Exam 2: Linear and Absolute Value Equations and Inequalities

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Graph the solution on a number line, and express it in interval notation. - x4<3\frac{\mathrm{x}}{-4}<3  Graph the solution on a number line, and express it in interval notation. - \frac{\mathrm{x}}{-4}<3

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The sum of three consecutive odd integers is 207 . Find the integers.

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Simplify, where possible - 5(x7)5(x-7)

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Solve the inequality. Graph your solution on a number line, and write your solution in interval notation - x+2<8|\mathrm{x}+2|<8  Solve the inequality. Graph your solution on a number line, and write your solution in interval notation - |\mathrm{x}+2|<8

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The density of a substance is its mass per unit volume. A formula that relates a substance's density ϱ\varrho (lowercase Greek letter rho) to its mass m\mathrm{m} and volume V\mathrm{V} is m=ϱV\mathrm{m}=\varrho \mathrm{V} . Solve the equation for volume in terms of the other variables.

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Sheila notes that if a=20\mathrm{a}=20 and b=20\mathrm{b}=20 , then ab=ba=0\mathrm{a}-\mathrm{b}=\mathrm{b}-\mathrm{a}=0 . She concludes that for any real numbers a\mathrm{a} and b,ab=ba\mathrm{b}, \mathrm{a}-\mathrm{b}=\mathrm{b}-\mathrm{a} . Do you agree with her reasoning? If not, why not?

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Build a variable expression for the given phrase -A number decreased by two

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Graph the solution on a number line, and express it in interval notation. - 295x+1<9-29 \leq-5 x+1<-9  Graph the solution on a number line, and express it in interval notation. - -29 \leq-5 x+1<-9

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A 9- pound puppy is gaining weight at a rate of 23lb\frac{2}{3} \mathrm{lb} per week. How much more time will it take for the puppy's weight to exceed 2123lb21 \frac{2}{3} \mathrm{lb} ?

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Graph the solution on a number line, and express it in interval notation. - 5x+11255 x+11 \leq-25 or 5x+11255 x+11 \geq 25  Graph the solution on a number line, and express it in interval notation. - 5 x+11 \leq-25  or  5 x+11 \geq 25

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1352+7x=413-5|2+7 \mathrm{x}|=-4

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Company A rents copiers for a monthly charge of $180\$ 180 plus 6 cents per copy. Company B rents copiers for a monthly charge of $360\$ 360 plus 3 cents per copy. What is the number of copies above which Company A's charges are the higher of the two?

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4n29=n5\frac{4 n-2}{9}=\frac{n}{5}

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For the expression, A) determine the number of terms; b) write down each term; and c) write down the coefficient for each. Be sure to simplify the expression before answering. - 6x2x9(6x24x+6)6 x^{2}-x-9\left(6 x^{2}-4 x+6\right)

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z6=1\mathrm{z}-6=1

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A college charges $219\$ 219 per unit for tuition. If we let uu represent the number of units that a student is taking, build a variable expression for the student's tuition.

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If aba \leq b , is it always true that a2b2a^{2} \leq b^{2} ? Explain.

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98x=6|9-8 \mathrm{x}|=6

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Simplify, where possible - 21m84m521 m-8-4 m-5

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x7=0|\mathrm{x}-7|=0

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