Exam 9: Equations, Inequalities, and Problem Solving

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Solve the problem. -The circle graph below shows the number of pizzas consumed by college students in a typical month. Solve the problem. -The circle graph below shows the number of pizzas consumed by college students in a typical month.   If State University has approximately 24,000 students, about how many would you expect to consume 5-6 pizzas in a typical month? If State University has approximately 24,000 students, about how many would you expect to consume 5-6 pizzas in a typical month?

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Solve. -The area of a rectangle must be at least 96 square feet. If the length is 8 feet, find the minimum for the rectangle's width.

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Solve the equation. - 4(7x)3=x\frac { 4 ( 7 - x ) } { 3 } = x

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Solve. -Five times some number added to 8 amounts to 20 added to the product of 3 and the number.

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Solve the equation. Don't forget to first simplify each side of the equation, if possible. --8.5 + 5x - 6.1 + 2x - 2.8 = 5.2 + 8x + 1.3

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Solve the equation. - b310=6\frac { b } { 3 } - 10 = - 6

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Solve the inequality. Graph the solution set. - 10x39x1310 x - 3 \geq 9 x - 13  Solve the inequality. Graph the solution set. - 10 x - 3 \geq 9 x - 13

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Solve the equation. Don't forget to first simplify each side of the equation, if possible. -28(x - 1)= -4(x + 7)

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Solve. Round answers to the nearest cent. -Jeans are on sale at the local department store for 20% off. If the jeans originally cost $64, find the sale price. (Round to the nearest cent.)

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Solve the equation for the indicated variable. - A=12bh\mathrm { A } = \frac { 1 } { 2 } \mathrm { bh } for b

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Solve. -Eight times a number, added to 8, is 56. Find the number.

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Fill in the blank with one of the words or phrases listed below. no solution all real numbers linear equation in one variable equivalent equations formula reversed linear inequality in one variable the same -If both sides of an inequality are multiplied by the same negative number, the direction of the inequality symbol is_______ .

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Solve the equation. -x + 1.4 = 22

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Solve the equation. -b + 18 = 12

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Solve the equation. -9.4m + 6.9 - 15.4m = -7.1 - 6m + 14

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Solve the equation for the indicated variable. -F = 95\frac { 9 } { 5 } C + 32 for C

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Solve the problem. -A 6-ft. board is cut into 2 pieces so that one piece is 2 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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Substitute the given values into the formula and solve for the unknown variable. -V = 13\frac { 1 } { 3 } Bh; VBh; V = 28, h = 4

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Solve the equation. - x7+4=9\frac { x } { 7 } + 4 = 9

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Solve the equation. -6x + 7 - 4x - 9 = 8x - 6x - 5

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