Praxis (5004) Math Patterns, Formulas, and Conversions

Question 1

Commutative Property of Addition

Answer 1

A + B = B + A

Question 2

Commutative Property of Multiplication

Answer 2

A x B = B x A

Question 3

Associative Property of Addition

Answer 3

(A + B) + C = A + (B + C)

Question 4

Associative Property of Multiplication

Answer 4

(A x B) x C = A x (B x C)

Question 5

Distributive Property

Answer 5

A x (B + C) = AB + AC

Question 6

Cross Multiplication A/B = C/D

Answer 6

AD = BC

Question 7

Percent

Answer 7

Part/Whole x 100%

Question 8

Motion Problems: Distance

Answer 8

D = RT
distance equals rate times time

Question 9

Work Problems: Amount

Answer 9

A = RT
amount equals work rate times time

Question 10

How many inches in a foot?

Answer 10

12 in = 1 ft

Question 11

How many feet in a yard?

Answer 11

3 ft = 1 yd

Question 12

How many feet in a mile?

Answer 12

5380 ft = 1 mi

Question 13

How many yards in a mile?

Answer 13

1760 yds = 1 mi

Question 14

How many meters in a kilometer?

Answer 14

1000 m = 1 km

Question 15

How many centimeters in a meter?

Answer 15

100 cm = 1 m

Question 16

1 mile equals how many kilometers?

Answer 16

1 mile roughly equals 1.6 km

Question 17

How many ounces in a cup?

Answer 17

8 fluid ounces = 1 cup

Question 18

How many cups in a pint?

Answer 18

2 cups = 1 pint

Question 19

How many pints in a quart?

Answer 19

2 pints = 1 quart

Question 20

How many quarts in a gallon?

Answer 20

4 quarts = 1 gallon

Question 21

A pound is how many ounces?

Answer 21

1 pound = 16 dry ounces

Question 22

How many pounds in a ton?

Answer 22

2,000 lbs = 1 ton

Question 23

How many grams in a kilogram?

Answer 23

1000 g = 1 kg

Question 24

1 kg equals how many lbs?

Answer 24

There are roughly 2.2 lbs in 1 kg

Question 25

How many milliliters in 1 liter?

Answer 25

1000 mL = 1 L

Question 26

Area of a circle

Answer 26

pi r squared

Question 27

Area of a rectangle or square

Answer 27

A = lw or A = s squared

Question 28

Area of a triangle

Answer 28

1/2 bh

Question 29

Volume of a cube

Answer 29

V = s cubed

Question 30

Volume of a rectangular solid

Answer 30

V = lwh

Question 31

Volume of a cylinder

Answer 31

V = (pi r squared)h

Question 32

Volume of a sphere

Answer 32

V = 4/3 pi r cubed

Question 33

Perimeter of a rectangle or square

Answer 33

P = 2b + 2h or P = 4s

Question 34

Pi

Answer 34

approx. 3.14 or 22/7

Question 35

Circumference of a circle

Answer 35

C = pi times diameter or C = 2 pi r

Question 36

Metric Conversions

Answer 36

kilo- (km, kL, kg) 0.001 hecto- (hm, hL, hg) 0.01 deca- (dkm, dkL, dkg) 0.1 meter, liter, gram 1 deci- (dm, dL, dg) 10 centi- (cm, cL, cg) 100 milli- (mm, mL, mg) 1000

Question 37

Mean

Answer 37

Find average; add all numbers and divide by how many numbers were added

Question 38

Median

Answer 38

Place numbers in order; find middle number. If two middle numbers, add them and divide by 2

Question 39

Mode

Answer 39

The number or numbers that occur the most.

Question 40

Range

Answer 40

The difference between the largest and smallest numbers

Question 41

Scientific Notation

Answer 41

a number greater than or equal to 1 and less than 10 multiplied by a power of 10. (Only 1 number in front of decimal point) 68,500 = 6.85 x 10 to the fourth

Question 42

Order of Operations

Answer 42

PEMDAS Please Excuse My Dear Aunt Sally Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right)

Question 43

Convert a decimal to a fraction

Answer 43

Write the decimal (w/out the decimal point) as the numerator and the place value as the denominator

Question 44

Decimal Value of 1/3

Answer 44

0.333

Question 45

Decimal Value of 1/4

Answer 45

0.25

Question 46

Decimal Value of 1/5

Answer 46

0.2

Question 47

Decimal Value of 1/8

Answer 47

0.125

Question 48

Decimal Value of 1/9

Answer 48

0.111

Question 49

Convert a decimal to a percent

Answer 49

Move the decimal point two place values to the right (or multiply by 100) 0.43 x 100 = 43

Question 50

Percent of Change (increase/decrease)

Answer 50

new number - original number (over) original number

Question 51

Convert Celsius to Fahrenheit

Answer 51

F = 9/5C + 32

Question 52

Convert Fahrenheit to Celsius

Answer 52

C = 5/9 (F - 32)

Question 53

Convert Fahrenheit to Kelvins

Answer 53

K = 5/9 (F - 32) + 273

Question 54

Dividing by a negative when solving an inequality

Answer 54

Remember to flip the symbol

Question 55

Slope-intercept form

Answer 55

y = mx + b m is the slope; b is the y-intercept

Question 56

Slope Formula

Answer 56

y2 - y1 / (over) x2 -x1 or rise over run

Question 57

To find the slope, m, from a table...

Answer 57

Use any two points, stack them vertically, subtract. Then use the two differences to find the slope. change in y (over / divided by) change in x

Question 58

Pythagorean Theorem

Answer 58

a squared + b squared = c squared a and b represent the lengths of the two sides that make the right angle and c is the hypotenuse

Question 59

Common Pythagorean triples

Answer 59

3-4-5 6-8-10 5-12-13 the longest side will be the hypotenuse

Question 60

Area of a trapezoid

Answer 60

A = 1/2h (b1 + b2)