterior of the house. The total area on which the siding is to be installed is 225 square feet. To account for waste, they need to buy 10% additional material. What is the total amount, in square feet, of material the homeowner should buy?(Round the answer to the nearest tenth. Use a leading zero if it applies. Do not use a trailing zero.)

247.5 sq ft To calculate the total amount of vinyl siding required, punch in calculator 225+10% total is 247.5 OR 225 * 0.1 + 225= 247.5

A child weighs 54 pounds (lb). Which of the following is the appropriate estimate of this child's mass in kilograms (kg)?

25 This is the result of rounding 54 to 50 and rounding 2.2 to 2 and then dividing 50 by 2.

A shopper at a local grocery store weighs a bag of apples. The weight is 2.4 pounds (lb). Which of the following is the weight of the apples in ounces (oz)?

38.4 oz 1lb=16oz Another way to solve this problem is to multiply 2.4 x 16 oz.

The average diameter of one tennis ball in a package of three is 6.8 cm. Which of the following is the combined volume of all three tennis balls? Use 3.14 for π and round your final answer to the nearest hundredth. (V= 4/3πr^3) A) 164.55 cm^3 B) 493.66 cm^3 C) 1,316.42 cm^3 D) 3,949.27 cm^3

B) 493.66 cm^3 This is the result of correctly calculating the volume of all three tennis balls by dividing the diameter by 2 to get the radius (3.4), cubing the radius, multiplying by Pi (3.14), and then multiplying by 4/3 to find the volume of a single tennis ball. Finally, that volume must be multiplied by 3 to get the total volume of all three tennis balls.

Between which two months does the greatest increase in profits occur?

February and March

An employee at a restaurant makes $14.50 per hour. If the employee works 150 hr during a month, which of the following is the employee's gross earnings for the month?

The employee's gross earnings for the month would be $2,175. This is the result of multiplying the unit rate ($14.50 per hour) by the number of hours worked (150 hr).

Which of the following statements is true about the cost of internet usage represented in the table above?

The range of 10 min of additional internet usage in St. Paul is $0.28 The range was correctly calculated by subtracting the smallest value from the largest value in a data set.

(x + 3)2 = 3Which of the following is the correct solution to the equation above?

x = -3 ± √3 This is the result of taking the square root of both sides of the equation, then subtracting 3 from both sides to isolate x. When introducing a square root to solve an equation, the root will have both positive and negative values.

Assuming 1 kg ≈ 2.205 lb, which of the following is equivalent to 15 kg?

This is the result of correctly converting 15 kg to pounds by multiplying 15 and 2.205

Which of the following correctly solves for x in the equation below? x-5.2=-2.3

2.9 solves for x By adding 5.2 to both sides of the equation there is now an equation equivalent to the original equation. The answer can be checked by placing 2.9 back into the original equation for x:2.9-5.2=2.3

At the end of the semester, a student sells 11 Books to the bookstore, earning $173. With that earned money, they pay two $20 dollar parking tickets and a $17 dollar library fine. How much money does the student have left?

20+20+17=57 173-57=116 She has 116 left

A box has a length of 2 1/2 ft., a width of 3 1/3 feet, and a height of 4 1/4 feet. The formula for the volume is lengthxwidthxheight. Which of the following is the volume of the box in cubic feet?

35 5/12 feet^3 2 1/2 * 3 1/3 * 4 1/4 Improper 5/2*10/3*17/4 =850/24 divide 850/24= 35 10/24 reduce 35 10/24 = 35 5/12 This is the result of correctly applying the formula and correctly multiplying the fractions. By converting mixed numbers to improper fractions, the improper fractions can then be multiplied and converted back into a mixed number.

Which of the following is the area of the trapezoid below?

442 square ft formula is .5xb+bxh

An online video site allows its users to rate videos on a scale of 1 to 10. The dot plot shows the ratings that a video received. Which of the following is the median rating of the video?

8 is the correct median

Mary is planning a trip to Western Samoa. Before going, she did some research and learned that the exchange rate is 6 Tala for $2. How many Tala will she get if she exchanges $325?

975 Tala This can be calculated in two ways. One way is to set up and solve a proportion: 6 Tala/$2 = x/$325. Multiply both sides by $325 to find x: (6 Tala ∙ $325)/$2. Simplify the left side: x = 975 Tala. The second way is to calculate the unit rate (3 Tala per dollar) and multiply $325 by 3.

A basic cell phone plan costs $50 per month and includes 200 minutes of call time. If the customer uses more than 200 minutes in a month, they are charged an additional $0.03 per minute used. If n represents the number of minutes used, which of the following represents the monthly cost (C) when more than 200 minutes are used?

C=50+0.3(n-200) If more than 200 minutes are used, the cost will equal $50 plus $0.03 times the difference between the number of minutes used and 200.

the average speed of NASA space shuttle travels is 17,500 mph. The distance the space shuttle traveled is 238,855 miles. What is the travel time of the space shuttle?

If the formula distance=rate x time is used to fine the time, divide the distance (238,855 miles) by the rate (17,500 miles/hr), which equals approximately 13.6 hr.

The height and corresponding arm span of several people were recorded and are plotted above. Which of the following statements about the data is correct?

There is a positive correlation between height and arm span. Arm span increases as height increases, which shows a positive correlation, or relationship, between the two variables.

graph showing covariance only positive direction

This graph shows covariance, but it is only in the positive direction because the variables do not increase or decrease together

A = -2.7, B = -1.2, C = 0.8, D = 1.7, E = 2.3 Which of the following statements is correct for the values given above?

The values listed in decreasing order are represented by E, D, C, B, A. The values that the letters represent would be listed from right to left on a number line, which is in decreasing order.

Which of the following is equivalent to 81 feet2?

There are 3 feet in a yard and 9 square feet in a square yard. Just look at answers and which ever one times by itself and adds up to the question problem is the answer. thus 9x9=81

Which of the following graphs shows a positive covariance between the variables?

This graph shows positive covariance because the variables increase or decrease together.

A state trooper collected and recorded speeds of several cars at a set location on a local highway. The speeds in miles per hour are recorded below. Which of the following is the median of this data set? 73, 81, 68, 75, 90, 78, 75, 82, 77, 71

arrange numbers from smallest to largest first. 68, 71, 73, 75, 75, 77, 78, 81, 82, 90 count how many numbers there are (10) and add 1 to it then divide by 2. 10+1=11 11/2= 5.5 so the two numbers in the middle will be the 5th and 6th one. Then pick the two numbers in the middle 75 & 77 add them up then divide by 2 75+77= 152 152/2 = 76

A student fills a beaker with boiling water and another beaker with ice water. Every minute, the student records the temperature in each beaker. In order to determine the exact time the temperature in the two beakers will be equal, which of the following graphical representations should the student use to organize the data?

Line graph A line graph is a type of graph that is appropriate for displaying one or more sets of continuous data.

Two hundred people in each of three age groups were surveyed regarding their attendance at G-rated movies during the year. The results are given in the bar graph above. Which of the following statements is supported by the data?

More than half of people over 25 in the survey attended a G-rated movie. The graph shows that attendance for those 26 and older was at 50% or higher. When the two age groups over 25 are combined, the percent should still be higher than 50%, which would mean that more than half of the people over 25 attended a G-rated movie.

graph showing negative covariance

This graph shows negative covariance between the variables because an increase in one variable corresponds to a decrease in the other variable.

graph shows no covariance

This graph shows no covariance between two variables

Which of the following decimals is equivalent to 1/4?

This is the result of correctly converting the fraction 1/4 to a decimal as 1 ÷ 4 = 0.25.

Which of the following is the simplest form of the expression (2 × 15 - 9 ÷ 3) / (5 + 35 ÷ 5)?

This is the result of correctly following the order of operations.(2 × 15 - 9 ÷ 3)/(5 + 35 ÷ 5) (30 - 9 ÷ 3)/(5 + 7) (30 - 3)/(12) 27/12 9/4 3 goes into both 27 and 12 so 9/4 is in lowest terms

Annette has $200 in her account and she plans to deposit $40 every week into the account. Which of the following expressions represents the amount in her account after n weeks?

200+40n This is the result of correctly interpreting that because Annette had $200 in her account and she deposits $40 every week, the amount deposited in n weeks is 40n. Therefore, the total amount after n weeks is 200 + 40n.