Math Section TEAS Review

Restaurant customers tip their server only 8 percent for poor service. If their tip was $3.70, how much was their bill?

$46.25

A pasta salad was chilled in the refrigerator at 35° F overnight for 9 hours. The temperature of the pasta dish dropped from 86° F to 38° F. What was the average rate of cooling per hour?

(5.3°)/hr

In the Mnemonic Device for remembering the metric units H represents

-hecto (100)

Convert 250 centimeters to kilometers.

0.0025 km

Evaluate 0.30 - 0.03

0.27 Be sure to line up decimals when doing column addition or subtraction of decimal numbers. For ease of subtraction, write 0.3 as 0.30 because the subtrahend has 2 decimal places. Proceed to usual subtraction: 0.30 - 0.03 = 0.27 0.30−0.03−−−−−0.27

Which of these expresses 33/80 as a decimal?

0.4125 Divide the numerator by the denominator: 33 ÷ 80 = 0.4125

What does 68% equal?

0.68

The prefix milli- means

1,000

What is the exact value of 0.4 ⋅ 3.5?

1.4 Multiply: 3.5 ⋅ 0.4 = 1.40 = 1.4

Area of a Trapezoid

1/2h(a +b)

If Leonard bought 2 packs of batteries for x amount of dollars, how many packs of batteries could he purchase for $5.00 at the same rate?

10/x. First set the relationship up and solve for the number of packs: x/2=5/packs; x(packs) = 10; packs = 10/x.

Enrique weighs 5 pounds more than twice Brendan's weight. If their total weight is 225 pounds, how much does Enrique weigh?

151.7 If E + B = 225, and E = 2B + 5, then 225 - B = 2B + 5. Solving for B, 3B = 220 and B = 73.3. 225 - 73.3 = 151.7.

The range of the data 14, 6, 12, 17, 21, 10, 4, 3 is

18 (Higher Value (21) - Lowest Value (3) =18)

What does (4x - y) + (-10 + y) equal if x = 3 and y = 4?

2 Plugging in x and y, you get (4(3) - 4) + (-10 + 4), which is 8 + (-6), or 8 - 6 = 2.

Express this number as a percentage: 9/40

22.5% Divide 9 by 40: 9÷40=0.2259÷40=0.225 Multiply 0.225 by 100% to express as a percentage 0.225⋅100%0.225⋅100% = 2.5%

The mode of the data 21, 26, 22, 29, 23, 29, 26, 29, 22, 23 is

29 (29 is occurs most frequently in the data.)

1 Yard equals

3 feet

Find (27/9) × (√(25) × 2).

30

If Sara can read 15 pages in 10 minutes, how long will it take her to read 45 pages?

30 minutes

What is the missing number in the sequence: 4, 6, 10, 18, ___, 66.

34 Double the number that is added to the previous number. So, 4+2=6, 6+4=10, 10+8=18, 18+16=34, and 34+32=66.

Evaluate this expression. Which of these answers is correct? 2/3 * 5/8

5/12 Multiply the numerators: 2⋅5=102⋅5=10Then multiply denominators: 3⋅8=243⋅8=24 The answer is 10/24 Reduce to its lowest terms by dividing: 10/24 divided by 2 = 5/12

Which of the following is an improper fraction? 2.50 1 3/5 5/2 2/3

5/2

Solve the equation and choose the best answer: 9/b = b/4

6 Cross-multiply: 9⋅4 = b ⋅ b 36= b^2 b^2=36 Then, find the square root of both sides: The actual square root of b2b2 is ±b±b and the actual square root of 36 is ±6±6, so: b= ± 6 b =±6 Of the answer choices for this question, 66 is the best choice since it is the only one that is true about the equation.

The price of a pencil box increased from $25 to $26.50. What is the percentage increase in the price?

6% Subtract to find the difference or increase in price $26.50−$25.00=$1.50$26.50−$25.00=$1.50 Divide the increase with the previous price to compute for the rate of increase $1.50÷$25.00=0.06$1.50÷$25.00=0.06 Convert decimal to percentage form 0.06⋅100%=6%

A store sells two kinds of candles, scented and unscented. The scented burn 1/12 inches in 20 mins. The unscented burns 1/16 inches in 30 mins. Which type of candle burns in 1 Hour and what is its burn rate?

60 Minutes = 1 Hour Scented Candle - 20 Minutes in an hour goes 3 Times (20+20+20=60) - 1/12 *3 = 3/12 - You got to simplify so it will be ¼ Unscented Candle - 30 Minutes in an hour goes 2 times (30+30=60) - 1/16 *2 = 2/16 - You got to simplify so it will be 1/8 Final Answer: scented candle burn in 1 hour and its burn rate is ¼

Multiply 2 1/7×3 2/3.

7 6/7 2 1/7 × 3 2/3 = 15/7 × 11/3 = 165/21 = 7 18/21 = 7 6/7.

The median of the data 23, 49, 87, 75, 88, 59, 89 is

75 (75 is the middle most observation is the given median of the data)

Loral received all her grades for the semester (in parentheses) along with the weight for each grade, shown below. What is her final grade? Weight 45% = 3 tests (80%, 75%, 92%) 25% = final (88%) 15% = paper (91%) 15% = 2 oral quizzes each worth 25 points (22, 19)

85 Calculate the weighted average of the 3 tests: ((80+75+92))/3 = 82.3; Calculate the average of the 2 oral quizzes: (22/25) ×100 = 88 and (19/25) × 100 = 76, so (88 + 76)/2 = 82. Multiply each grade by their weight, and then add them all up to determine the final grade:(82 × .45) + (88 × .25) + (91 × .15) + (82 × .15) = 85.

Area of a Triangle Formula

A = 1/2bh

Area of a Square Formula

A = s²

Area of a rectangle

A=lw

Area of a Circle Formula

A=πr²

A worker is paid 2,350 monthly and has $468 withheld from each monthly paycheck. Which of the following is her annual salary? A. 27,732 B. 22,584 C. 28,200 D. 33,816

B. 22,584 is Paid $2350 monthly - $468 withheld each monthly paycheck = $1882 * 12 month = $22584 Annual Salary

Circumference of a Circle

C=2πr

In the Mnemonic Device for remembering the metric units the second D represents

Deci (0.1)

Choose the algebraic expression that best represents the following situation: Jeral's test score (J) was 5 points higher than half of Kara's test score (K).

J = 1/2 K + 5

Mnemonic Device for remembering the metric units in descending order

King Henry Died Unexpectedly Drinking Chocolate Milk

Convert decimal to percent by

Multiplying by 100 then move decimal two places to the right.

Percent Increase Formula

New Value - Original Value---------------------------------- x 100Original Value

Percent Decrease Formula

Original Value - New Value---------------------------------- x 100Original Value

In the Mnemonic Device for remembering the metric units U represents

Unit meter Liter Gram (1)

Volume of a Pyramid

V = 1/3Bh

Volume of a Cube

V=s³

Volume of a Cylinder

V=πr²h

Irrational Number

a number that can NOT be expressed as a ratio of two integers or as a repeating or terminating decimal - Pi or any square root of an imperfect square are considered irrational

Rational Number

any number that can be written as a fraction EX: 1/2

In the Mnemonic Device for remembering the metric units C represents

centi (0.01)

In the Mnemonic Device for remembering the metric units D represents

deka (10)

Covert percent to decimal by

dividing by 100

Erroneous

incorrect, containing mistakes

Extraneous

inessential; not constituting a vital part

Mean

is the average, where we add numbers and divide by total number of numbers.

In the Mnemonic Device for remembering the metric units K represents

kil (1000)

In the Mnemonic Device for remembering the metric units M represents

milli (0.001)

Solution

the answer

Median

the middle score in a distribution; half the scores are above it and half are below it

Mode

the most frequently occurring score(s) in a distribution

Terminate

to end