Math exam study guide

If Craig's job pays a daily rate of $125/1 day, how many days will it take for Craig to purchase a car that costs $2250?

18 days

4 1/3 + 5/3 =

18/3 = 6

|-5| - |-3|=

2

|4| • |-8|=

32

Area of square

Length x Width

4/x = 32/40

X=5

4x + 9 = 29

X=5

indeterminate

uncertain; not clearly fixed; indefinite

(5•2+10)÷ 2 to second power

(5•2+10)÷ 2 to second power (10+10)÷ 2 to second power (20)÷ 2 to second power 20 ÷ 4= 5

Associative Property of Addition

(a + b) + c = a + (b + c) if 3 whole numbers are to be added, the sum will be the same if the first 2 are added first, then that sum is added to the 3rd

-8x + 9 = 17

-8x + 9 = 17 -9 -9 -8x = 8 (-8x)(-8) = (8)(-8) = x = -1

What is the only number that is in the set of whole numbers but is not in the set of natural numbers?

0

0/0 =

0/0 is known as indeterminate. But any number multiplied by 0 is 0 and so there is no number that solves the equation. In general, a single value can't be assigned to a fraction where the denominator is 0 so the value remains undefined

Convert to mixed number: 8/5

1 3/5

Factors of 36

1, 2, 3, 4, 6, 9, 12, 18, 36

0.2 + 6/5

1.4 or 14/10

1/4 + (3/4 + 1/8 • 2)

1/4 + (3/4 + 1/8 • 2) 1/8 • 2 = 1•2/8•1 = 2/8 = 1•2/4•2 = 1/4 (add to 3/4) 1/4 + (3/4 + 1/4) 1/4 + (1)= 1 1/4

1 gram =

1000 mg .001 kg

Convert 1490 grams to kg

1490 g • (1 kg/1000 g) = 1.490 kg

Simplify 1530 minutes

1530 minutes = 25 hrs + 30 min = 1 day + 1 hr + 30 min

16 is what percentage of 71?

16/71 = 22.5% divide 16 by 71

Convert 1780 ft to mi

1780 ft • (1 mi/5280 ft) = 0.337 mi

Convert 2.91 to mixed number

2 91/100

Round 2.345 to nearest tenth

2.3

Round 23,589 to nearest thousand

24,000

LCM of 9 and 27

27 is LCM of 9 and 27

Convert 1/6 to equivalent fraction with denominator of 18

3/18

three-hundred thousand, forty six

300,046

Least common denominator of 4/5 and 5/9

45 if you convert them, the results will be 4/5 • 9/9 = 36/45 and 5/9 • 5/5 = 25/45

Which is larger: 14/13 or 5 1/3

5 1/3

5/2 • 1/8

5/2 • 1/8 5•1/2•8 5/16

1 mile =

5280 ft

Convert 0.73 to a fraction and percentage

73/100 & 73%

9•9•9•9•9 =

9 to the 5th power

Is 5 1/3 </> 14/3

>

Find area and circumference of a circle with radius 5

A = (3.14•5 squared) = 25•3.14= 78.54 units squared C = 2•5•3.14 = 10•3.14 = 31.42 units

Jennifer wants at least a C (70%) in her math class, the final grade comes from two scores, assignments (70% of grade) and final exam (30% of grade). If she has 72/100 on assignments, what is the minimum score she needs on the exam (50 questions, 50 points) to pass the class?

A grade = 72/100 = 72% 72% • 70% = .72 • .7 = .504 = 50.4% score without exam grade = 50.4% 70% - 50.4% = 19.6 % she will need to gain 19.6% of 30% exam grade to pass 19.6%/30% = 65.33% She would need a 65.33% on exam to pass the class apply that to total number of questions to find how many she needs correct 50 • .6533 = 32.66 33/50 to pass

Rate

A ratio that compares two quantities measured in different units

Area of a circle

A=πr²

Whole number

All positive, non-decimal, non-fractional integers

Integer

All whole numbers (both positive and negative) and zero.

Term

Each number in a sequence

GCF of 20 and 64

Factors of 20: 1,2,4,5,10,20 factors of 64: 1,2,4,8,16,32,64 GCF= 4

Undefined

It is when the denominator equals zero. When we have a denominator that equals zero, we end up with division by zero. We can't divide by zero in math, so we end up with an expression that we can't solve

Simplified denominate number

Number with simplified units ex: 1530 minutes = 25 hrs + 30 min = 1 day + 1 hr + 30 min

Factors

Numbers that are multiplied together to get a product

Radius (r)

The distance from the center of a circle to any point on the circle

Natural number

The set of numbers 1, 2, 3, 4, ... Also called counting numbers.

Value of the indicted digit: 7 in 87,925

Thousands, 7000

Communitive property of addition

a + b = b + a if 2 whole numbers are added in any order, the sum will not change

Ratio

a comparison of two numbers by division

Factor

a number that is multiplied by another number to find a product

Denominate number

a number with a word that designates units ex: 1530 minutes

non-terminating decimal

decimal that continues without end ex: 1/3 = 0.3333333333333....

Quotient

the answer to a division problem

Product

the answer to a multiplication problem

diameter (d)

the distance across a circle through its center

Circumference (2•r•pi)

the perimeter of a circle

√25 - √4

√25 - √4 = (5) - (2) = 3