Math part 2

The example 8^4 would he written out as _______

"8 to the 4th power" or "8 raised to the power of 4"

(x+4)^2 A. x^2 + 8x +8 B. x^2 + 4x + 8 C. x^2 + 8x + 16 D. x^2 + 4x + 16

(x + 4)(x + 4) = x^2 + 4x + 4x + 16 = x^2 + 8x + 16 C.

Whats the negative reciprocal of -7 =

-1/7

The reciprocal of 4 2/4 =

-4/18

A fraction who's denominator is greater than its numerator is known as a (an) ___1.___ fraction & a fraction, whose numerator is greater than its denominator is known as a (an) ___2.___ fraction A. Proper B. Improper

1. A 2. B

When a number has an exponent of "2" it is considered ___1.____ But when a number has an exponent of "3" it's considered ____2.___ A. Squared B. Cubed C. Fractioned D. Divided

1. A 2. B

When two numbers are being divided, one number (the ___1.___) tells us how many parts to divide the other number (the ___2.__) into A. divisor B. dividend

1. A 2. B

In multiplication, one number (the ___1.___) indicates how many times to add the other number (the ___2.__) to itself A. Multiplicand B. Multiplier

1. B 2. A

In subtraction operation, it decreases the value of one quantity (the __1.___) by the value of another quantity (the __2.___) A. subtrahend B. Minuend

1. B 2. A

proper fractions have values __1.__ than one and improper fractions have value is __2.__ than one A. Greater B. Less

1. B 2. A

A negative exponent is the same as a positive _____. A^-n = _____ A. 1/a^n B. 1 x a^n n C. m - n D. A^n^x^m

1/a^n (reciprocal) Exponent

11 is what percent of 20? "11 is" means 11= p x (of) 20 Solve A. 33% B. 44% C. 55% D. 69%

11 = 20p —> 11 / 20 = 20p / 20 —> 55% C.

2^4 A. 64 B. 32 C. 8 D. 16

2x2x2x2 = 16 D.

3 is 60% of what number? "3 is" means 3 = 60% x (of) n Solve A. 2 B. 3/4 C. 24 D. 5

3 = 60% x (of) n —> 3 = 60n —> 3\.60 = 60n\.60 —> 5 = n

50 is 20% of what number? "50 is" means 50 = 20% x (of) n Solve A. 250 B. 270 C. 1 D. 2

50 = 20n 50/.20 = 20n/ .20 250 = n

5.34 = _____ % 0.27 = _____ % 700% = ______ 0.15% = ______

534% 27% 7.00 0.0015

$56.75 is the check (whole) and a 20% (percentage) tip wants to be left given. How do you calculate?

56.75 x of 20 = 11.35

Whats the reciprocal of -1/8?

8

When you deal with a percentage problem, there are 3 components in each of these cases: a _____, a ______, and a ______. A. Part B. Piece C. Percentage D. Whole

A (part), C ( percentage), D (Whole)

The formula to find a percentage increase of a number, you must use the formula I = increase, O = original number, N = new number I = N-O / O x 100 Memorize for next flashcard, you will have to restate A. Got it down B. Still need review

A.

(X-7)^2 A. x^2 - 14x + 49 B. x^2 + 7x + 49 C. x^2 + 14x - 49 D. x^2 + 7x + 49

A. (x-7)(x-7) = x^2 - 7x - 7x + 49 = x^2 - 14x + 49

(-7)^3 A. -343 B. -49 C. 343 D. 49

A. -343

Whats 2/6 + 2/6? A. 2/3 B. 4/6 C. 4/12 D. 1 1/2

A. 2/3 (simplified)

19 +7 (26 - 48 / 2)^3 + 3 x 6 A. 93 B. 1,902 C. 173 D. 251

A. 93

In addition, both numbers being added together are called ______ A. Addends B. Factors B. Numbers C. Integers

A. Addends

When two numbers are in a subtracting operation, this obtains a _____ A. Difference B. Quotient C. Sum D. Product

A. Difference

When adding or subtracting fractions and two fractions happen to have a common denominator, they can be added or subtracted simply by adding or subtracting the two ______ and retaining the _______. A. Numerators, denominators B. Denominators, numerators C. Integers, denominators D. mixed numbers, numerators

A. numerators, denominators

Which of the following is a correct statement? A. (6x4)^2 =6^2+42^2 B. (3x7)^6 = 21^6 + 7^6 C. (7x9)^3 = 7^3 + 9^3 D. (4x2)^5 = 4^5 - 2^5

Answer: The correct answer is (7 × 9)^3 = 7^3 x 9^3. This is an example of the power of product property, which says: (b X c)^x = b^x X c^x. In other words, when two numbers are multiplied together and then raised to a power, it is the same as saying the first number raised to the power times the second number raised to the power.

47^0 = A. 0 B. 1 C. 1/47 D. 47

B. 1

a^0 = ____ A. 0 B. 1 C. a D. -1

B. 1

To write a decimal number in proper fractions form you must write the decimal into fraction form over __, you must then get rid of the decimal by _____ by tens, hundreds, thousands to both denominator & numerator. A. 2, dividing B. 1, multiplying C. 1, adding D. 2, multiplying

B. 1, multiplying

Which statement best illustrates the commutative property? A. 12 ÷ 3 = 3 ÷ 12 B. 12x3=3x 12 C. 12 - 3 = 3 - 12 D. 12 + 3 = 15

B. 12x3=3x 12 The commutative property applies only to multiplication & addition

To multiply a rational numbers with decimals, multiply both rational numbers first by first excluding the ___1.__. After getting result, count amount of decimal places to the right of decimal places there are on both the multiplier & the multiplicand and count that many spaces on final result to place decimal moving from __2.__ to __2.__ of the final answer. Ex. Do 12.3 x 2.56 1. A. Numerators B. Decimals C. Denominators D. Multiplicands 2. E. LEFT, RIGHT F. RIGHT, LEFT

B. Decimals Step 1: 123 x 256 = 31,488 Step 2: (3 places to the right on multiplicand & multiplier) 2. F. Begin from RIGHT side of number & move LEFT 3 spaces to place decimal. 31.488 <—

If two fractions do not already have the same ______, they must be manipulated to achieve a common ______ BEFORE they can be added or subtracted (before simply subtracting ______) A. Numerator x2, denominators B. Denominator x2, numerators C. Sign x2, denominators D. Integer x2, numerators

B. Denominator x2, numerator

Using PEMDAS, what operation follows next? 5+20÷4×25−6 A. Multiply B. Divide C. Add D. Subtract

B. Divide Using the rules of PEMDAS going from LEFT to RIGHT

The word percentage mean "per _____" A. Ten B. Hundred C. Thousand D. Fraction

B. Hundred

To turn 0.24 into a fraction, first place 0.24 ____ 1, second multiply by ____ to both denominator & numerator to get rid of decimal, lastly simplify if needed. Complete the task. A. Under, 1000 B. Over, 100 C. Under, 10 D. Over, 1000

B. Over, 100 0.24 —> 0.24/1 x 100/100 = 24/100 (simplify by diving both by GCD which is 4) 24/100= 6/25

When two numbers are divided, they obtain a ______ A. Difference B. Quotient C. Sum D. Product

B. Quotient

If you divide both numbers by a common factor, you are _______ or simplifying the fraction A. Rationalizing B. Reducing C. Subtracting D. Dividing

B. Reducing

A^m x A^n = ________ A. mn B. m + n C. m - n D. m

B. m + n

1^1 = A. 0 B. -1 C. 1 D. 2

C. 1

Whats the answer for 2/4 + 3/6? A. 1/2 B. 2 C. 1 D. 1/4

C. 1 2/4 x 3/3 + 3/6 x 2/2 = 6/12 + 6/12 = 12/12 = 1

To convert from PERCENTAGE to a DECIMAL, simply move the decimal ___ places to the _____ So 86% would = ______ A. 1, left B. 1 right C. 2, left D. 2, right

C. 2, left 0.86

3/2 / (divided by) 5/4 = _____ A. 3/2 B. 2/3 C. 6/5 D. 5/6

C. 6/5 3/2 x 4/5 = 12/10 = 6/5

When ______ with fractions, you must flip the second numerator & denominator to its reciprocal and then _____ straight across A. Subtracting, add B. Adding, divide C. Dividing, multiply D. Multiplying, divide

C. Dividing, multiply

A ______ number is a number that contains both an integer & a fraction (ex: 1 3/5) A. Proper B. Improper C. Mixed D. Fraction

C. Mixed

When you see the question "what is 60% of 5?" What does the term " of" mean? Solve the question A. Addition B. Subtraction C. Multiplication D. Division

C. Multiplication The number equal to 60% is figured out by 60% = 0.60 x (of) 5 = 3

A(n)______ is a mathematical process that takes some value(s) as input(s) and produces an output. A. Equation B. Process C. Operation D. Factor

C. Operation

When you divide the percentage number by 100 and reduce/simplify the fraction to its simplest possible terms, you are converting a ______ to a ______ A. Decimal, fraction B. Fraction, decimal C. Percentage, fraction D. Fraction, percentage

C. Percentage, fraction Ex: 60% = 60/100= 3/5 Ex: 96% = 96/100 = 24/25

A fraction is a number that is expressed as one integer written above another integer; it represents a _______ of the two numbers "x divided by y" and can also be thought as there are x out of y equal parts. A. Product B. Result C. Quotient D. Answer

C. Quotient

A negative exponent is the same as the ______ of a positive exponent A. Opposite B. Value C. Reciprocal D. Root

C. Reciprocal

Two numbers added (+) together obtain a ______ A. Difference B. Quotient C. Sum D. Product

C. Sum

When you see the question "what is 60% of 5?" What does the term " what is" mean? A. What is the question B. What is the answer C. What number is equal to D. What is the closest percentage

C. What number is equal to

To divide with rational numbers that contain decimals, both numbers must be converted into a ______ number and then it can be divided straight simply through. Solve 24.5/4.9 A. Fraction B. Decimal C. Whole D. Mixed

C. Whole Step 1. 24.5 —> 245. & 4.9 —> 49. Step 2. 245 / 49 = 5

A^m / A^n = ________ A. mn B. m + n C. m - n D. a^n^x^m

C. m - n

1^25 = A. 1/25 B. 25 C. 25/1 D. 1

D. 1

To convert a DECIMAL to a FRACTION, put the decimal over a denominator of __. Then multiply both the numerator & denominator by tens until there are no more _____ places, if needed, simplify fraction to lowest terms Ex: convert 0.24 to a fraction A. 1, Spaces B. 2, Denominator C. 2, Numerator D. 1, Decimals

D. 1, Decimals 0.24 /1 x 100/100 = 24/100 = 6/25

2/3 x 2/4 = ____ A. 14/12 B. 7/6 C. 4/12 D. 1/3

D. 1/3

To convert from DECIMALS to a PERCENTAGE, simply move the decimal ___ places to the _____ So 5.34 would = _____ A. 1, left B. 1 right C. 2, left D. 2, right

D. 2, right 534%

The reciprocal of -3/5 = A. 3/5 B. -5/3 C. 3/1 D. 5/3

D. 5/3

(a^n )^m = _______ A. mn B. m + n C. m - n D. A^n^x^m

D. A^n^x^m (A ^n times ^m) the two exponents are multiplied together

To convert a FRACTION into a DECIMAL, simply ______ the numerator & denominator together. A. Multiply B. Remove C. Add D. Divide

D. Divide

Since 2/10, 3/15, 4/20 and 5/25 are all reduced to 1/5, they are all considered an ______ fraction A. Proper B. Mixed C. Common D. Equivalent

D. Equivalent

When the term "a is the square root of b (a=✔️b)" what is meant is "a" is ______ to itself to equal "b" A. Subtracted B. Added C. Divided D. Multiplied

D. Multiplied

When multiplying with fractions, which number(s) get multiplied straight across? A. Numerator B. Denominator C. Nothing D. Numerator & denominator

D. Numerator & denominator

When two numbers are multiplied to each other, they obtain a _______ A. Difference B. Quotient C. Sum D. Product

D. Product

Whats 69.27 / 0.3? A. 230.9 B. 176.3 C. 17.63 D. 23.09

First, get rid of decimal so 69.27 x 10 & .3 x 10 692.7 / 3 = 230.9

Whats 18.69 / .005 ? A. 3.738 B. 1.297 C. 1,297 D. 3,738

Get rid of decimal so 18.69 x 1000 & .005 x 1000 18690 / 5 = D. 3,738

The formula to find a percent increase is

I = N-O/O (100) I = increase N = new number O = old number

What is the percent increase of 17 to 72? Use formula

I = N-O/O (100) (formula) I = 72 - 17 / 17 x 100 I= 55 / 17 x 100 I = 3.23 x 100 I = 323%

Zola buys a house for $230,000 in 2016. The value of her house increases by 45% after five years. What is the value of Zola's house in 2021? A. 103,500 B. 333,500 C. 356,500 D. 10,120,000

In order to figure out this question, from my current understanding, use N-O/O x 100 So n-230,000/230000 x 100= 45% Since "n"is not provided, a different approach is taken. Divide 100 to both sides, so 45/100 = .45 then take that and mult by 230,000 giving you 103,500 and add that to 230,000 giving you 333,500 as final answer.

Whats 2.75 in fraction form? A. 2 3/4 B. 2 75/100 C. 2/75 D. 275/100

Leave 2 alone since its a whole # For .75, convert into fraction so .75/1 x 100= 75/100 so 2 75/100 = 2 3/4

arah Anne is baking cookies and the recipe calls for 2/3 cups of butter. She needs a lot of cookies, so she decides to quadruple the recipe. Quickly realizing that's a lot of ookies, she decides to back off a bit and only make the recipe 3 1/2 times the original. in order to do this, how many cups of butter will Sarah Anne need? A. 2 1/3 cups B. 4/21 cups C. 1 2/3 cups D. 1/7 cups

Mult 2/3 x 3 1/2 and simplify to get A. 2 1/3 2/3 x 7/2 = 14/6 then simplify to 7/3 = 2 1/3

A. x^3/4 B. x^2/3 C. x^3/2 D. x^4/3

RESULTS: x^4/3 with 4=exponent & 3=index

Label each one 1. Top right: 2. Top left: 3. Bottom left: 4. Bottom right: A. Exponent B. Radicand C. Radical symbol D. Index

RESULTS: 1. Exponent 2. Index 3. Radical symbol 4. Radicand

Whats the result to multiplying 4 3/8 by 3.5? A. 245/16 B. 15 C. 15 5/16 D. 10 5/16

Step 1) Begin by converting this mixed number & decimal into proper/improper fractions 4 3/8 = (4/1 x 8/8 + 3/8) = (32/8 + 3/8 = 35/8 3.5 = (3/1 x 2/2 + 1/2) —> (6/2 + 1/2) = 7/2 OR 3.5/1 x 10 = 35/10 = 7/2 Step 2) multiply across since proper/improper fractions exist to multiply 35/8 x 7/2 = 245 /16 Step 3) turn improper fraction —> mixed number so 245/16 —> 16 x 15 = 240 and 5 remaining so 15 5/16 so C. is correct

What is 40% (Percent) of 20 (whole)? (Look for part) i think

The number equal to 40% is figured out by 40% —> .4 x (of) 20 = 8

What is 40% of 30? n= 40% x (of) 30 Solve A. 14 B. 12 C. 15 D. 20

n = 40% x (of) 30 so multiply .40 x 30 = 12 B.

What does percent mean?

out of 100 / divided by 100

What percent of 5 is 3? Percent means "p" x (of) 5 = 3 Solve A. 6% B. 7% C. 60% D. 70%

p x (of) 5 = 3 —> 5p = 3 —> 5p / 5 = 3 / 5 —> p = 0.60 —> .60 x 100% —> 60% C.

Again, when you deal with percentage problems, the 3 components that you utilize are _______, ______, _______.

whole, part, percentage