Exam 3: Equations, Inequalities and Problem Solving

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Solve the equation. 8 = 4 b - 8

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Multiplying both sides of an equation by the LCD will eliminate fractions in the equation.

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For the following problem, solve the inequality. 2>16x+342 > 16 x + 34 Please enter your answer as an interval.

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If eight times a certain number is subtracted from 68, the result is 4. Find the number.

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At a local restaurant, $315 in tips is to be shared between the server, bartender, and busboy. The server gets $30 more than three times the amount the busboy receives. The bartender gets $60 more than the amount the busboy receives. How much will the server receive?

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Solve the equation. b35+b56=1\frac { b } { 35 } + \frac { b } { 56 } = 1

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Solve the equation. 2(10t+6)=10(2t8)2 ( 10 t + 6 ) = 10 ( 2 t - 8 )

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Write the inequality with x on the left side which has the same solution set as for -14 > x .

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Use the properties of equality to solve the equation. 3.1 x = 11.16

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Use the properties of equality to solve the equation. 79t=1- \frac { 7 } { 9 } t = 1

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For the following problem, solve the inequality. 6x242x>86 x - 24 - 2 x > 8

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Two less than four times a number is 30 is translated as 4n2=304 n - 2 = 30 .

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For the following problem state the solution set. 16 - x

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Tickets for a benefit dinner were priced at $10 for students and $15 for nonstudents. There were 1,350 tickets sold for a total of $17,795. How many student tickets were sold?

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A jeweler has priced a diamond ring at $500. This price represents $20 less than twice the cost of the ring to the jeweler. Find the cost of the ring to the jeweler.

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Solve the equation. 23 - z = 27

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Solve the equation. 9z36+12z12z+18=549 z - 36 + 12 z - 12 z + 18 = 54

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Use the properties of equality to solve the equation. 1.7 a = 6.97 Please express your answer as a decimal.

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Solve the equation. 6z+40+4z=606 z + 40 + 4 z = 60

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Solve the equation. 21 - s = 25

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