HESIA2: Mathematics

Lance makes $11.35 an hour and earns time and a half pay for every hour over 40. If Lance worked 47 hours this week, about how much will his paycheck be? Round to the hundredth place. A.$546.24 B.$454 C.$573.18 D.$521.37

$573.18 is correct because $11.35 an hour x 40 hours a week equals $454. Time and a half pay for Lance would be $17.025 and you figure that out by multiplying $11.35 an hour by 1.5. Then multiply $17.025 times 7 overtime hours to get $119.175. Lastly, add $454 and $119.175 and you will get $573.175. Rounded to the hundredth place would be $573.18.

A salesman spent $34 at the store in the first week of December; the next two weeks he spent $73; and during the last week he spent another $123. What are his average expenses during the month of December? A.$80.01 B.$75.75 C.$120 D.$76.67

$75.75; ($34 + $73 + $73 + $123) / 4 weeks

Dawn has a 20% off one shirt coupon at her favorite store. Is she buys 3 shirts at $29.99 and uses her coupon, how much will her total bill be? Round to the nearest hundredth. A.$89.97 B.$86.42 C.$71.98 D.$83.97

$83.97 is correct because $29.99 multiplied by 3 shirts is $89.97. To get 20% off of one shirt, $29.99 is multiplied by 0.20, which equals $5.998. You subtract $5.998 from $89.97 to get $83.972. Rounded to the nearest hundredth you would get the correct answer, $83.97.

What is the decimal equivalent of 3/8? A.0.375 B.0.875 C.0.625 D.0.125

0.375 is the correct answer because 3 divided by 8 is 0.375.

What is 0.85 x 0.65? A.0.5525 B.0.5252 C.0.5525 D.0.5520

0.5525

How many cubic centimeters (cc) are there in one milliliter (ml)? A.4 B.0.5 C.1 D.2

1

Convert .125 into fraction form A.1/4 B.1/2 C.1/8 D.1/16

1/8 is the correct answer because .125 in fraction form is 125/1000. To simplify, divide both the numerator and denominator by 125 and it will equate to 1/8. Another way to get the answer is to simply divide 1 by 8 .

What is 10 to the power of 4? A.10,000 B.100 C.10 D.100,000

10,000 is the correct answer because 10 x 10 x 10 x 10= 10,000.

What is 8.4 + 2.3 + 0.05? A.11.2 B.10.75 C.10.25 D.10.705

10.75

Monica bought 7 peaches at the grocery store for $2.94. How many could she buy for $4.62? A.11 B.14 C.9 D.13

11 is the correct answer because $2.94/7 is $0.42. This is how much each peach cost individually. $4.62 divided by 0.42 equals 11.

5 is what percentage of 40? A.12.5% B.25% C.15% D.10.5%

12.5% is the correct answer because 5 divided by 40 is 0.125. To get a percentage, the decimal is moved two places to the right (multiplied by 100) to get 12.5%.

If you lost 4% of your original weight of 168, what would you now weigh? A.161.28 B.159.24 C.164.20 D.160.75

161.28 is the correct answer because to figure out what 4% is, 168 is multiplied by .04 to get 6.72. Then 6.72 is subtracted from 168 to get 161.28.

Reduce 72/108 to its lowest terms. A.6/9 B.2/3 C.72/108 D.1/3

2/3 because if both the nominator and denominator are divided by 36, you will get the correct answer of 2/3.

Which number is a factor of 42? A.9 B.24 C.21 D.40

21 is the correct answer. Factors are numbers you can multiply together to get another number. 21 is a factor because it goes into 42 two times.

What is (-5)2 ? A.(-25)2 B.-25 C.5 D.25

25 is correct. In this situation you address the parenthesis and then the exponent, and the negatives would cancel each other out for a positive answer.

What is (9 + 4) + (13 + 2)? A.9 B.14 C.28 D.20

28 is the correct answer because according to the order of operations, the numbers within the parenthesis must be calculated first. After that is done, the equation left is 13 + 15, which equals 28.

Which of the following is correct? A.3/4 = 9/12 B.4/8 = 8/17 C.5/12 = 15/24 D.2/3 = 7/10

3/4 = 9/12 is correct because if both the numerator and denominator are multiplied by three in 3/4, you get 9/12, and the opposite is true if you divide 9/12 by three. Another way to look at it is 3 divided by 4 is 0.75 and 9 divided by 12 is also 0.75.

Convert 86 degrees Fahrenheit to Celsius using the following formula: (F-32) x 5/9=C A.30 B.34 C.18 D.44

30 is the correct answer because 86-32= 54 and multiplied by the decimal form of 5/9 (0.55) is 30.

12.5 x 24.6 = ? A.308.7 B.307.5 C.366.5 D.327.3

307.5

What number would you need to multiply 3/4 by to get an answer of 1? A.1/4 B.4/3 C.3/1 D.3/2

4/3

What is 80% of 500? A.380 B.412 C.400 D.392

400 is the correct answer because 0.8 multiplied by 500 equates to 400.

What is the value of x if 4x + 3 = 23? A.5 B.6 C.3 D.4

5 is the correct answer because 5 multiplied by 4 equals 20 and when 3 is added, 23.

What is 4 3/8 + 2 2/7? A.6 5/15 B.8 6/56 C.6 37/56 D.6 27/56

6 37/56 is the correct answer because the whole numbers (4 and 2) are first added together to get 6, and then a common denominator must be found for the fractions. 8 multiplied by 7 equals 56, which will be the common denominator in this equation. Whatever is done to the denominator must also be done to the numerator, so the new fractions would be 21/56 and 16/56. Both fractions added together, plus the whole numbers added in the beginning, would equate to 6 37/56.

Which of the following is correct? A.3/4 = 15/25 B.6/8 = 12/16 C.5/9 = 12/18 D.4/6 = 10/12

6/8 = 12/16 is the correct answer because if you multiply the numerator and denominator of 6/8 by 2, you will get 12/16. This is also true for the opposite, in which you divide both the 12 and 16 in 12/16 by 2 to equal 6/8. Another way to look at it is 6 divided by 8 equals 0.75 and 12 divided by 16 also equals 0.75

What is 18 x 34? A.646 B.612 C.408 D.540

612

Which number is in the hundredths place in 0.5983? A.9 B.5 C.8 D.3

9

|7| + |-2| = ? A.5 B.0 C.9 D.14

9 is the correct answer because the brackets around the numbers mean you are adding the absolute value of those numbers. An absolute value looks at the actual number within the brackets and not any sign associated with it, including a negative sign. With that said, 7 +2 = 9.

A number is 5 more than half of another number. How would you write this as a mathematical expression? A.N + 5/2 B.N/2 + 5 C.(N/2) + (5) D.N/5 * 2

N/2 + 5 is correct because the letter N represents any number and according to the order of operations, division comes before addition so it would come first when writing a mathematical expression.

What is x2x4 ? A.x8 B.x6 C.2(x8) D.2x6

x6 is correct because you add the exponents, 2+4