Exam 3: Equations, Inequalities and Problem Solving

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Solving an equation refers to the process of determining the solution set.

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Use the properties of equality to solve the equation. u5=116\frac { - u } { 5 } = \frac { 1 } { 16 }

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A set of wheels sold in an online auction for $560. This was $35 more than three times the opening bid. How much was the opening bid?

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Use the properties of equality to solve the equation. m - 0.29 = - 0.86

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Solve this equation. Simplify your answer. b3+b5=1\frac { b } { 3 } + \frac { b } { 5 } = 1 Enter your answer as a fraction.

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The length of a rectangular floor is 17 meters. This length is 3 meters less than four times the width of the floor. Find the width of the floor. __________ meters

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Lucy has 37 coins consisting of nickels and quarters amounting to $5.65. How many nickels does she have?

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Solve the inequality. 5(x+4)455 ( x + 4 ) \geq 45

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Todd is on a 1,850-calorie-per-day diet plan. This plan permits 600 calories less than twice the number of calories permitted by Lerae's diet plan. How many calories are permitted by Lerae's plan?

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Solve the equation. b3+b10=1\frac { b } { 3 } + \frac { b } { 10 } = 1

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When the solution to the equation is 1, the equation is called an identity.

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Use the properties of equality to solve the equation. 10p=19- 10 p = \frac { 1 } { 9 }

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Use the properties of equality to solve the equation. 1.6 m = 3.36 Please express your answer as a decimal.

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Use the properties of equality to solve the equation. - 32 = - 5 u Enter your answer in fraction form.

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Solve the equation. 6 (2 t - 1) - (8 t + 7) = 4 ( t + 5) - 33

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Use the properties of equality to solve the equation. p - 0.44 = - 0.63

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Use the properties of equality to solve the equation. x - 6 = 1

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For the following problem state the solution set. x11x \leq - 11

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Solve the inequality. 20x+6>20x+920 x + 6 > 20 x + 9

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Solve the inequality. 3s7+549<8s35\frac { 3 s } { 7 } + \frac { 5 } { 49 } < \frac { 8 s } { 35 }

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