Early Start Mathematics 1 Elementary Algebra and Geometry

Transcription

1 Early Start Mathematics Elementary Algebra and Geometry Course Content I. Order of Operations II. Operations with Fractions, Decimals and %; Applications III. Evaluating Expressions, Formulas and Functions IV. Simplifying Expressions; Solving (Linear) Equations V. More Applications, including Ratio-Proportion VI. Translating Verbal fragments/sentences to expressions/equations VII. Exponent laws; Integer Exponents; Scientific Notation VIII. Linear Inequalities Calculator Policy: No calculator, phone, tablet, lap-top, etc. permitted I. Order of Operations Order of Operations Agreement Step : Grouping Symbols: [( )],, ab. value inside-out Step : Exponents Step : Multiplication/division Left Right Step : Addition/subtraction Left Right Example Example Example ( ) 0 () ( ) 0 8() 0 () () Perform the operations; simplify completely. ) ( ) ( ) ( 6) ) 6 ( ) ( ) ) ( 8) (0 ) ) 8[ ] ) 6 ( ) 6) 6 6 ) 0 8 8) ) 6 0 0) ) ) ) 6 ( ) ) 6 0 ) 6 6 ( ) 6) 6( ) ) 8) ( ) ) ( ) 0) 6 6 ) [ ( )] 6

2 II. Operations with Fractions, Decimals, and %; Applications A. Perform the operations; simplify completely. ) ) ) 6) 8 ) ) ) 6 ) 8 8 8) ) ) ) ) ) ) 6) ) ) 8 0 ) 8 0 0) 0 ( 6 ) ) 6 6 ) ( ) ) 0 ) 6 8 ( ) 8 ) 6) 0 ()() (6) ) () ( ) ()( 8) 8) 8 ) 0 8 ( 6) ( 6) ()( ) 0) ) () ( ) 8 8 ( )( ) ) 6 ) ).08.0 ).08. 6).6. ). 0. 8). 0. ) 6(.) (0.) 0) ( 0.) (0.) ). (.) ) (0.).( 0.) ) (.). ) 0.(0.08) ).08 (0.) B. Simplify write result as a simplified fraction or integer. (Think: Divisibility Rules!) ) 0.08 ) 0.6 ). ).8 ) ) ) ). 8. ) )

3 C. Divide - use long division; round result to nearest hundredth when appropriate. ) 0.08 ) 0.6 ). ) 0.8 ) ) ) ) ) ) D. Write each fraction as a decimal. (Note: All decimals terminate.) ) ) ) 00 ) 000 ) 0 ) 0 8) 6 6) 8 ) 80 0) E. Write each fraction as a decimal with a repeat bar. ) ) 8 ) 0 ) ) 6) ) 8 F. Write each decimal as a % and as a simplified fraction. ) 0. ) 0.6 ) 0.06 ) 0.08 ). 6).8 ) ) ).0 0).8 G. Write each fraction as a %. ) ) ) ) ) 0 6) 0 ) 8 8) 8 ) 6 0) 6 H. Write each % as a simplified fraction. ) % ) 6% ) 8% ) % ) 0.% 6) 0.% ) 0.% 8) 0.6% ).06% 0).0% ) % ) 0% I. Find the perimeter and area of each rectangle. Use correct units. ). ft. ) ) m ) 0.8 in ) 6) cm

4 J. Applications ) Wanda mowed of the lawn, while her sister Ana mowed 0 of the lawn. a) What fraction of the lawn did the sisters mow? b) What fraction of the lawn was not mowed by the sisters? c) What percent of the lawn did the sisters mow? ) Sid and Nancy ordered a pizza; Sid ate 0% of a pizza, while Nancy consumed %. a) What % of the pizza is left over? b) Find the simplified fraction of the pizza consumed by Sid and Nancy. ) A recipe calls for cups of flour. Find the amount of flour (as a mixed number) required if that recipe is: a) cut in half b) quadrupled ) There are 0 students in a history class. Fourteen students in the class are history majors. a) If % of the students are male, find the number of males in the class. b) What simplified fraction of the enrolled students does not major in history? c) What % of the students major in history? d) Seven-eighths of the students are right-handed. How many are right-handed? ) At AM, the outside temperature read C. By 6 AM, the temperature had fallen five more degrees. a) Find the temperature at 6 AM. b) If the temperature was 8 C at AM, find the difference between the AM and AM temps. 6) While diving off the coast of Palos Verdes, Nina descended to a depth of 80 feet, swam upwards 6 feet to view a colorful fish, then descended feet. a) Find her current depth underwater. b) If Nina then surfaces, find the total vertical distance traveled during her dive. ) The highest point in California is Mount Whitney,, feet. The lowest point, feet below sea level, is located in Death Valley. Find the difference in elevation between these two points. 8) A triangular garden is pictured. Note: Area = (base)(height) Use correct units. a) Find the perimeter of the garden. 0. b) Find the area of the garden. 6 m c) If one bag of mulch covers square meters, how many bags are needed to cover the garden? 8. m d) If mulch costs $/bag and tax is 8%, find the cost of purchasing that quantity of mulch. ) Silvia had pictures printed for $.6. What was the cost of each print? (Ignore tax.) 0) One -ounce can of cola contains grams of sugar and 0 calories. a) If Elmo drank cans of the cola, how many calories did he consume? b) If Elmo s daily intake is 00 calories, what % of that total did he consume in drinking the cans? c) How many grams of sugar are there per ounce of cola? (Answer with mixed number.) ) Frank purchased a half-gallon (6 ounces) of lemonade. He drank ounces. a) Find the simplified fraction of the lemonade consumed by Frank. b) What percentage of the lemonade remains?

5 III. Evaluating Expressions, Formulas and Functions A. Evaluate each formula at the given value(s). ) C ( F ) ; a) F b) F ) F C ; a) C 0 b) C 0 ) I PRT ; a) P $000; R 0.0; T years b) P $800; R 0.; T years h ) A ( ) B b ; a) h ; b ; B 6 b) h 8; b 6; B ) k mv a) m ; v 6 b) m ; v 8 B. Evaluate each expression at the given value(s). ab ) ; a 6, b ) c d ; c, d 6 ) b a 8 a b a c a b c ( ) ; 0.8,.6, C. Evaluate each function at the given value. ) g( x) 0x; x ) g( x) x ; x ) g( x) x.8; x 0.6 ) g( x) x.; x. ) ) f ( x) 6x x ; x 6) f ( x) 6x x ; x 8) f ( x) 6x x ; x f ( x) 6x x ; x 0. ) f( x) x x 0; x 0) ; x hx ( ) x x D. Solve and simplify. Use the Quadratic Formula: If ) x x 0 ) x x 0 ) ax bx c 0, then x x 0 b b ac x. a ) 8x 0x 0 ) x 0 6) x x 0 E. Determine whether the given value is a solution to the equation. ) ( y) y ; y ) a a 0 a ; a ) 6x x; x ) h h ; h ) w w w ; 0. 6) b ; b0.

6 IV. Simplifying Expressions; Solving (Linear) Equations Simplify the expressions; solve the equations. ) y8 y(6 y) ) ( z w) 6w z ) w( w) 0 w ) 0 ( x) x ) (r) ( r) r 6) ( c)( ) c( c) ) y ( ) y 8) m m ) ( 8 t) (8 t) ) ( ) b (b) b ) bb ) a a ) d d ) bb ) h h ) t t 6 ) h h 8) t t ) v 0) p ) F 0 k ) x ) w ) w 6) x [ ( x)] ) x [ ( x)] ) 0 8) 8n n ) 8 n n 0) 6 [0 a 8( a )] a ) 6 [0 a 8( a )] a ) ( y) (8 y) 8 ) 0.a0..a. ) 0.a0..a. ) 0.8M. 6).r 0.8r ).r 0.8r 8) h0.8h ) h 0.8h 0) aa0 8 ) c c ) 8 r r ) 0.0N N 8N.N ) y y ) y y 0 0 6).nn.. ).n n.. 8) a a 8 6 ) a a 0) 0.8y 0. ) 0.8n ) 0. p0.06 p 0. ) M 0.6M.. ) M 0.6M.. ) 0.y0.06y. 6) 0.y 0.06y. ) 0.(x ). x 8) 0.(x ). x ) 0. p 0.06 p 0. 60) 0. p0.06 p 0.

7 V. More Applications, including Ratio-Proportion A. Solve; simplify solutions. ) ) ) y 6 ) ) 0 6 x ) r r 8 c c y 0.r.08 0.r 8) ) ) 8 y y 6 w 0..6 n 6 n B. Write a ratio-proportion equation with variable, then solve. ) The two triangles are similar. i) Find a and b. ii) Find the perimeter of each triangle. cm 0 0 cm ) The triangles are similar. Find r. 8 ) Twelve ounces of juice concentrate makes quarts of orange juice. How many ounces of concentrate are needed to make quarts? ) A car can travel 0 miles on eight gallons of gas. i) How far can the car go on 0 gallons? ii) If the car traveled 0 miles, how much gas did it use? ) The scale on a map indicates that inches represent actual miles. i) How many miles does eight inches represent? ii) If the distance between two towns is miles, how far apart are they on the map? 6) Melissa can buy five pencils for $0.60. How many pencils can she purchase with $.08? ) David stands near a tree that casts a -ft. shadow, while David s shadow is 0 feet in length. If David is 6 feet tall, how tall is the tree? 8) Sandy s luggage weighs 0 kilograms. She knows that 0 kilograms is equivalent to 0 pounds. How much does her luggage weigh in pounds? ) Kevin drove his truck 0 miles in hours. Assume the rate was constant. i) At this rate, how far would he drive in six hours? ii) How long would it take him to drive 00 miles at that rate? (Express as a mixed number.) iii) How fast is he driving? 0) Six cups of flour are needed to make 0 tarts. How many tarts can be made with cups of flour? cm

8 ) A person weighing 00 pounds on Earth would weigh three pounds on Pluto. If a rhinoceros on Earth weighs 600 pounds, determine its weight on Pluto. ) Park rangers would like to determine the deer population in the local woods. They catch, tag and release 0 deer. Two weeks later, the rangers capture 0 deer and observe that eight of them are wearing tags. Estimate the number of deer in this wooded region. ) Five gallons of paint will cover 80 m. How many m can be covered with gallons of paint? ) To make punch from concentrate, the directions recommend using cup for each gallon of water. i) For three gallons of water, how much concentrate is needed? (Express as mixed number.) ii) How many gallons of water are needed if an entire 6 ounce bottle of concentrate is used to make punch for a party? [Note: cup = 8 ounces] C. More Applications Use correct units! ) The perimeter is 6 cm. ) The perimeter is in. ) The area is ft. a) Find x. a) Find x. a) Find y. b) Find area of rectangle. b) Find area of rectangle. b) Find perimeter. ) The area is 8 m. ) The angles are complementary. 6) The angles are complementary. a) Find y. a) Find x (in degrees). a) Find x (in degrees). b) Find perimeter. b) Find measure of each angle. b) Find measure of each angle. ) The angles are supplementary. 8) The angles are supplementary. a) Find a (in degrees). a) Find y (in degrees). b) Find measure of each angle. b) Find measure of each angle.

9 D. Miscellaneous Applications ) A acre family farm is to be divided into six equal parcels. Find the acreage of each parcel. ) A meatloaf recipe calls for of a teaspoon salt for each pound of meat. a) How much salt is needed for a pound meatloaf? Express as a mixed number. b) If 6 teaspoons of salt were used in preparing a meatloaf, how much meat was used? ) At birth, Rhonda weighed 8 pounds. She gained pounds per month during her first year. a) How much did she weigh after three months? Express as a mixed number. b) Rhonda s weight: W t 8, where t = age in months. When will she reach pounds? ) Susan went on a 6 mile run. Three-fourths of that distance occurred on a dirt trail, while the remaining portion was traveled on a paved bike path. How far did she run on the bike path? ) A room measures 0 feet by 8 feet. Find the room s area and perimeter; use correct units. 6) During a four-day period, Frank logged the following hours at work:, 6, 6, a) Find the total hours worked by Frank during that period. b) If he earned $.00/hour, find his pay for that period. (Ignore taxes, etc.) ) Zippy Bob drove from LA to Las Vegas at a constant 80 miles per hour. How far did he drive in: a) hours b) hours c) one hour and fifteen minutes d) How long would it take to cover 00 miles at Zippy Bob s rate? Express as a mixed number. 8) When driving from Paris to Lyon, Joy maintained a steady 60 kilometers per hour. How far did she drive in: a) hours b) hours c) two hours and ten minutes d) How long would it take Joy to drive 0 km at 60 kph? Express as a mixed number. ) Biff scored 6,, and 8, respectively, on his first four math quizzes. a) Find his average score. b) If he scores 0 on his fifth quiz, find his new average. 0) Nicole s Ford Fusion has a.6 gallon gas tank. On a trip to San Jose, her car used.8 gallons during the first miles. a) Assuming she left with a full tank, how much gas remains in the tank? b) Calculate the car s gas mileage. c) How much further can Nicole drive with the gas still in the tank? ) Billybob s Chevy truck has a gallon gas tank. On a trip, his truck used 8.6 gallons in the first 6. miles. a) Assuming he left with a full tank, how much gas remains in the tank? b) Calculate the truck s gas mileage. c) How much further can Billybob drive with the gas remaining in the tank? ) Gentech s stock price changes for the last week in January were as follows: Monday: up. points Tues.: down. Wed.: down.8 Thurs.: up.6 Fri.: down. a) Find the net change in Gentech s stock price for that week. b) If the price per share was $8.60 at the start of the week, find the end-of-week price/share.

10 ) Calfarm s stock price changes for the last week in March were as follows: Monday: down 8. points Tues.: up. Wed.: up 6. Thurs.: down 0.8 Fri.: up. a) Find the net change in Calfarm s stock price for that week. b) If the price per share was $.0 at the start of the week, find the end-of-week price/share. ) The cost to mail a letter with the US Post Office is cents for the initial ounce, plus cents per additional ounce (or fraction thereof). Find the cost to mail a letter weighing: a) ounces b). ounces c) one pound ) To rent a car at Rent-a-Heap, it costs $/day plus 0 cents per mile. Calculate the cost to rent a car: a) days; drive miles b) one week; drive 0 miles 6) A -gram pendant is 0% silver and % platinum. Find the amount of each precious metal in the pendant. ) A 6-ounce bottle of a vegetable juice blend contains 0% tomato juice and 0% carrot juice. Furthermore, there are 8 ounces of spinach puree in the blend. a) How many ounces of tomato juice are in the juice blend? b) How many ounces of juice other than tomato or carrot are there? c) What percent of the blend does the spinach puree comprise? 8) Tom makes toys. His revenue from the sale of x toy dinosaurs is R x, while his cost of producing the dinosaurs is C x 60. a) Find the value of x at the break-even point, where Revenue = Cost. b) Find the revenue and cost at this value. ) Melinda makes ornamental baskets for Easter. Her revenue from the sale of x baskets is R x, while her cost of producing the baskets is C x 0. a) Find the value of x at the break-even point. b) Find the revenue and cost at this value. VI. Translating Verbal fragments/sentences to expressions/equations Addition. more than a number. x Key terms in translation Subtraction six less than r r 6 eight plus some number 8 n a number minus five t K increased by K seven decreased by x x added to H H y reduced by three y the sum of two numbers a b a subtracted from 0 0 a the total of w and w the difference of and m m

11 Multiplication Division the product of d and 0. 0.d the quotient of 8 and x six multiplied by y 6 y F divided by,000 a number times 6 6r the ratio of two numbers % of some number Two-thirds of n p or p n 8 or x F 000 a b 8 x A. Translate each sentence fragment into an algebraic expression. ) less than a number ) a number reduced by 0 ) 00 more than A ) x increased by nine ) the sum of three times a number and 6) three times the sum of a number and five ) the quotient of more than a number and the number 8) the quotient of a number and more than the number ) % of a squared number 0) the square of % of a number ) the square-root of % of N ) % of the square-root of N ) one-third the difference of and T ) the difference of and one-third T ) the product of five and the cube root of y 6) the cube root of five times y ) eight times the total of A and B 8) the total of A and eight times B ) the ratio of a number decreased by three and the number increased by five 0) the product of half a number and subtracted from the number ) twice a number multiplied by the number reduced by five ) four more than N times six less than N ) minus the difference of a number and six ) ten less than b divided by ) the difference of three times a number and 8 added to the number B. Translate then simplify the expression. ) the sum of a number increased by eight and 0 less than twice the number ) the total of a number decreased by and the number subtracted from six ) divided by twice a number added to the quotient of and twice the number ) ten-thirds a number plus five-thirds the number ) a number increased by % of the number 6) a number increased by % of the number

12 ) eight increased by 0% 8) nine increased by 0% ) the total of % of C and % of C 0) the sum of.% of a number and.% of the number ) three-tenths the cube of H plus one-fourth the cube of H ) four-ninths the square of A increased by five-sixths the square of A ) the difference of twice a number decreased by seven and four more than the number ) a number decreased by nine subtracted from five more than three times the number ) one-sixth a number reduced by nine-tenths the number 6) a number decreased by 0% of the number ) a number decreased by % of the number 8) decreased by 0% ) decreased by 0% 0) 6.% of D minus % of D ) the difference of 0.6% of a number and 0.% of the number ) four-thirds the cube of Y subtracted from three-halves the cube of Y ) one-half the square root of B subtracted from five-eighths the square root of B ) two-thirds a number less than twice the number ) three-fifths a number less than the number 6) more than half a number minus the number decreased by nine ) less than four times a number subtracted from 0 more than the number 8) the product of a number decreased by five and the number ) five times the difference of and twice L 0) the product of 0 times a number and more than the number ) seven more than the number multiplied by two less than the number ) six less than four times a number times the number decreased by one ) the square of the sum of y and eight ) the square of the difference of five and a number ) two-thirds the sum of x and 6) three-fourths the difference of 0 and eight times a number ) the quotient of more than six times a number and three 8) the quotient of five less than 0 times a number and 0 ) the product of 0 and x divided by the difference of twice x and eight 0) the product of and y divided by the sum of three times a number and C. Translate each sentence to an equation; solve. ) Nine more than twice a number is fifteen. ) Seven less than three times a number is. ) If five is subtracted from half a number, the result is. ) Eight more than one-third a number is two. ) The difference of five times a number and is the number increased by three. 6) A number decreased by six is three more than four times the number. ) Twice a number added to half the number is 0. 8) If a number is reduced by four-fifths of that number, the result is three. ) If a number is increased by five-ninths of that number, the result is 8. 0) Three times a number decreased by three-fourths that number -8. ) The difference of two-thirds a number and four is one-half the number. ) Five times the sum of 8 and a number is nine times the number. ) Twice the difference of a number and is four less than three times the number.

13 ) Two-thirds the sum of a number and seven is six. ) Three-fifths the difference of nine and x is -6x. 6) The sum of five-sixths a number and 0 is the difference of three-eighths the number and two. ) Thirty percent of some number is 8. 8) Forty percent of some number is eight. ) Seven percent of some number is ) Twelve percent of some number is 0.6. ) Six more than five percent of N is 0. ) Four less than % of some number is two. ) Sixteen decreased by % of some number is. ) Forty-five percent of twenty is some number. ) Two percent of 6. is some number. D. Applications ) The number of girls in a certain first grade class is five less than twice the number of boys. Find the number of boys in girls in the class if there are students. a) Describe in terms of x : number of boys = number of girls = b) Write an equation; solve. c) Find the number of boys and girls, respectively. ) The number of boys at a basketball camp is four more than three times the number of girls. Find the number of boys in girls at the camp if there are participants. a) Describe in terms of x : number of boys = number of girls = b) Write an equation; solve. c) Find the number of boys and girls, respectively. ) The smaller of two complementary angles is six degrees more than one-third the measure of the larger angle. a) Describe in terms of x : smaller angle = larger angle = b) Write an equation; solve. c) Find the measure of each angle. ) The larger of two supplementary angles is degrees less than four times measure of the smaller angle. a) Describe in terms of x : smaller angle = larger angle = b) Write an equation; solve. c) Find the measure of each angle. ) A piggy bank contains coins, all nickels and quarters. There are three times as many nickels as quarters. a) Describe in terms of x : # nickels = # quarters = b) Write an equation; solve. c) Find the value of the coins in dollars and cents. 6) A piggy bank contains 66 coins, all dimes and pennies. The number of dimes is more than one-half the number of pennies. a) Describe in terms of x : # pennies = # dimes = b) Write an equation; solve. c) Find the value of the coins in dollars and cents.

14 VII. Exponent laws; Integer Exponents; Scientific Notation i) x a b ab x x ii) Laws of Exponents: ( x 0) x x a ab x iii) ( x a ) b x ab b A. Simplify with exponent laws express answers with positive exponents. 6 8 ) r r ) w w ) a ( 8 a ) ) 8 ab( ab) ) 8 x ( 6 x ) x 6) 8 ( ) y y y ) 0 ab ( a b ) 8) 8 p r( p r ) ) ( 6 ) x y 0) ( ab ) ) ab ) ( ) ( p r ) ) y y ) b b ) ( x y)xy 6 6) 6 8 ab ( a b) ) 6 ( a b ) 8) ( ) 6 a b ) ( a b ) 0) ( a b ) ) ( ) a b ) (8 a b ) ) ( a b ) ) ( p q ) 0 ) ( ) a b c 6) ( ) 6 a b c ) ( x y ) 8) ( p q r ) 6 ) ( ) a b a 0) 6 x ( x y ) ) 0 6 ( x y )( x y ) ) ( r p )( r p ) ) ( ) 0 a b ) ( ) 0 x y ) ( x y ) 6 0 6) ( r p ) 0 ) 8) 8 ) ( ) 6 0) ( ) ) r 8 ) r a ) a m m ) p p ) 8rs 8 rs 6) ab 8ab ) 6m 8m 6 8) p p ) a b 8ab 6 6 0) a b a b ) m m m 6 ) p p p ) ) ) ( m n) 6) 6 m n pr ( pr ) ) ab a 8) x x y ) rp r p 60) a b 8 a b

15 B. True or False ) ( a ) ) ( ) ) 6 ( x x ) x ) 0 8 ) x x 6) ( ) 6 ) v 6v 8) ( ) ) 0) n n n ) x x 6 ) C. Write each number in Scientific Notation, rounded to the nearest hundredth:. 0 ),680 ),00 ),8,000 ), ) 8,6,000 6) 86. ) ) ) ).08 ) ) D. Convert to standard form. ).8 0 ). 0 ).8 0 ) ) ).8 0 ) ).8 0 E. Perform the operations. Write answers in Scientific Notation, rounded to nearest hundredth. ) 8 8 (.6 0 ) (. 0 ) ) (.0 ) (.6 0 ) ) (.6 0 ) (.68 0 ) ) (.68 0 ) (. 0 ) ) (. 0 )( 0 ) 6) ( 0 )(. 0 ) ) 8 (.8 0 ) 8) (. 0 ) ) (.0 0 ) 0) (.06 0 ) ) ) ) ) )

16 F. Simplify completely NO decimal answers. ) 0 ) 0 ) 6 ) ) 6) ) 6) ) ) ( ) ) ) 8 ) 8 8) ) 6 8) ) 8 ) ( 8) 0) ) ( ) ) 6 60 ) ( 8) 0 6 0) 6 ) ) 6) 6 ) 8) ) 0) 6 ) 0( ) ) ( ) ) 0 ( ) ) ) 6) 8 6 ) ) 0 ( ) ) 6 6 0) 0 0 VIII. Linear Inequalities A) i) Translate each statement to an inequality. ii) Graph the inequality. Label + numbers. Statement Inequality Graph ) Heather has more than $0 in her purse. ) Egor owns fewer than eight monkeys. ) There are at least people in the club. ) The cost of the bicycle is at most $0. ) More than,00 people attended the concert. 6) The mass of the fox is greater than. kg. ) A recipe calls for no more than cups of water. 8) Beatrice has more than cats, but at most 8. ) At noon, the temperature was between and 80. 0) In his wallet, Juan has at least $, but less than $0.

17 B. Solve and graph the inequalities. Label + numbers. ) aa ) nnn 0 ) w w ) c6(c 8) ) 0 a 6) 600 b ) x..6 8) y. h 0) p ) (d 6) d 8 ) 0 (r ) ) 6 0 ) 0 v ) r ) m 6) p ) a a 8) z z ) b 0 0) 6 x 6 ) 0.6a.6 ) 0.t. ) y 0. y.0 ) n0.6n ) p 6) [ n( n)] ) [ x ( x)] 8) v 6 C. Solve and graph the Compound inequalities. Label + numbers. ) r ) a ) x ) x 6 ) y 6) 0 x 0 ) a 8) c ). a 0). m. ) 0.K ). 0.L ). 0.6w. ).6 0.r 0. ) 0.6y 6).y D. Applications ) The relationship between Celsius and Fahrenheit temperatures is modeled by F C. The temperature in Mammoth ranged from to degrees Fahrenheit on a certain day; solve the inequality C in order to find the corresponding range of Celsius temperatures that day. ) In Death Valley, temperatures ranged from to degrees F; solve C in order to find the corresponding range of Celsius temperatures that day. ) The pressure, in lbs / in, experienced by a scuba diver is modeled by P d, where d is depth 0 below the surface in feet. If a particular diver can safely withstand pressures between and solve the inequality d to determine the range of suitable depths for a dive. 0 lbs / in, ) If a particular diver can safely withstand pressures between 0 and 60 0 d 60 to determine the range of suitable depths for a dive. 0 lbs / in, solve the inequality