TEAS Pretest: Mathmatics

Cubic units

Used to measure volume. Tells the number of cubes of a given size it will take to fill a three-dimensional figure. One cubic unit is the volume of a cube with sides that measure 1 unit.

measures of central tendency

Ways of calculating averages. Mean is known as the average. Median is the middle value. Mode is the number repeated most often.

Inverse Variation

When an increase or decrease in one variable produces a decrease or increase, respectively, in another variable.

Order of Operations (PEMDAS)

the sequence in which operations are performed when evaluating an expression: Parenthesis, Exponents, Multiplication and Division, Addition and Subtraction.

Numerator

the top integer in a fraction

$1 US is equivalent to about 6.56 Chinese yuan. A two bedroom Presidential suite on the top floor of a high-end hotel in Shanghai, China was listed at 25,000 yuan per night. What is the cost of the suite per night in US dollar?

$3,810.98

There is an 8.75% sales tax on a shirt that costs $30. Which of the following is the correct estimate of the final sale price after tax is added?

$33

The line graph shows ratings of a television show from January- June 2008. What is the average rate of change in number of viewers over time from January to June?

0.68 million viewers/month

In a high school with 3,775 students, 40% are girls and the remainder are boys. How many boys and girls go to the high school?

1,510 girls; 2,265 boys

Cartesian Coordinate System

An ordered pair or ordered triple used to specify a point on a plane or space, respectively

dimensional analysis

Applying the technique of multiplication by 1 with rates to convert from one unit to another

Which of the following statements is an example of negative correlation between two variables?

As a runner's speed increases, the time to reach the finish line decreases.

Addition

Calculation of a total of two or more numbers

Bimodal

Describes a distribution of data with two clear peaks

Data trend

General tendency of numbers in a set

inequality symbols

Greater than (>), less than (<), greater than or equal to (≥) ,less than or equal to (≤) and ≠

Non-negative

Greater than or equal to zero (positive or zero)

common denominator

In a set of two or more fractions, an integer that is divisible by each denominator. That is a multiple of all denominators.

In the equation below, which of the following does the variable "m" represent? p=185-5m

Independent variable

Chart

Information in the form of a table or graph

metric system

International system of units (French SI) based upon powers of ten

length

Measure from end to end

Place value

Numerical value defined by position

Arc

Part of the circumference of a circle

As the number of hours a student studies increases, the student's test scores increases. Which of the following describes the correlation between the number of hours studied and the test score?

Positive correlation

Decimal place value

Powers of ten by position away from the decimal point. Going left: units, tens, hundreds, etc. Going right: tenths, hundredths, thousandths, etc.

Denominator

The bottom number in a fraction

constant of proportionality

The constant ratio between two quantities

circumference

The distance around a circle

Perimeter

The distance around a two-dimensional shape.

least common denominator

The least common multiple of the denominators of two or more fractions.

Point on a graph

The location of a value expressed as (x,y)

Expected value

The most likely value of a random variable

Percent decrease

The negative change between two numbers, divided by the first number, multiplied by 100

Coefficient

The number being multiplied by a variable

Conversion factor

The number used to multiply or divide to convert from one value to another

Percent increase

The positive change between two numbers, divided by the first number, multiplied by 100

least common multiple

The smallest multiple (other than zero) that two or more numbers have in common.

Correlation

The way two variables change together, also known as a covariation

How many cups equal one-half gallon?

8 cups There are 16 cups in one gallon, 1/2 gallon is 8 cups.

Two trees are in Abby's backyard. One tree is 20 feet tall and casts a shadow 8 feet long. If the second tree's shadow at the same time of day is 32 feet long, how tall is the second tree?

80ft.

A student has 32 sheets of paper remaining in his 200 page notebook. What percentage of the paper has he used?

84%

Jason scored 75, 99,87,89,91 on his class tests so far. What is the lowest score Jason needs to get on his next test to have an average test score of at least 90 in his class?

99

pie chart

A circular graph with "slices" suggestive of a pie, the larger the slice, the grater the quantity being represented.

Outlier

A data point that is distinctly separate from the rest of the data.

Expression

A finite string of mathematical symbols (numbers, operations, variables) that are grouped to show a value

Bar graph

A graph that uses vertical or horizontal bars to represent quantities

Operation

A mathematical action

algebraic equation

A mathematical sentence that includes one or more variables

equation

A mathematical sentence that shows that two expressions are equivalent

Fraction

A number expressed as a numerator and denominator

Decimal

A number expressed based on a place value

multiples of a number

A number multiplied by various integers

Axis

A reference line for measurement of coordinates

Irregular shape

A shape in which not all sides and angles are equal

independent variable

A variable that determines the value of another variable

Multiplication

Addition of a number to itself a specified number of times

What is the conversion of 45.2C to Fahrenheit?

113.4F

How many ounces make up 3/4 of a pound?

12 ounces 1lb.=16oz.

Use the graphic to answer the question. Triangle sides (A=9, B=12, C=?) Which of the following is the length of C?

15 Use pythagorean theorem: a2+b2=c2 (squared)

The sum of two unequal numbers is 20,560. The smaller number is 3,745. What is the larger number?

16,815

If sound travels 6,160 feet in 5.5 seconds, how far does it travel in 16.5 seconds?

18,480 ft

The length of the bedroom is a 12 feet and the length of the living room is 16 feet. A floor plan is drawn using a scale of 1inch= 2 feet. Which of the following is the difference between the lengths of the rooms on the floor plan?

2 inches

Which of the following places the given values in order from least to greatest?3/4, 5/8, 2/3, 4/7, 2/5

2/5 4/7 5/8 2/3 3/4

If a pitcher holds 2 L of juice, how many 100mL glasses of juice can be poured from the pitcher?

20 glasses

If a child weighs 54 pounds, how much is the child's mass in kilograms?

24.5 kg 1lb=0.454kg 54x0.454=24.516 24.5kg

A school bake sale sells 4% of its cookies to the first customer. There are 24 cookies left. How many cookies did the bake sale have to start?

25

Which of the following is the product of multiplying twenty-seven and twenty-five hundredths by nine and twenty-seven hundredths?

252.6075

There are 170 calories in a 12oz can of orange soft drink. Which of the following is the amount of calories in a 20oz bottle of the same soft drink?

283 calories

Which of the following expressions represents 237.45 written in expanded form in terms of the sums of power of tens?

2x10^2+3x10^1+7+10^0+4x10^-1+5x10^2 Explanation: After the decimal point in the standard form, these are powers of tenths, also called negative powers of ten. Do not confuse negative powers of ten with subtractions of positive powers of ten.

A school had an enrollment of 12,301 students last year. The current year enrollment is 8,742 students. Which of the following is the decline in enrollment since last year?

3,559

If a newborn weighs 7 pounds, what is the approximate weight in kilograms?

3.2 kg 1lb= 0.454kg 7x0.454=3.178 kg

Based on the information from the table, which of the following is the number of students who wrote more than 3 thank you notes.

34

A client has a temperature of 102.3 degrees F. What is the client's approximate temperature in degrees Celsius?

39 degrees C To convert from degrees Fahrenheit to Celsius: C=(F-32)x5/9 C=39.06 C=39

What is the median of the following series of numbers? 1, 5, 352, 76, 3, 2

4 The mean if even is the middle number. However, since it is odd, reorder the list in order (1, 2, 3, 4, 76, 352).The median is the mean of the two middle numbers which is 3 & 5. 3+5=8.... 8/2=4

Use the table to find answer, what is the conversion of 16fl oz to mL?

473.18mL

Sarah wants to put a 1.5-foot-wide painting in the middle of a 12-foot-wide wall. She wants the painting to be exactly horizontally centered in the wall. What should be the distance be, in feet, from either side of the wall to the edge of the painting?

5.25 feet

A picture framer wants to put decorative foil strips around the perimeters of two square frames. He has a 200cm long foil strip. He will construct the frames so that the foil strip can be cut into two pieces that can be used in its entirety to cover the perimeter of its frame. The length of a side of one square frame is to be 3 times the length of a side of the other square frame. How should he cut the foil strip?

50cm and 150cm pieces

Integers

Whole numbers and their opposites (. . . -3, -2, -1, 0, 1, 2, 3. . .)

graph

a drawing that represents relationships between numbers of data

Line graph

a graph that uses lines or line segments to represent data or trends

Mixed number

a number made up of a whole number and a fraction

irrational numbers

a real number that cannot be expressed as terminating or representing decimals

estimation

a rough calculation of the value, number, quantity, or extent of something.

dependent variable

a variable (often denoted by y ) whose value depends on that of another.

front-end

an estimation method that disregards every digit in a number after the first

legend

an explanation of figures on a chart

Bivariate

containing two variables

erroneous

incorrect

Extraneous

irrelevant

The perimeter of a soccer field is 328m. The length is 36m greater than the width. What are the length of the width of the soccer field?

length: 100m width: 64m

Probability

likelihood that a particular event will occur

Inverse arithmetic operations

mathematical operations that cancel each other out

Contextual

related to surrounding content

division

separation of numbers into parts; the inverse of multiplication

Combine like terms

simplifying an expression by using the distributive property

Absolute difference

the absolute value of the difference of two numbers

Linear units

units used to measure length

direct variation

when two variables increase or decrease at the same rate

17-6x ? 4x - 10 Solve the inequality above. What is the value of x?

x> 27/10