Exam 3: Equations, Inequalities and Problem Solving

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Solve the inequality. s > 0.48 + 0.4 s

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Solve the inequality. 6t−4≤7t+76 t - 4 \leq 7 t + 7

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Solve the equation. 6x−8−4x=2x−86 x - 8 - 4 x = 2 x - 8

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16+20(4)−3(3)>316 + 20 ( 4 ) - 3 ( 3 ) > 3

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Raoul received a $25 tip for waiting on a large party. This was $5 more than one-fourth of the tip the head-waiter received. How much did the headwaiter get for a tip? $ __________

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The solution for x<9x < 9 is the same as the solution set for 9>x9 > x

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The rainfall in June was 6.6 inches. This was 2 inches less than twice the rainfall in July. Find the amount of rainfall in inches for July.

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Solve the equation. −- 6 b + 2 = 20

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Graph the solution set for the compound inequality. x>−2x > - 2 and x>1x > 1

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Find a number such that 15 more than one-third of the number equals three-fourths of the number.

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Suppose that Michael is paid two times his normal hourly rate for each hour he works over 46 hours in a week. Last week he earned $560 for 51 hours of work. What is his hourly wage? $__________

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Use the properties of equality to solve the equation. m6=2\frac { m } { 6 } = 2

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For the following problem, solve the inequality. −20n≤−140- 20 n \leq - 140

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The first step after reading a word problem is to write the equation to be solved.

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For the following problem, solve the inequality. 25 x < 225

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The textbook for a biology class cost $17 more than twice the cost of a used textbook for college algebra. If the cost of the two books together is $128, find the cost of the biology book. $__________

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Solve the inequality. 5b7+349<8b21\frac { 5 b } { 7 } + \frac { 3 } { 49 } < \frac { 8 b } { 21 }

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Solve this equation. −- 3( y + 2) = 15

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Solve the equation. −- 6 t + 4 = 34

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Find three consecutive even numbers whose sum is 24. Please enter your answer as three numbers, listed from least to greatest, separated by commas.

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