TEAS Math

What is the missing number in the sequence: 4, 6, 10, 18, ___, 66. 34 45 54 22

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.

How many pounds are 2 kilograms?

4.4 lbs

Kyra has a budget of $300 for her holiday spending. Kyra decides to buy shoes for her grandchildren. If each pair of shoes costs $40, and Kyra has n grandchildren, which of the following inequalities represents Kyra's budget constraint?

40n ≤ 300 If Kyra buys n pairs of shoes at a cost of $40 each, she pays $40n. Since she only has $300 to spend, $40n must be less than or equal to $300:

Centi

hundredth

Which type of graph is good for plotting quantities that have a cause-effect relationship?

line graph

-8 - 4

-12

-8 x 3 =

-24

1 liter (L) = ___ quarts (qt)

1.057 quarts (qt)

1 meter (m) = ____ centimeters (cm)

100 centimeters (cm)

5 - (-6) =

11 Math: 5 - (-6) = 5 + 6 = 11

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

12%

1 kilogram (kg) = ___ pounds (lb)

2.2 pounds

1/2 teaspoon (tsp) = _____ milliliters (mL)

2.5 milliliters

1 inch = ____ centimeters (cm)

2.54 cm

A map has a scale of 11 inch = 5 miles. If two points on the map are 4.5 inches apart, what is the corresponding distance on the ground?

22.5 miles (4.5 inches x 5 miles/inch = 22.5 miles)

-8 x -3 =

24

1 ounce (oz) = ____grams (g)

28.35 grams

-24 ÷ -8 =

3

5 + 4 x 3 ÷ 2 - 8 =

3 (5 + 4 x 3 ÷ 2 -8 5 + 12 ÷ 2 - 8 5 + 6 - 8 11 - 8 = 3)

How many milligrams are in 4 grams?

4,000 mg

A doctor orders a patient to be given 200 mg of tetracycline syrup once a day. The syrup label shows the concentration to be 50 mg/mL. How many mL should the patient be given?

4.0 mL 200mg x 50 mL/mg = 4.0 mL

1 teaspoon (tsp) = _____ milliliters (mL)

5 milliliters

How many millimeters are there in 5 meters?

5,000

What degrees Fahrenheit is it at 30 degrees Celsius?

86

Equation for the area of a rectangle surface

A = l x w

To add or subtract fractions with like denominators ______.

Add or subtract the numerators as usual and leave the denominators as is. Ex: 5/16 + 7/16 = 12/16 = 3/4 9/12 - 5/12 = 4/12 = 1/3

To convert a fraction to a decimal:

Divide the numerator by the denominator

The product of a negative number multiplied by a positive number is _____.

Negative

The quotient of a negative number divided by a positive number (or vice versa) is _____.

Negative

When multiplying if the number of negative signs is odd the the answer will be ____.

Negative Ex: (-3)(4)(-2)(-5) = -120

Equation for the perimeter of a rectangle

P = 2(l + w) P = perimeter l = length w = width

The product of a negative number multiplied by another negative number is ______.

Positive

The formula for volume is:

V = l x w x h l = length w = width h = height

In expressions involving inequalities, when does the inequality sign reverse in direction?

When a negative sign is introduced to both sides and when the sides of the inequality are swapped. Explanation: See how x is solved in this example and how the inequality sign reverses, −2x<10 The sign reverses when a negative value is introduced: (−12)⋅(−2x)>10⋅(−12)x>−5 And also when the sides are swapped: −5<x

Improper fraction

Whose numerator is larger than its denominator Such as 5/4 or 13/2

Hecto

hundred

Micro

millionth

Deka

ten

Deci

tenth

Perimeter is the:

the distance around the outside of a shape

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 2x 2/x 10x

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? 115 pounds 165 pounds 152 pounds 125 pounds

152 pounds 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.

solve for x 3(x − 4) = 18

x = 10

Solve for x given the equations x + 3 = y − 1 and y= 2x

x = 4 x + 3 = y - 1 Substitute 2x for y in the first equation. x + 3 = 2x - 1 x = 4

What is 300 inches in feet?

25 feet explanation: 300 in x (1ft/12in) = 25ft.

1 meter (m) = ____ feet

3.281 feet

If Sara can read 15 pages in 10 minutes, how long will it take her to read 45 pages? 50 minutes 40 minutes 20 minutes 30 minutes

30 minutes

Give the new coordinates after moving the point (-2, 3) 2 spaces to the right and 3 spaces down.

(0, 0)

Area is the:

Amount of space filled by the surface of a figure or shape

Volume is the

Amount of space that a substance or object occupies in three dimensions

If a is inversely proportional to b and a is tripled, what happens to b?

It is reduced to one third of its original value.

At a comic book store, Robert purchased three comics for $2.65 each. If he paid with a $20 bill, how much change did he receive?

$12.05

-24 ÷ 8 =

-3

-9 - (-3) =

-6 Math: -9 - (-3) = -9 + 3 = -6

-8 + 3 + 7 + (-9) =

-7

Convert 250 centimeters to kilometers.

0.0025km

Convert 5000 m2 to km2

0.005 km2

A large man is upset to see that he weighs 264 lb. His son tells him to change it to kilograms and the number won't be so big. How many kilograms does he weigh?

120kg 264lb x 1kg/2.2lb = 120kg

(5x − 1) (3x + 2)

15x2 + 7x − 2

How many teaspoons does 10 milliliters equal?

2 teaspoons

A patient is prescribed 10 mg of a drug that is available in liquid form as 2.5 mg per mL. What is the required amount of liquid dosage?

4 mL

A box contains apples and oranges. The ratio of apples to oranges is 4:5. If there are 25 oranges, how many fruits are in the box?

45 25 oranges x 4 apples/5 oranges = 20 apples 20 apples + 25 oranges = 45 fruits

5,344 − 57

5,287

Multiply 2 1/7 × 3 2/3. 4/7 1 32/45 1 1/3 7 6/7

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

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 79 88 86

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.

Mixed numbers refers to:

A number that includes a whole number and a fraction such as 3 1/8 or 97 5/16.

To add a combination of negative and positive numbers _______.

First add the two types of numbers separately Then subtract the smaller sum from the larger sum and then label the resulting difference with the sign that matches the larger sum. -8 + 3 + 7 + (-9) = -17 + 10 = -7

Adding a group of all negative numbers is carried out by __________.

Initially adding them as if they were positive, and then labeling the resulting sum with a minus.

A company did a survey asking customers to rate a product on a scale of 1 to 5. What type of graph would best be used to present the data?

bar graph

Which type of graph is best used to display how a larger whole is divided into parts?

circle graph, also called a pie chart

To change improper fractions into mixed numbers:

divide the numerator by the denominator, producing the whole number and using any remainder as the numerator of the fraction Ex: 5/4 becomes 1 1/4 13/2 becomes 6 1/2

For the following multiplication problem, what is the sign of the product? (−5.3) × (−6.2) ×(17) × (12.8) × (−0.5) × (10)

negative You do not have to calculate the product to know if the sign is negative or positive. There are an odd number of factors (3) with a negative sign, so the product will have a negative sign.

Milli

thousandth

What direction is the long, drawn-out tail pointing in data that has a skewed left distribution?

to the left

To divide fractions:

multiply by the reciprocal Ex: 6/8 ÷ 1/4 = 6/8 x 4/1 = 24/8 = 3/1 = 3

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?

$330

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?

$443.50 First you must calculate how many hours the nurse works each week. Three 8-hour shifts plus one 12-hour shift equals 36 hours per week. Beginning Salary = 36 x $17.81 = $641.16 Deductions = $102.80 + $24.58 + $18.13 + $52.15 = $197.66 Take-Home Pay = $641.16 − $197.66 = $443.50

Restaurant customers tip their server only 8 percent for poor service. If their tip was $3.70, how much was their bill? $50.45 $46.25 $44.60 $40.15

$46.25 The total amount of the bill is: 3.70/x = 8/100; 370 = 8x; x = $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? (5.15°)/hr (0.532°)/hr (4.8°)/hr (5.3°)/hr

(5.3°)/hr The average rate of cooling is: ((86º - 38º))/9 hrs; (48º)/9 = 5.33º F per hour.

Which of the following is equivalent to 0.0009? 1) 0.00% 2) 0.01% 3) 0.09% 4)0.90%

0.09%

Convert 500 milliliters to liters.

0.5 liter

What does 68% equal? 6800 6.8 0.68 0.0068

0.68

Normal saline solution contains 0.45 g of salt in 500 mL of solution. What is its concentration in g/L?

0.90 g/L 0.45g/0.500L = xg/1L x = 0.90 g/L

2 − 8 ÷ (24 ÷ 2) =

1

In the number 4,567.018, which digit is in the hundredths place?

1

Which type of graph would best indicate the percentage of a school's annual scholarship fund spent on freshman students? 1) pie chart 2) line graph 3) scatter plot 4) histogram

1) pie chart

Timmy can usually make six paper airplanes in an hour. However, if he gets interrupted by his parents, he can only make four per hour. His friend John can make seven paper airplanes per hour. One day, Timmy and John decide to have a three-hour long contest to see who can make the most paper airplanes. During the contest, Timmy is interrupted once every hour. John also had to take a break and do chores for an hour. How many more paper airplanes does the winner make?

2 Because Timmy is interrupted during each hour, he can only make four paper airplanes per hour, multiplied by 3 hours, for a total of 12 airplanes. John makes seven paper airplanes during the two hours he works without chores, for a total of 14 airplanes. 14 airplanes minus 12 airplanes equals 2.

What does (4x - y) + (-10 + y) equal if x = 3 and y = 4? -2 22 14 2

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

A bar graph shows the annual population of Grade 2 pupils from 2010 through 2014 as follows: 258, 199, 206, 260 and 281, respectively. In what year did the biggest increase occur?

2013 The change in yearly population is the difference between the populations. In 2011, the population decreased. Thereafter, the increases were as follows: 7 in 2012, 54 in 2013, and 21 in 2014.

A toy manufacturer makes 15,000 toys a year. The company randomly selects 300 of the toys to sample for inspection. The company discovers that there are 5 faulty toys in the sample. Based on the sample, how many of the 15,000 total toys are likely to be faulty?

250 The sample indicates that 5 out of every 300 randomly selected toys will be faulty. Consequently, a proportion can be set up that relates the unknown number of faulty toys in the total number of toys to the ratio of faulty toys to the sample. Stated otherwise: T is the unknown number of faulty toys in the total. Multiply both sides by 15,000 and then divide the left hand side by 300 to solve for T:

How many kilograms is 3,500,000 milligrams?

3.5 kg

What is the total estimate obtained by adding 1.49 mL, 0.45 mL, and 1.47 mL together after rounding each of the amounts to an appropriate number of places?

3.5 mL

Jericho needs to answer 50 questions on a test. After 30 minutes, he has answered 15 questions. At this point, what part of the test has he completed? Express the answer as a fraction, decimal and percentage.

3/10, 0.3, and 30%

Find (27/9) × (√(25) × 2).

30 Remember the order of operations: (27/9) = 3 and (√(25) × 2) = 10; 3 × 10 = 30.

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

308

What is 181.5% of 18?

32.67

Amanda wants to paint the walls of a room. She knows that each can of paint contains one gallon. A half gallon will cover a 55 square feet of wall. Each of the four walls is 10 feet high. Two of the walls are 10 feet wide and two of the walls are 15 feet wide. How many 1-gallon buckets of paint does Amanda need to buy in order to fully paint the room?

5 First, we must calculate the area of the walls Amanda wants to paint. Two of the walls are 10 x 10 and two of the walls are 10 x 15: 2 (10 x 10) = 200 2 (10 x 15) = 300 So the total square footage of the walls is 500. If a half gallon of paint will cover 55 square feet, then each gallon will cover 110 square feet. Four gallons would only cover 440 square feet. Five gallons will cover 550 square feet, which will be enough for all 500 square feet of walls.

There are 48 students studying foreign language at the community college. If the only two foreign languages offered are French and Spanish, and 28 students are studying French, which of the following represents the ratio of students studying Spanish to the total number of foreign language students?

5/12

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

5/2

Convert 5843 millimeters to centimeters.

584.3 cm

(7y2 + 3xy − 9) − (2y2 + 3xy − 5)

5y2 − 4 When subtracting polynomials the first step is to distribute the negative sign through the parentheses. This changes the sign on each term inside the parentheses:

54/8 − 3/4 = ?

6 (54/8 - 6/8 = 48/8 = 6)

Express 5/8 as its closest rounded percentage

63%

If a car travels 360 kilometers in 5 hours, how far will it travel in 9 hours?

648 Given that it took 5 hours to travel 360km, we can set up a ratio equation to figure out how far the car will travel in 9 hours. 360/5 = x/9 72 = x/9 72*9 = x x = 648

To you add or subtract fractions with different denominators ______.

First rewrite the problem, using equivalent fractions that share the least common denominator Ex: 3/4 + 1/6 9/12 + 2/12 = 11/12 Least common denominator is 2

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 J = 2K - 5 K = (J - 1/2) - 5 K = 1/2 J - 5

J = 1/2 K + 5

The quotient of a negative number divided by another negative number is ______.

Positive

When multiplying if the number of negative signs is even the answer will be _____.

Positive Ex: (-3)(4)(2)(-5) = 120

To solve a subtraction problem involving a negative number or negative numbers _____.

Reverse the sign of the number that is being subtracted and then add. -8 - 4 = -8 + (-4) = -12

To multiply fractions:

multiply the numerators and multiply the denominators Ex: 1/7 x 2/9 = 1x2/7x9 = 2/63

greatest common factor (GCF)

The largest number by which both the numerator and denominator can be evenly divided by.

Which statistical property does the standard deviation measure?

the spread of the data

Kilo

thousand

Two variables are known to have a positive covariance. If these variables are plotted on a line graph, the direction of the line will be ____.

upward, to the right

5y − 8 > 32

y > 8

−1/4, π, 3/8, −0.2 Order the above list of numbers from least to greatest.

−1/4, −0.2, 3/8, π