Exam 2: Linear and Absolute Value Equations and Inequalities

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To convert a Fahrenheit temperature to a Celsius temperature, we subtract 32 from the Fahrenheit temperature and then multiply the result by 59\frac{5}{9} . The average temperature on a planet in a solar system is 176F176^{\circ} \mathrm{F} . What is this temperature in degrees Celsius?

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If a boat uses 21 gallons of gas to go 62 miles, how many miles can the boat travel on 63 gallons of gas?

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Graph the solution on a number line, and express it in interval notation. - x+1<2x+1<-2  Graph the solution on a number line, and express it in interval notation. - x+1<-2

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Graph the solution on a number line, and express it in interval notation. - 0.6x+12+x>2x+80.5x0.6 x+12+x>2 x+8-0.5 x  Graph the solution on a number line, and express it in interval notation. - 0.6 x+12+x>2 x+8-0.5 x

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Simplify, where possible - 7y+z6(z+9y)7 y+z-6(z+9 y)

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n34=917\frac{n}{34}=\frac{9}{17}

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7x2=6|7 \mathrm{x}-2|=6

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Graph the solution on a number line, and express it in interval notation. - 6x127x1-6 x-12 \geq-7 x-1  Graph the solution on a number line, and express it in interval notation. - -6 x-12 \geq-7 x-1

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In order for a chemical reaction to remain stable, its Celsius temperature must be no more than 79.29C79.29^{\circ} \mathrm{C} . Find the Fahrenheit temperatures at which the reaction will remain stable. (F=95C+32)\left(\mathrm{F}=\frac{9}{5} \mathrm{C}+32\right) Round your answer to the nearest hundredth of a degree.

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Find the measure of an angle if its supplement measures 295295^{\circ} less than 6 times its complement.

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4t+4=13t+3t4 t+4=1-3 t+3 t

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Solve the inequality. Graph your solution on a number line, and write your solution in interval notation - 342x>33-|4-2 \mathrm{x}|>-3  Solve the inequality. Graph your solution on a number line, and write your solution in interval notation - 3-|4-2 \mathrm{x}|>-3

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Solve the inequality. Graph your solution on a number line, and write your solution in interval notation - 7x+1+4<7|7 \mathrm{x}+1|+4<7  Solve the inequality. Graph your solution on a number line, and write your solution in interval notation - |7 \mathrm{x}+1|+4<7

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Construct a 95% confidence interval for the population mean using the given information. -New medication's effect on total serum cholesterol level of all patients (drop in total cholesterol), x=10.6mg/dL,E=3.1mg/dL\overline{\mathrm{x}}=10.6 \mathrm{mg} / \mathrm{dL}, \mathrm{E}=3.1 \mathrm{mg} / \mathrm{dL}

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A lawyer charges $276\$ 276 per hour to take a case. If we let hh represent the number of hours she works on the case, build a variable expression for the amount she would charge for the case.

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Simplify, where possible - 8a3a+58 \mathrm{a}-3 \mathrm{a}+5

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Evaluate the algebraic expression under the given conditions - 17m217-m^{2} for m=9m=9

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Evaluate the algebraic expression under the given conditions - 7x+97 \mathrm{x}+9 for x=9\mathrm{x}=9

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3(4x1)=123(4 \mathrm{x}-1)=12

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What property of real numbers is illustrated by the following statement: 8+2x=2x+(8)-8+2 \mathrm{x}=2 \mathrm{x}+(-8)

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