TEAS Math Practice Test #3

Question 1

| 2x − 5 | = 19  Which of the following is the solution set for the equation above?

Accepted Answer

{−7, 12}

Answer

To solve an absolute value equation like |2x − 5| = 19, you must consider two cases. Case 1: 2x − 5 = 19. Adding 5 to both sides gives 2x = 24, so x = 12. Case 2: 2x − 5 = −19. Adding 5 to both sides gives 2x = −14, so x = −7. Therefore, the solution set for the equation is {−7, 12}.

Question 2

If Maria left a $10.16 tip on a breakfast that cost $86.89, approximately what percentage was the tip?

Accepted Answer

12%

Answer

To find the percentage of the tip, divide the tip amount by the original cost of the breakfast and then multiply by 100. So, ($10.16 ÷ $86.89) × 100. This calculation yields approximately 0.1169 × 100, which is 11.69%. When rounded to the nearest whole percentage, this is 12%. Therefore, the tip was approximately 12%.

Question 3

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?

Accepted Answer

$443.50

Answer

First, calculate the total hours worked per week: (3 shifts * 8 hours/shift) + 12 hours = 36 hours. Next, determine the gross weekly pay by multiplying the total hours by the hourly rate: 36 hours * $17.81/hour = $641.16. Then, sum all weekly deductions: $102.80 + $24.58 + $18.13 + $52.15 = $197.66. Finally, subtract the total deductions from the gross pay to find the take-home pay: $641.16 - $197.66 = $443.50.

Question 4

How many imperial gallons are there in 1,400 liters?

Accepted Answer

308

Answer

To convert liters to imperial gallons, you need to use the conversion factor that 1 imperial gallon is approximately equal to 4.54609 liters. Divide the total number of liters (1,400) by this conversion factor. So, 1400 liters / 4.54609 liters/gallon ≈ 307.97 gallons. Rounding this to the nearest whole number gives 308 imperial gallons.

Question 5

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?

Accepted Answer

$330

Answer

To estimate the total amount, round each concert ticket price to the nearest ten dollars. The prices become $70, $70, $100, $20, and $70. Summing these rounded values gives $70 + $70 + $100 + $20 + $70 = $330. This provides an accurate estimate of the total amount spent.

TEAS Practice Test

TEAS Practice Test

TEAS Math Practice Test #3