ATI TEAS VII Online Practice B - Mathematics

An artist is selling baskets at a craft fair. The cost of making each basket is $12.00. Which of the following is the price, in dollars, at which the artist should sell each basket to earn a profit of 15% on each basket? $12.80 $13.80 $18.00 $16.80

$13.80 This is the result of correctly calculating the profit by multiplying 12 by 0.15 and then adding the result to 12 to calculate the selling price. 15% = 15/100=0.15 12×0.15=1.80 12+1.80=13.80

An employee at a restaurant makes $ 14.50 per hour. if the employee works 75 hours during one pay period, 25 hours during a second pay period and 50 hours during a third pay period, which of the following represents the employee's gross earnings for all three pay periods. $1,450.00 $2,175.00 $3,987.50 $3,262.50

$2,175.00 This is found by multiplying the unit rate, $14.50 per hour, by the total number of hours worked, 75 + 25 + 50 = 150 hours.

Yesterday, a waiter received $74 in tips. Today he received 125% of what he made yesterday. Which of the following is the amount of money the waiter received in tips today? A) $18.50 B) $59.20 C) $83.25 D) $92.50

$92.50 To determine the day's total, take yesterday's total ($74) and multiply by the numerical equivalent of 125% (1.25). The total is $92.50.

Which of the following lists the values in order from least to greatest? -3, -3/10, 3.3, 3 -3/10, -3, 3, 3.3 -3, -3/10, 3, 3.3 -3/10, 3, -3, 3.3

-3, -3/10, 3, 3.3 This is correct. When ordering these values from least to greatest, the negative value that is the furthest from 0 should come first and the positive number that is the furthest from 0 should come at the end of the list.

What is the approximate height in meters of a person who is 6ft tall? 1.8m 2.6m 7.2m 18m

1.8m One foot equals approximately 0.3 m.

Which of the following is the value of y in the equation below? y - 3 +7y = 1 1/2 -2/3 1/5 -1/4

1/2 This is the correct solution to the equation: y - 3 + 7y = 1. This answer could be found by first performing y + 7y, then adding 3 to both sides of the equation. Next, divide both sides by 8 and simplify the resulting fraction.

A landscaper wants the length and width of a lawn each increased by 20%. The current dimensions of the lawn are 18 ft x 24 ft. Which of the following are the dimensions of the new lawn? 19.8 feet x 26.4 feet 20 feet x 26 feet 21.6 feet x 28.8 feet 23 feet x 29 feet

21.6 feet x 28.8 feet Because the landscaper wants to increase the dimensions by 20%, they should multiply each dimension by 1.2, or 120%.

A doctor sees each patient for 20 minutes during a typical appointment. Which of the following is the number of patients the doctor can see in a typical 7.5 hour day? 15 23 22 150

22 A correctly set up proportion might look like 1 patient/20 min = x/450 min. Multiplying both sides by 450 min will give (1 patient X 450 min)/20 min = x. Simplifying the left side leads to x = 22.5 patients. Since you cannot have half a patient, it is appropriate to round down to 22 patients, because rounding up to 23 would go over the doctor's time limit. Another way to solve this problem is by calculating the rate of patients seen per hour and setting that equal to the rate of patients seen in 7.5 hours.

A baker calculates that the ingredients for 18 dozen cookies cost $24. How many dozen cookies can the baker make if they spend $36 on ingredients? 21 dozen 27 dozen 30 dozen 48 dozen

27 dozen The baker can make 0.75 dozen cookies with $1 of ingredients. 0.75 x $36 = 27 dozen cookies.

Which of the following inequalities correctly represents the sentence below? Two times a number is less than four more than that number. 2x < x + 4 2x > x + 4 2x + 4 > x 2x + 4 < x

2x < x + 4 This answer correctly represents the sentence above. "Two times a number" is represented by 2x. "Four more than that number" is represented by x + 4. "Less than" is represented by <.

A recipe for pizza that serves 12 people calls for 2 cups of shredded cheese. If each bag of shredded cheese contains 3 cups, which of the following is the minimum number of bags required to make pizza for 48 people? 1 2 3 4

3 To serve 48 people, you will need 4 pizzas. Four pizzas will require 8 cups of cheese. In order to have enough cheese, the minimum number of bags required is 3.

A cyclist went of a weekend bike ride. On Saturday, they biked at a constant speed of 11.1 miles per hour for 2.8 hours. On Sunday, they biked at a constant speed of 9.6 miles per hour for 3.1 hours. Which of the following is the best estimate of the difference in the distance they biked on Saturday compared to Sunday? (Round to nearest whole number) 1 mile 5 miles 4 miles 3 miles

3 miles This is the result of correctly rounding all the values to the nearest whole number and then calculating the difference. (11 x 3) - (10 x 3) = 3

If an object has a mass of 34 kilograms (kg), which of the following is the mass in milligrams (mg)? 0.000034 mg 0.034 mg 34,000 mg 34,000,000 mg

34,000,000 mg This answer is the result of correctly converting 34 kg to milligrams. 34 x 1,000 x 1,000 = 34,000,000

Which of the following is the first step to simplify the expression below? 30/(6+4x8) -3 30 - 3 6 + 4 4 × 8 30 ÷ 6

4 x 8 This response is the result of correctly recognizing that calculations inside the parentheses should be performed first and that multiplication should be performed before addition.

Which of the following is 4/100 expressed as a percent? 0.04% 0.4% 4% 400%

4% This response is the result of correctly converting the fraction to percent by multiplying it by 100 and adding the percent symbol. 4/100 × 100 = 4%

A contractor plans to build an open-top box out of plywood. The box will measure 4 feet long, 3 feet wide, and 2 feet tall. Which of the following is the minimum amount of plywood needed to build the box? 24 ft2 32 ft2 40 ft2 52 ft2

40 ft2 To determine the amount of plywood needed, add the area of the two sides that are 4 feet long by 2 feet tall, the two sides that are 3 feet wide by 2 feet tall, and the bottom that is 4 feet long by 3 feet wide. (4 x 2) + (4 x 2) + (3 x 2) + (3 x 2) + (4 x 3) = 40

A student is comparing the mass of several items. Which of the following is a reasonable estimation of the mass of a standard bowling ball? 5 kilograms 5 grams 5 decagrams 5 milligrams

5 kilograms A mass of 1 kilogram is approximately equal to 2.2 pounds, so 5 kilograms is about 11 pounds. This is a reasonable estimation of the mass of a bowling ball.

A holiday punch recipe calls for 1,500 mL of fruit punch, 375 mL of pineapple juice, and 1 L of ginger ale. How many liters (L) of punch will this recipe yield if doubled? 12.5 L 3.05 L 2.875 L 5.75 L

5.75 L This answer is the result of correctly converting 1,500 mL to 1.5 L and 375 mL to 0.375 L, adding all three of the ingredients together, and doubling the recipe.

Hourly wages 9 10 11.75 14 15.50 16 18.75 21.25 22 38 42 Exactly how many hourly rates are less than the mean value? 4 5 6 7

7 The mean value is the average value of all data points. The sum of the hourly rates is $218.24; dividing by the number of hourly rates, 11, gives the value of $19.84. Seven hourly rates are below $19.84.

A homeowner wants to install a new marble countertop on their kitchen island. They take measurements of the island and find that the length is 2 feet, the width is 3.5 feet, and the height of the island is 4 feet. Which of the following is the correct calculation of the area of the marble rectangle they need to cover the top of the island, without any overhang? 7 square feet 8 square feet 9.5 square feet 14 square feet

7 square feet This answer is correct. It is the calculation of the length times the width of the island.

Which of the following correctly solves the equation below for y? -7(y-4) = -y-26 16 -1/3 11/3 9

9 This option is the result of correctly distributing -7 on the left side of the equation, collecting like terms through addition or subtraction on both sides of the equation, and then dividing by the coefficient of y to solve for y.

A contractor is hired to install laminate flooring. The total cost consists of fixed material cost, and an installation cost per square foot. The area of the floor is 120 sq ft. The material cost is $172.35 and the cost of installation per square foot is $6.50. What is the total cost, in US dollars (USD), to install the laminate? (Round to nearest cent)

952.35 USD Calculate the installation cost: 120 × 6.50 = 780 Add the material cost to the installation cost: 172.35 + 780 = 952.35

A container holds 6 gallons of water. It starts leaking at a constant rate because of a hole on its side. After 10 minutes, the container has 4 gallons of water left. Which of the following is true about the variables in this situation? The elapsed time is the dependent variable, and the amount of water in the container is the independent variable. The elapsed time is the independent variable, and the amount of water in the container is the dependent variable. There exists a positive covariance between the elapsed time and the amount of water in the container. There is a nonlinear relationship between the elapsed time and the amount of water in the container.

The elapsed time is the independent variable, and the amount of water in the container is the dependent variable. The amount of water in the container depends on the elapsed time. Therefore, the elapsed time is the independent variable and the amount of water in the container is the dependent variable.

If x represents the length of one side of a rectangle with a perimeter of 200, which of the following expressions models the area of the rectangle? x(100 - x) 2x + 2(100 - x) x + (200 - x) 2x(200 - x)

x(100 - x) The area of a rectangle is the product of the length times the width. Since the perimeter of the rectangle is 200, one length + one width = 100. If one side is x, the adjacent side must be 100 - x.