Ace the ASVAB: Empower Edition

What is the formula for Distance?

Distance= Rate x Time (D=rt)

What is the formula for Rate?

Rate= Distance / Time (r=d/t)

What is the formula for Time?

Time= Distance / Rate (t=d/r)

What is the formula for Part?

Part=Percent x Whole

What is the formula for Percent?

Percent=Part/Whole

What is the formula for Whole?

Whole=Part / Percent

How do you find percent increase?

(Increase / Original) x 100

How do you find percent decrease?

(Decrease / Original) x 100

How do you convert a percent to a decimal?

Divide by 100

How do you convert a decimal to a percent?

Multiply by 100

What is a Proportion?

a/b=c/d

How do you solve a Proportion?

ad=bc

What is the formula for the area of a rectangle?

Area= Length x Width

What is the formula for the perimeter of a rectangle?

Perimeter=2(l) + 2(w)

What is the formula for the area of a triangle?

Area=1/2base x height

What is the formula for the perimeter of a triangle?

Perimeter= a + b + c

What is the formula for the area of a circle?

A=πr²

What is the formula for the circumference of a circle?

C=2πr

What is the formula for the diameter of a circle?

Diameter=2r

What is the formula for the volume of a rectangular prism?

Volume= Length x Width x Height

What is the formula for the volume of a cube?

Volume=a³

What is the formula for the volume of a cylinder?

V=πr²h

What is the distributive property?

a(b+c)=ab+ac

What is the slope-intercept form of a line?

y=mx+b

What does m represent in y=mx+b?

Slope

What does b represent in y=mx+b

Y-intercept

What is the Order of Operations?

PEMDAS

What does a² mean?

a x a

What is the rule for multiplying exponents?

a^m x aⁿ =a^(m-n)

What is the rule for dividing exponents?

a^m / aⁿ=a^(m-n)

What is the power rule for exponents?

(a^m)ⁿ=a^(mxn)

What is a square root?

A number that multiplies by itself to equal the original number.

What is the formula for work?

Work=Rate x Time

What is the formula for average?

Average=Sum / Number

What does π equal?

3.14

What is the formula for Pythagorean Theorem?

a²+b²+c²

What is the formula for Simple Interest?

P x R x T (P= Principal R=Interest Rate T= Time in Years)

Who invented the telephone?

Alexander Graham Bell

What is the abbreviation for “Environmental Protection Agency”?

EPA

Perimeter

Add all the sides: String, Surround, Rope, Fence

Area

Length x Width: Brick, Tile, Carpet, ft², Paint, Grass, Cover, yds²

3/8

37.5% 0.375. Three eighths equals thirty-seven point five percent equals zero point three seven five

3/4

75% 0.75. Three fourths equals seventy-five percent equals zero point seven five

1/4

25% 0.25. One fourth equals twenty-five percent equals zero point two five

2/3

66.7% 0.67. Two thirds equals sixty-six point seven percent equals zero point six seven

1/3

33.3% 0.333. One third equals thirty-three percent equals zero point three three three

5/8

62.5% 0.625. Five eighths equals sixty-two point five percent equals zero point six two five

7/8

87.5% 0.875. Seven eighths equals eighty-seven point five percent equals zero point eight seven five

1/10

10% 0.1. One tenth equals ten percent equals zero point one

1/20

5% 0.05. One twentieth equals five percent equals zero point zero five

1/12

8.33% 0.083. One twelfth equals eight point three percent equals zero point zero eight three

1/8

12.5% 0.125. One eighth equals twelve point five percent equals zero point one two five

5/6

83.3% 0.833. Five sixths equals eighty-three point three percent equals zero point eight three three

1/6

16.7% 0.167. One sixth equals sixteen point seven percent equals zero point one six seven

4/5

80% 0.80. Four fifths equals eighty percent equals zero point eight zero

3/5

60% 0.60. Three fifths equals sixty percent equals zero point six zero

2/5

40% 0.40. Two fifths equals forty percent equals zero point four zero

1/5

20% 0.20. One fifth equals twenty percent equals zero point two zero

1

100% 1.0. One equals one hundred percent equals one point zero

1/2

50% 0.5. One half equals fifty percent equals zero point five

Order of a Word

Prefix + Root + Suffix

Prefix = beginning

Root= main meaning

Suffix= end

What is the meaning of the prefix word “un”?

Meaning: Not

Example Word: unhappy

Example Sentence: She felt unhappy after losing the game.

What is the meaning of the prefix word “re”?

Meaning: Again

Example Word: Rewrite

Example Sentence: The teacher asked me to rewrite my essay.

What is the meaning of the prefix word “pre”?

Meaning: Before

Example Word: Preview

Example Sentence: We watched a preview of the movie.

What is the meaning of the prefix word “dis”?

Meaning: Not/Opposite

Example Word: Disagree

Example Sentence: I disagree with that opinion.

What is the meaning of the prefix word “mis”?

Meaning: Wrong

Example Word: Misplace

Example Sentence: I misplaced my keys this morning.

What is the meaning of the prefix word “over”?

Meaning: Too Much

Example Word: Overwork

Example Sentence: He began to overwork himself

What is the meaning of the prefix word “under”?

Meaning: Too Little

Example Word: Underpaid

Example Sentence: The employee felt underpaid

What is the meaning of the prefix word “inter”?

Meaning: Between

Example Word: International

Example Sentence: She traveled on an international flight

What is the meaning of the prefix word “sub”?

Meaning: Under

Example Word: Submarine

Example Sentence: The submarine traveled underwater

What is the meaning of the prefix word “trans”?

Meaning: Across

Example Word: Transport

Example Sentence: Trucks transport goods across the country

What is the surface area of a rectangular prism?

SA=2(WxH)+2(WxL)+2(HxL)

What is the meaning for the suffix word “er”?

Meaning: Person Who

Example Word: Teacher

Example Sentence: The teacher explained the lesson

What is the meaning of the suffix word “ist”?

Meaning: Person who practices

Example Word: Artist

Example Sentence: The artist painted a mural

What is the meaning of the suffix word “less”?

Meaning: Without

Example Word: Careless

Example Sentence: He made a careless mistake

What is the meaning of the suffix word “ful”?

Meaning: Full Of

Example Word: Joyful

Example Sentence: She felt joyful on her birthday

What is the meaning of the suffix word “able”?

Meaning: Capable Of

Example Word: Washable

Example Sentence: The jacket is washable

What is the meaning of the suffix word “ment”?

Meaning: Action/Result

Example Word: Movement

Example Sentence: The movement of the crowd caused noise

What is the meaning of the suffix word “ness”?

Meaning: State Of

Example Word: Happiness

Example Sentence: Happiness is important for health

What is the meaning of the suffix word “ly”?

Meaning: In A Certain Way

Example Word” Quickly

Example Sentence: She ran quickly to the bus

What is the meaning of the suffix word “tion”?

Meaning: Act/Process

Example Word: Education

Example Sentence: Education is important for success

What is the meaning of the suffix word “ology”?

Meaning: Study Of

Example Word: Biology

Example Sentence: Biology is the study of life

What is the meaning of the root word “bio”?

Meaning: Life

Example Word: Biology

Example Sentence: Biology studies living organisms

What is the meaning of the root word “dict”?

Meaning: Say

Example Word: Predict

Example Sentence: Scientists predict storms

What is the meaning of the root word “port”?

Meaning: Carry

Example Word: Transport

Example Sentence: Ships transport goods overseas

What is the meaning of the root word “struct”?

Meaning: Build

Example Word: Construct

Example Sentence: Workers construct buildings

What is the meaning of the root word “spect”?

Meaning: Look

Example Word: Inspect

Example Sentence: The officer will inspect the vehicle

What is the meaning of the root word “tract”?

Meaning: Pull

Example Word: Attract

Example Sentence: Flowers attract bees.

What is the meaning of the root word “graph”?

Meaning: Write

Example Word: Autograph

Example Sentence: She asked the singer for an autograph

What is the meaning of the root word “phon”?

Meaning: Sound

Example Word: Telephone

Example Sentence: I called him on the telephone

What is the meaning of the root word “vis/vid”?

Meaning: See

Example Word: Vision

Example Sentence: His vision is very sharp

What is the meaning of the root word “cred”?

Meaning: Believe

Example Word: Credible

Example Sentence: The witness gave a credible story

What is the meaning of the root word “form”?

Meaning: Shape

Example Word: Reform

Example Sentence: The law may reform the system

What is the meaning of the root word “therm”?

Meaning: Heat

Example Word: Thermometer

Example Sentence: The thermometer measures temperature

What is the meaning of the root word “auto”?

Meaning: Self

Example Word: Automatic

Example Sentence: The door opens automatically

What is the meaning of the root word “chrono”?

Meaning: Time

Example Word: Chronological

Example Sentence: The events were listed in chronological order

What is the meaning of the root word “geo”?

Meaning: Earth

Example Word: Geography

Example Sentence: Geography studies the Earth

What is the meaning of the root word “logy”?

Meaning: Study Of

Example Word: Psychology

Example Sentence: Psychology studies behavior

What is the meaning of the root word “ped”?

Meaning: Foot

Example Word: Pedestrian

Example Sentence: A pedestrian crossed the street.

What is the meaning of the root word “manu”?

Meaning: Hand

Example Word: Manual

Example Sentence: The manual explains how to use the machine