TABE Applied Math Practice Test 2 — Questions and Answers

Question 1: If you invest $10,000 at an annual rate of 7%, how much interest will you earn after one year?

$7
$700 (Correct answer)
$10,700
$70

Correct answer: $700

To calculate the interest earned, use the simple interest formula: Interest = Principal × Rate × Time. The principal is $10,000, the annual rate is 7% (or 0.07 as a decimal), and the time is 1 year. Multiplying these values ($10,000 × 0.07 × 1) yields an interest of $700.

Question 2: Four tons of gravel weighs how many pounds?

4000
16000
8000 (Correct answer)
12000

Correct answer: 8000

To convert tons to pounds, you need to know the conversion factor: 1 ton is equal to 2000 pounds. Therefore, to find the weight of four tons of gravel in pounds, multiply 4 by 2000. This calculation results in 8000 pounds.

Question 3: If the price of a gallon of gas increases from $3.20 to $3.68, what percent did it increase?

15% (Correct answer)
10%
115%
12%

Correct answer: 15%

First, calculate the amount of the price increase: $3.68 - $3.20 = $0.48. To find the percent increase, divide the increase amount by the original price and then multiply by 100. So, ($0.48 / $3.20) × 100% = 0.15 × 100% = 15%.

Question 4: If 5 apples cost $2.00, how much will 15 apples cost?

$8
$30
$10
$6 (Correct answer)

Correct answer: $6

You can solve this using a proportion or by finding the unit price. If 5 apples cost $2.00, then each apple costs $2.00 / 5 = $0.40. To find the cost of 15 apples, multiply the unit price by 15: $0.40 × 15 = $6.00.

Question 5: If 4 people can stain a deck in 2 days, how many people would be required to stain the deck in only 1 day?

8 (Correct answer)
2
4
12

Correct answer: 8

This is an inverse proportion problem, meaning as the number of days decreases, the number of people required increases. The total amount of work is constant: 4 people × 2 days = 8 'person-days' of work. To complete this same amount of work in 1 day, you would need 8 'person-days' / 1 day = 8 people.

Question 6: How much time is there between 7:45 am today and 3:15 pm tomorrow?

7 1/2 hours
30 1/2 hours
31 1/2 hours (Correct answer)
32 1/2 hours

Correct answer: 31 1/2 hours

First, calculate the time from 7:45 am today to 7:45 am tomorrow, which is exactly 24 hours. Then, calculate the time from 7:45 am tomorrow to 3:15 pm tomorrow. This is 5 hours from 7:45 am to 12:45 pm, plus 2 hours and 30 minutes from 12:45 pm to 3:15 pm, totaling 7 hours and 30 minutes (or 7.5 hours). Adding these together, 24 hours + 7.5 hours equals 31.5 hours.

Question 7: If a gas tank can hold 30 gallons, how many gallons does it contain when it is three-fifths full?

15
12
24
18 (Correct answer)

Correct answer: 18

To find how many gallons are in the tank when it is three-fifths full, multiply the total capacity by the fraction. The total capacity is 30 gallons, and the tank is 3/5 full. So, (3/5) × 30 gallons = (3 × 30) / 5 = 90 / 5 = 18 gallons.

Question 8: How long will it take to reach a town 250 miles a way if you drive 50 miles per hour?

4 hours
5 hours (Correct answer)
10 hours
6 hours

Correct answer: 5 hours

To calculate the time it will take, use the formula Time = Distance / Speed. The distance is 250 miles, and the speed is 50 miles per hour. Dividing 250 miles by 50 miles per hour gives a travel time of 5 hours.

Question 9: Tina bought a scarf for $16.65. She gave the clerk $20. How much change should she get back?

$4.35
$3.45
$3.35 (Correct answer)
$3.25

Correct answer: $3.35

To find the change Tina should receive, subtract the cost of the scarf from the amount of money she gave the clerk. She paid $20.00 and the scarf cost $16.65. So, $20.00 - $16.65 = $3.35 in change.

Question 10: Sam bought a 12 pack of soda for $5.40. How much did he pay per can of soda?

$0.45 (Correct answer)
$0.54
$0.40
$2.22

Correct answer: $0.45

To find the cost per can of soda, divide the total cost of the 12-pack by the number of cans. Sam paid $5.40 for 12 cans. Therefore, $5.40 ÷ 12 cans = $0.45 per can.

Question 11: Thomas' father is 51 years old when you first add 4 to his age and then multiply that total by 3. Which of the following algebraically accurately depicts this statement?

4(t+3)=51
3(t+4)=51 (Correct answer)
4t+3=51
3t+4=51

Correct answer: 3(t+4)=51

Let 't' represent Thomas' father's age. The statement 'add 4 to his age' translates to (t + 4). Then, 'multiply that total by 3' means 3 × (t + 4). Finally, 'is 51 years old' sets this expression equal to 51. Thus, the correct algebraic depiction is 3(t + 4) = 51.

Question 12: How much per pretzel do you save by purchasing "3 pretzels for $10" as opposed to merely purchasing "1 pretzel for $4"?

$0.33
$0.4
$1.00
$0.67 (Correct answer)

Correct answer: $0.67

First, calculate the cost per pretzel for each option. Purchasing '1 pretzel for $4' means a cost of $4.00 per pretzel. Purchasing '3 pretzels for $10' means a cost of $10.00 / 3 = $3.33 (approximately) per pretzel. The savings per pretzel is the difference between these two prices: $4.00 - $3.33 = $0.67.

Question 13: In the illustration above, AE←→⊥FC←→ (“line AE is perpendicular to line FC”). Which two rays form an obtuse angle?

OE−→and OC−→
OB−→and OC−→
OA−→and OD−→ (Correct answer)
OF−→ and OG−→

Correct answer: OA−→and OD−→

Given that line AE is perpendicular to line FC (AE⊥FC), angles AOC and COE are right angles (90°). An obtuse angle is greater than 90° but less than 180°. Angle AOD is formed by combining angle AOC (90°) and angle COD (which appears acute). Therefore, angle AOD is greater than 90°, making it an obtuse angle.

Question 14: Which of the following values for x is a solution to the equation given below? x⋅(x−2) > 7

x = −2 (Correct answer)
x = 2
x = −1
x = 3

Correct answer: x = −2

To find the solution, substitute each given value of x into the inequality x⋅(x−2) > 7. For x = -2, the expression becomes (-2)⋅(-2−2) = (-2)⋅(-4) = 8. Since 8 is indeed greater than 7, x = -2 is a solution to the inequality.

Question 15: The yearly towel sale is happening at Bathrooms 'R Us. Luxury bath towels are on sale for 20% off their regular price of $14. If Rita purchases four upscale bath towels, how much money does she save?

$2.80
$8.00
$16.00
$11.20 (Correct answer)

Correct answer: $11.20

First, calculate the savings per towel: 20% of $14 is 0.20 × $14 = $2.80. Since Rita purchases four towels, multiply the savings per towel by the number of towels. Total savings = $2.80 × 4 = $11.20.

Question 16: The L-shaped family room that Todd has planned to carpet is seen in the diagram below. How many square feet of carpet does Todd need to purchase to carpet this room, allowing for 15% waste?

340 square feet
312 square feet (Correct answer)
275 square feet
300 square feet

Correct answer: 312 square feet

First, calculate the area of the L-shaped room by dividing it into two rectangles (e.g., 10x15 and 10x12, or 20x12 and 10x3). The total area is 270 square feet. To account for 15% waste, multiply the room's area by 1.15 (100% + 15%). So, 270 sq ft × 1.15 = 310.5 sq ft. Since you typically round up for carpet, the closest and most practical answer is 312 square feet.

TABE Applied Math Practice Test 2

If you invest $10,000 at an annual rate of 7%, how much interest will you earn after one year?