Exam 2: Equations, Inequalities, and Problem Solving

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Solve. -In 2006, the price of a lake front lot was $101,000. This represent 119% increase over the price in 1994. Find the price of the lot in 1994.

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Solve the inequality. Then graph the solution set and write it in interval notation. - x3| x | \geq 3  Solve the inequality. Then graph the solution set and write it in interval notation. - | x | \geq 3

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Solve the inequality. Write the answer in interval notation. - 3(2 x-9)-4 x>-(x+6)

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Solve. - x+95=6x+8\left| \frac { x + 9 } { 5 } \right| = | 6 x + 8 |

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Solve the compound inequality. Give the answer in interval notation. - 102x+2<4- 10 \leq - 2 x + 2 < - 4

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Write the solution set using interval notation. -2(5 x+1)-2<5(2 x-5)+7

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Solve. -A computer company sold 7,120,000 computers this year. This represents a 9.55% decrease over the number of new computers sold 3 years ago. Use this information to find the number of new computers sold 3 years ago. Round to the nearest thousand.

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List the elements of the set. -If A={-5,-3,-2,-1,2} and B={-5,-3,-2,-1} , list the elements of ABA \cap B

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Solve the equation for the specified variable. -F=pq2+ prq for p

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List the elements of the set. -If A= {xx\{ x \mid x is an even integer } and B= {xx\{ x \mid x is an odd integer}, list the elements of ABA \cup B .

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Fill in the blank with one of the words or phrases listed below. contradiction linear inequality in one variable compound inequalitysolution absolute value consecutive integers union formula linear equation in one variable intersection -When a variable in an equation is replaced by a number and the resulting equation is true, then that number is called a(n)_____ of the equation.

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List the elements of the set. -If A={21,23,24,25,28} and B={21,23,24,25} , list the elements of AB\mathrm { A } \cup \mathrm { B } \text {. }

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Fill in the blank with one of the words or phrases listed below. contradiction linear inequality in one variable compound inequalitysolution absolute value consecutive integers union formula linear equation in one variable intersection -The statement 5 x-0.2=7 is an example of a(n)_____

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Solve. - 3x+124=3\left| \frac { 3 x + 12 } { 4 } \right| = 3

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Solve the equation. --4 x=12

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Write the solution set using interval notation. - 8(y7)8y+1008 ( y - 7 ) \leq 8 y + 100

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Solve the equation. - x+92+x24=194\frac { x + 9 } { 2 } + \frac { x - 2 } { 4 } = \frac { 19 } { 4 }

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Write the solution set using interval notation. - 4x22<19\frac { 4 x - 2 } { 2 } < 19

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Solve the compound inequality. Give the answer in interval notation. - 6x+113 or 4x+313- 6 x + 1 \geq 13 \text { or } 4 x + 3 \geq - 13

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Graph the solution set of the inequality and write it in interval notation. - 23x9\frac { 2 } { 3 } x \geq 9  Graph the solution set of the inequality and write it in interval notation. - \frac { 2 } { 3 } x \geq 9

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