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. - 6x+102(2x3)6 x+10 \leq 2(2 x-3)  Graph the solution on a number line, and express it in interval notation. - 6 x+10 \leq 2(2 x-3)

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5x4(x+4)=9|5 \mathrm{x}-4(\mathrm{x}+4)|=9

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Solve the inequality. Graph your solution on a number line, and write your solution in interval notation - 6x12|6-\mathrm{x}| \leq 12  Solve the inequality. Graph your solution on a number line, and write your solution in interval notation - |6-\mathrm{x}| \leq 12

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Simplify, where possible - 13x6y29x+2y13 x-6 y-29 x+2 y

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A quality-control inspector examined 220 calculators and found 10 of them to be defective. At this rate, how many defective calculators will there be in a batch of 21,780 calculators?

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Solve the inequality. Graph your solution on a number line, and write your solution in interval notation - x8>5|\mathrm{x}-8|>5  Solve the inequality. Graph your solution on a number line, and write your solution in interval notation - |\mathrm{x}-8|>5

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Simplify, where possible - 8x(4x6)(7x+1)8 x-(4 x-6)-(-7 x+1)

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A salesperson has two job offers. Company A offers a weekly salary of $630\$ 630 plus commission of 14%14 \% of sales. Company B offers a weekly salary of $1260\$ 1260 plus commission of 7%7 \% of sales. What is the amount of sales above which Company A's offer is the better of the two?

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(,8)(3,)(\infty,-8) \cup(3, \infty)

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A bag of marbles has twice as many blue marbles as green marbles, and the bag has at least 57 marbles in it. At least how many green marbles does it have?

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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. - 6y2-6 y-2

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Graph the solution on a number line, and express it in interval notation. - 211x712x5-2-11 x-7 \geq-12 x-5  Graph the solution on a number line, and express it in interval notation. - -2-11 x-7 \geq-12 x-5

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Evaluate the algebraic expression under the given conditions - 7(6x)7(6-x) for x=3x=3

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Matthew has two different stocks. One of the stocks is worth twice as much per share as the other. He has 13 shares of the more valuable stock and 45 shares of the other stock. His total assets in stocks is $2272\$ 2272 . How much is the less expensive stock worth per share?

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Use unit factors to convert the given quantity to the desired unit. Round to the nearest tenth if necessary. - 713yd7 \frac{1}{3} y d to in.

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b+3=5b+3=5

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Graph the solution on a number line, and express it in interval notation. - 23(2x1)<6\frac{2}{3}(2 x-1)<-6  Graph the solution on a number line, and express it in interval notation. - \frac{2}{3}(2 x-1)<-6

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Simplify, where possible - 6x+12x6 x+12 x

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The second angle of a triangle is 3 times as large as the first. The third angle is 5050^{\circ} more than the first. Find the measure of the smallest angle.

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Find the length of a rectangular lot with a perimeter of 128 meters if the length is 4 meters more than the width.

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