ATI TEAS 6 Math - Numbers and Algebra Latest 2022 Already Graded A

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ATI TEAS 6 Math - Numbers and Algebra Latest 2022 Already Graded A Write in increasing order: -5,5 2/3, 0.523 ✔✔-5, 0.523, 5 2/3 Which of the following is an expression to compare 8.33 and 8 2/... 3 ? A. 8.33 > 8 2/3 B. 8 2/3 >- 8.33 C. 8.33 = 8 2/3 D. 8 2/3 <- 8.33 ✔✔B. 8 2/3 >- 8.33 which of the following is 25% of 680 pounds? A. 1,700 pounds B. 510 pounds C. 68 pounds D. 170 pounds ✔✔D. 170 pounds The success rate for a salesperson is 1 out of 8 calls. At this rate, how many sales would the salesperson expect to get out of 32 calls? A. 8 B. 256 C. 0.128 D. 4 ✔✔D. 4 Tom is saving money to go to a concert. From his part-time job, he is able to save $18.50 per week. His older bro gave him $25 to start with. If W= number of weeks, which of the following expressions represents the number of weeks until Tom has saved at least $235? A. 8.50W + 25 = 235 B. (25 + 18.50)W >- 235 C. 12.50W + 25 >- 235 D. 12.50W + 25 < 235 ✔✔C. 12.50W + 25 >- 235 Decimal Placement/Converting ✔✔- Value greater than 1, Move decimal to right till you get whole number. - Number becomes numerator and 1 becomes denominator with the number of 0's that matches number of moves for decimal. = *Fraction* - Value less than 1. Use whole number as numerator and the *Place value* of *last decimal Digit* as denominator. =*Fraction* Percentage Convert to/from Decimal ✔✔*TO* - Divide % by 100 then remove % symbol *FROM* - Multiply by 100 then add % symbol Percentage Convert to/from Fraction ✔✔*TO* - Convert to decimal first (divide by 100) then put into simplest form *FROM* - Convert to decimal (multiply to get 100 in denominator then divide by denominator) then put decimal into % Fraction Convert to Decimal ✔✔Divide numerator by denominator Order of Operations ✔✔-PEMDAS (No exponent for TEAS 6) -Parentheses *FIRST* -Multiplication and Division *SECOND* (Left to Right) -Addition and Subtraction *THIRD* (Left to Right) Compare and Order Rational Numbers ✔✔-*Rational Numbers*: -6 (-6/1), 5 (5/1), 100 (100/1) -*Irrational Numbers*: Square root (any prime number), pi -*Numeric Order*: Least to Greatest, Greatest to Least. Best in decimal form. Line them up vertically. -*Fraction/Fraction Form*: 5 2/7 (put into decimal) Divide 2 by 7 to get .2857 which will equal 5.2857 <, _<_ ✔✔Less than, IS fewer than Less than or equal to, is at most, is no more than >, _>_ ✔✔Greater than, IS more than Greater than or equal to, is at least, is no less than = ✔✔Equal, equal to, is, was, were, will be, yields, becomes Common Denominator ✔✔1. Find least on on multiple of denominator 2. Change each fraction to make their denominator the same as least common denominator ~List multiples of each denominator and find SMALLEST number ~Multiply numerator by multiple of LCD, Use LCD as denominator Solve Equations in One Variable ✔✔Collecting all variable terms to *one* side of the equal sign and all the constants on the other side, using addition or subtraction. Once all like terms are combined, last step is to divide. Could also be multiplication by the reciprocal ( One divided by original number). Extraneous ✔✔Incorrect Story that is interesting containing details that aren't necessary to tell you what happened. Erroneous ✔✔Irrelevant Story might contain *conflicting* accounts of what happened due to having multiple observers. Terms Related to Operations ✔✔Sum (+) , Difference (-) , Product (x) , Quotient ( / ) , Per 100 (#% _<_ 100%), Is or Of (#% _>_ 100%) Rational Numbers can be represented by? ✔✔By *fractions* Includes: Whole Numbers, Positives/Negatives, Zero, and all decimals that either terminate or repeat. ~Irrational numbers will not concern us at this point Solve Real World Problems with Percentage ✔✔Percent *LESS THAN OR EQUAL TO* 100% ~(50% -> 50 out of 100%) Percent *MORE THAN* 100% ~(150% is 150 for each 100) -Percent off sales tax, annual percent interest rate at a bank, annual percent gain or loss for a company or business, percent commission for sales person, percent depreciation of assets, percentages of ingredients in a mixture or recipe. Sales Tax Equation ✔✔-Convert % to decimal then Multiply % times the Original Number (% x Original Price, Original Price + x = ST) Percent Increase Equation ✔✔- Percent Increase ~ PI= new amount - original amount/ original amount X 100% Percent Decrease Equation ✔✔PD = original amount - new amount/ original amount X 100% Rounding Rules ✔✔- 5 or *LARGER*, round *UP* (decimals) - 5 or *SMALLER*, Round *DOWN* (decimals) - Numerator is *GREATER THAN OR EQUAL TO 1/2* the denominator, then round whole # *UP* - Numerator is *LESS THAN OR EQUAL TO 1/2* the denominator, then round whole # *DOWN* Proportions ✔✔Ratio in fraction form set equal to another ratio in fraction form. ~Example: 50mi/1cm = X/12.6cm (cross multiply) -> 50mi*x*12.6cm/1cm=X*x*12.6cm/12.6cm (cancel out 12.6cm on Num. and Den.) -> 50mi*x*12.6cm/1cm (cancel out cm) = X -> 630mi = X Constant of Proportionality ✔✔Also known as *Rate of Change* Ratio between two quantities ~Y=k*x (k is constant, y and X are direct proportion) ~One variable is always the product of the other and a constant, the two are said to be directly proportional. Ratio/Rate Change ✔✔-Ratio: Simply just a fraction. Once you add/attach WORDS (units) to fraction then it becomes a RATE. - Example- ~Y2-Y1/X2-X1 rise over run ~Unit Rate - denominator HAS to be 1 Translate Phrases and Sentences into Expressions, Equations, and Inequalities ✔✔Sentence Fragments become *Expression* and Full Sentences becomes *Equations and Inequalities*. -Examples: *Expressions:* 3x-5 , , y , 3(2x+7) *Equations:* 3x-5=70 , y=36 , 3(2x+7)=4x-9 *Inequalities:* x-5>70 , y<36 , 3(2x+7)_<_4x-9 [Show More]

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