Exam 2: Equations, Inequalities, and Problem Solving

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Use the formula A A=P(1+rn)nA = P \left( 1 + \frac { r } { n } \right) ^ { n } to find the amount requested. -A principal of $1,000 is invisted in an account paying on annual interest rate of 5%. Find the amount in the account after 9 years if hte account is compounded quarterly.

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Solve the equation. -x-21.9=-13.8

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Graph the solution set of the inequality and write it in interval notation. - {xx0.3}\{ x \mid x \leq 0.3 \}  Graph the solution set of the inequality and write it in interval notation. - \{ x \mid x \leq 0.3 \}

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Solve the equation for the specified variable. - A=12h(B+b)A = \frac { 1 } { 2 } h ( B + b ) for b

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Graph the solution set of the inequality and write it in interval notation. - 6x18- 6 x \geq 18  Graph the solution set of the inequality and write it in interval notation. - - 6 x \geq 18

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Solve the inequality. Write the solution set in interval notation and graph the solution set. - x510x - 5 \leq - 10  Solve the inequality. Write the solution set in interval notation and graph the solution set. - x - 5 \leq - 10

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Solve the compound inequality. Give the answer in interval notation. - 45x+10 or 3x<12\frac { 4 } { 5 } x + 1 \leq 0 \text { or } - 3 x < - 12

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Solve. -A 9-ft. board is cut into 2 pieces so that one piece is 5 feet longer than 3 times the shorter piece. If the shorter piece is x feet long, find the lengths of both pieces.

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Solve the compound inequality. Graph the solution set and give the solution in interval notation. - x<3 or x<9x < 3 \text { or } x < 9  Solve the compound inequality. Graph the solution set and give the solution in interval notation. - x < 3 \text { or } x < 9

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Solve the equation. - 2x5x3=4\frac { 2 x } { 5 } - \frac { x } { 3 } = 4

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Solve the compound inequality. Give the answer in interval notation. - 15<5x3015 < 5 x \leq 30

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Solve the equation. - 9w4+1=7w10+3\frac { 9 w } { 4 } + 1 = \frac { 7 w } { 10 } + 3

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Solve the equation. -8(y+4)-(7y-9)=-3

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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 -An equation in one variable that has every number (for which the equation is defined) as a solution is called a(n) _____

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Solve the inequality. Then graph the solution set and write it in interval notation. - 8y+243>8\left| \frac { 8 y + 24 } { 3 } \right| > 8  Solve the inequality. Then graph the solution set and write it in interval notation. - \left| \frac { 8 y + 24 } { 3 } \right| > 8

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Solve the compound inequality. Graph the solution set and give the solution in interval notation. - x4 or x4x \leq 4 \text { or } x \geq - 4  Solve the compound inequality. Graph the solution set and give the solution in interval notation. - x \leq 4 \text { or } x \geq - 4

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Write the solution set using interval notation. - 5x+1151+4x513\frac { 5 x + 1 } { 15 } - \frac { 1 + 4 x } { 5 } \leq - \frac { 1 } { 3 }

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Solve. -You have taken up gardening for relaxation and have decided to fence in your new rectangular shaped masterpiece. The length of the garden is 6 m and 58 m of fencing is required to completely enclose it. What is the width of the garden?

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Write the inequality. -Write an absolute value inequality representing all numbers x whose distance from 0 is less than 14 units.

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Solve. - x6=2x| x - 6 | = | 2 - x |

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